 | Select the Course Number to get further detail on the course. Select the desired Schedule Type to find available classes for the course. The Schedule Type links will be available only when the schedule of classes is available for the selected term. |
| MA 00900 - Topics In Elementary Algebra |
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Credit Hours: 0.00. A continuation of selected topics in Elementary Algebra. Repeatable, maximum three times. Typically offered Fall Spring Summer.
0.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: Regional Campus Only Course Attributes: Remedial May be offered at any of the following campuses: PU Fort Wayne Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 01300 - Topics In Intermediate Algebra |
|
Credit Hours: 0.00. A continuation of selected topics in Intermediate Algebra. Typically offered Fall Spring Summer.
0.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: Regional Campus Only Course Attributes: Remedial May be offered at any of the following campuses: PU Fort Wayne Repeatable for Additional Credit: Yes - May be repeated up to 2 times |
| MA 10000 - An Introduction To Mathematical Sciences |
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Credit Hours: 1.00. This course is intended to: integrate freshman mathematics majors into the department; help them adjust to university life; assist them in developing their academic and intellectual capabilities; introduce them to contemporary issues in mathematics; provide an overview of the careers open to those with degrees in mathematics. This course must be taken as pass/no pass only. Credit by examination is not available for this course. Typically offered Summer Fall Spring.
1.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond |
| MA 10100 - Mathematics For Elementary Teachers I |
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Credit Hours: 3.00. A teacher's perspective of the mathematics of the elementary-school curriculum; in particular, sets, numeration, and operations on the whole numbers.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 10200 - Mathematics For Elementary Teachers II |
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Credit Hours: 3.00. A teacher's perspective of the mathematics of the elementary-school curriculum, including operations on the integers and rationals, probability, and statistics. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne |
| MA 10300 - Mathematics For Elementary Teachers III |
|
Credit Hours: 3.00. Geometry and measurement concepts appropriate for the elementary school curriculum, including metric and non-metric properties of geometric figures, measurement, coordinate geometry, graphs, and real-world applications of geometry. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 10500 - Freshman Success Seminar |
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Credit Hours: 1.00. College can be overwhelming at first, and the mathematical sciences, while fun and deeply gratifying to study, may pose additional challenges. This class provides a survival and success guide for all who study towards a degree in mathematical sciences.
1.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: PU Fort Wayne Learning Outcomes: 1. Gain an understanding of how college works: campus, college, department, degrees. 2. Gain an understanding of how to be successful as a student: mindset, habits, skills. 3. Gain sufficient socialization to feel safe and comfortable in the new environment. 4. Gain an appreciation of mathematics as a discipline - its topics, its history, its methodology, and the diverse cultures it grew out of and houses. 5. Gain an appreciate of the skills and habits necessary to be successful in the discipline and have been disabused of debilitating misconceptions about mathematics. 6. Gain an understanding of mathematics as a profession: community, career prospects, salary expectations, ethical conduct. |
| MA 10800 - Mathematics As A Profession And A Discipline |
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Credit Hours: 1.00. A seminar course for undergraduate students interested in majoring in an area of mathematics at Purdue. The purpose is to build prospective mathematics majors' awareness of opportunities to enhance their experiences at Purdue and of career paths available for graduates with a good mathematical background. The format of most classes is a presentation and discussion with an invited speaker/guest, including experts on a different aspect of mathematics in our world today. This course is recommended for undergraduates in their first or second year at Purdue.
1.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Lower Division May be offered at any of the following campuses: West Lafayette |
| MA 10900 - Elementary Algebra |
|
Credit Hours: 3.00. Review of decimals, fractions, percents, integers. Fundamentals of algebra, linear equations and inequalities, word problems, polynomials, factoring, graphs, exponents, square roots, quadratic equations. No credit toward any degree at IPFW. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: Regional Campus Only Course Attributes: Remedial May be offered at any of the following campuses: PU Fort Wayne |
| MA 11100 - Algebra |
|
Credit Hours: 3.00. This is an algebra review course for students not prepared for MA 15200, 15300, or 15900. Topics covered: real numbers, linear functions, solving linear equations and systems of linear equations, absolute value equations and inequalities, rational expressions, complex numbers, proportions, solving quadratic equations.
0.000 OR 3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Laboratory, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond |
| MA 11101 - Algebra Applications And Activities |
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Credit Hours: 1.00. This course will include activities and projects to accompany and enhance the material covered in MA 11100. Typically offered Fall Spring Summer.
1.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: PU Fort Wayne Learning Outcomes: 1. Increased awareness of the meaning and applications of algebra to real life situations. 2. Prepared to be successful in MA 15300. |
| MA 11300 - Intermediate Algebra |
|
Credit Hours: 3.00. Review of operations with real numbers and algebraic expressions, properties of inequalities, absolute value. Linear equations and applications, polynomials and rational expressions, radicals, quadratic equations and inequalities, word problems, introduction to analytic geometry, functions and mathematical models, systems of equations and inequalities, exponential and logarithmic functions. No credit toward any degree at IPFW. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Remedial May be offered at any of the following campuses: PU Fort Wayne |
| MA 11500 - Intermediate Algebra |
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Credit Hours: 3.00. The purpose of this course is to strengthen and expand student's basic algebraic skills and problem-solving capabilities and to prepare them for higher level mathematics courses. For the purposes of general education requirements, Math 115 is not a collegiate level mathematics course, and therefore cannot be used to satisfy the general education requirement for mathematics at Purdue University Northwest. Typically offered Summer Fall Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond |
| MA 12301 - Mathematical Ideas |
|
Credit Hours: 3.00. This course is designed to expose students to a variety of topics that will both enrich and stimulate their interest in mathematics. Topics may include (but are not limited to): the Pigeonhole Principles, Numerical Patterns in Nature, Infinity, The Pythagorean Theorem, and Chaos & Fractals. Additional topics may include: Contortions of space, measuring uncertainty, and mathematical decision making. Typically offered Fall Spring Summer.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. To attain a better understanding of some of the rich mathematical ideas. 2. To build sharper skills for analyzing life issues that transcend mathematics. 3. To develop a new perspective and outlook on the way we view the world. |
| MA 12401 - Introduction To Mathematical Ideas |
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Credit Hours: 3.00. Introduction to problem solving and critical thinking including set theory, logic, numbers and numerical reasoning and elementary algebra. Not intended for programs requiring calculus. Typically offered Fall Spring Summer.
0.000 OR 3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture, Recitation Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: PU Fort Wayne Learning Outcomes: 1. Understanding of basic methods of problem solving; facility with language of set theory and logic; development of elementary number sense. |
| MA 13700 - Mathematics For Elementary Teachers I |
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Credit Hours: 3.00. Designed for prospective elementary school teachers. Problem solving. Numerical reasoning including self-generated and conventional algorithms. Whole and fractional number systems, elementary number theory. (Not available for credit toward graduation in the College of Science.)
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. To model and perform arithmetic operations in bases other than base ten. 2. To convert numbers to scientific notation and perform arithmetic operations in scientific notation. 3. To perform operations with signed numbers. 4. To use properties of addition and multiplication to facilitate arithmetic. 5. To determine when two fractions are equivalent, decimals and percents. 6. To use divisibility rules to determine greatest common factors to decide whether numbers are prime. |
| MA 13800 - Mathematics For Elementary Teachers II |
|
Credit Hours: 3.00. Elementary school teachers must understand how multiplication gives rise to exponents and how to represent, interpret, and compute exponents from problem situations. They must also understand how to represent practical situations using algebraic and fractional expressions, and verbally interpret graphs of functions. They have to know basic concepts of probability theory. This course covers conceptual and practical notions of exponents and radicals; algebraic and rational functions, algebraic equations and inequalities, systems of linear equations, polynomial, exponential, and logarithmic functions. Notions of probability.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. To conceptually understand and correctly perform algebraic operations, solve algebraic equations of degree two, perform operations with exponents and radicals, sketch graphs of certain polynomial, exponential and logarithmic functions. 2. To understand inequalities involving linear functions. 3. To solve 2x2 systems of equation. 4. To understand basic notions of probability, including combinations, permutations, probability of one and/or another event and conditional probability. |
| MA 13900 - Mathematics For Elementary Teachers III |
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Credit Hours: 3.00. Geometric, measurement and spatial reasoning in one, two and three dimensions as the basis for elementary school geometry. Metric and non-metric geometry, transformation geometry. (Not available for credit toward graduation in the College of Science.)
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. Differentiate between various polygons based on number of sides and measures of angles. 2. Find the sum of the measures of the interior angles of a polygon. 3. Draw nets for polyhedra. 4. Differentiate between various types of polyhedra including all regular polyhedra. 5. Determine number of lines of symmetry for a plane figure and orders of rotational symmetry. 6. Determine number of planes of symmetry for a solid figure as well as axes of rotational symmetry. 7. Recognize and draw shapes that tessellate the plane and solid figures that tessellate space. 8. Determine dimensions of similar planar figures. 9. Determine surface area and volume of similar solid figures. 10. Construct perpendicular bisectors and parallel lines using a compass and straightedge. 11. Recognize and draw rigid motions of shapes including translations, reflections and rotations. 12. Determine area of plane figures and surface area and volume of solid figures. 13. Use the Pythagorean Theorem to determine diagonals of solid figures. |
| MA 14000 - Practical Quantitative Reasoning |
|
Credit Hours: 3.00. A course for liberal arts students that shows mathematics as the language of modern problem solving. The course is designed around problems concerning management science, statistics, social choice, size and shape, and computer science. Applications in quality control, consumer affairs, wildlife management, human decision making, architectural design, political practices, urban planning, space exploration, and more may be included in the course. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne |
| MA 14700 - Algebra And Trigonometry For Technology |
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Credit Hours: 3.00. MA 14700 and 14800 is a two semester sequence in algebra and trigonometry for students in technology. The emphasis is on technique and problem solving. MA14700 concentrates on topics in algebra. NOT open to students with credit in MA 15100 or 15300. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond |
| MA 14800 - Algebra And Trigonometry For Technology II |
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Credit Hours: 3.00. Continuation of MA 14700. MA 14800 concentrates on trigonometry. Not open to students with credit in MA 15100 or MA 15400. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond |
| MA 14900 - Basic And College Algebra |
|
Credit Hours: 5.00. A one-semester version of MA 11300 and MA 15300. Only three credits may be counted toward graduation in Arts and Sciences, Business, or Public and Environmental Affairs. Typically offered Fall Spring.
5.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 15300 - College Algebra |
|
Credit Hours: 3.00. Exponents and radicals; algebraic and fractional expressions. Equations and inequalities, systems of linear equations. Polynomial, exponential, and logarithmic functions. Not open to students with credit in MA 15900. Not available for credit toward graduation in the School of Science. CTL:IMA 1601 College Algebra
0.000 OR 3.000 Credit hours Syllabus Available Levels: Indiana College Network, Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Core Transfer Library, Dept Credit, Exempt, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette Anderson Columbus Kokomo Lafayette New Albany Richmond South Bend Vincennes Learning Outcomes: 1. Correctly perform algebraic operations, to solve algebraic equations of degree two, to perform operations with exponents and radicals. 2. Sketch graphs of certain polynomial, exponential and logarithmic functions. 3. Solve systems of equations and inequalities. |
| MA 15400 - Trigonometry |
|
Credit Hours: 3.00. While MA 15400 is a continuation of MA 15300, the course MA 15300 is not a prerequisite. It is suggested that students have a C- or better in MA 15300 or a B- or better in MA 15200. Topics covered include the trigonometric functions, analytic geometry, laws of sines and cosines, vectors, dot product, conic sections, and rational functions. Not open to students with credit in MA 15900. Not available for credit toward graduation in the College of Science. Typically offered Fall Spring Summer.
0.000 OR 3.000 Credit hours Syllabus Available Levels: Indiana College Network, Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Dept Credit, Exempt, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Understand and be able to use trigonometric functions, inverse trigonometric functions, analytic geometry, laws of sines and cosines, vectors and the dot product to solve application problems. 2. Learn about conic sections (ellipses, hyperbolas and parabolas) and rational functions. |
| MA 15555 - Quantitative Reasoning |
|
Credit Hours: 3.00. This course will cover important mathematical ideas, including proportion, weighted averages, linear models, exponential models, basic probability and statistics, and some algebra, by using concrete real-world problems. It will not be a prerequisite for any other mathematics course. CTL: Quantitative Reasoning
0.000 OR 3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Core Transfer Library, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Anderson Columbus Indianapolis Kokomo Lafayette New Albany Richmond South Bend Vincennes Learning Outcomes: 1. Learn proportion and how to apply it to unit conversions, percentage, sales tax and discounts, and inflation. 2. Learn weighted averages and how they apply to the consumer price index and other examples. 3. Learn paradoxes involving weighted averages. 4. Learn linear models and how they apply to electricity bills, income taxes, and climate change. 5. Learn exponential growth and how it applies to compound interest and other financial issues. 6. Learn basic probability theory and how it applies to insurance and games of chance. 7. Learn how algebra is related to the other things learned. |
| MA 15800 - Precalculus - Functions And Trigonometry |
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Credit Hours: 3.00. Functions, Trigonometry, and Algebra of calculus topics designed to fully prepare students for all first semester calculus courses. Functions topics include Quadratic, Higher Order Polynomials, Rational, Exponential, Logarithmic, and Trigonometric. Other focuses include graphing of functions and solving application problems. Not Available for credit toward graduation in the College of Science. Students may not receive credit for both MA 15400 and MA 15800. Students may not receive credit for both MA 15900 and MA 15800.
0.000 OR 3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Dept Credit, Exempt, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Anderson Columbus Indianapolis Kokomo Lafayette New Albany Richmond South Bend Learning Outcomes: 1. An understanding of the concept of a function. 2. An ability to graph and interpret the graphs of a wide variety of functions. 3. An ability to develop mathematical models and solve a variety of application problems, using various types of equations, systems of equations, and functions. 4. An understanding the concept of an inverse function and how to apply that in particular with exponential, logarithmic and trigonometric functions. 5. An understanding of graphical transformations of functions. 6. An understanding of Polar Equations and the ability to graph Polar Equations. |
| MA 15900 - Precalculus |
|
Credit Hours: 5.00. Algebra and trigonometry topics designed to prepare students for calculus. (Not available for credit toward graduation in the College of Science.) Typically offered Fall Spring.
0.000 OR 5.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Recitation Offered By: Regional Campus Only Course Attributes: Credit By Exam, Dept Credit, Exempt, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond Learning Outcomes: |
| MA 15910 - Introduction To Calculus |
|
Credit Hours: 3.00. A survey of differential and integral calculus. Applications to the agricultural, life, managerial, and social sciences. Not available for credit toward graduation in the School of Science. Typically offered Fall Spring.
3.000 Credit hours Syllabus Available Levels: Indiana College Network, Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. To create functional models. 2. To create and simplify difference quotients. 3. To compute basic limits of functions and to apply limit laws. 4. To compute derivatives and to apply basic rules of differentiation. 5. To use derivatives in graphing and solving basic optimization problems. |
| MA 16010 - Applied Calculus I |
|
Credit Hours: 3.00. Topics include trigonometric and exponential functions; limits and differentiation, rules of differentiation, maxima, minima and optimization; curve sketching, integration, anti-derivatives, fundamental theorem of calculus. Properties of definite integrals and numerical methods. Applications to life, managerial and social sciences. CTL:IMA 1604 Calculus - Short I
0.000 OR 3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Core Transfer Library, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Anderson Columbus Indianapolis Kokomo Lafayette New Albany Richmond South Bend Learning Outcomes: 1. To create functional models and simplify difference quotients, compute limits of functions and apply limit laws. 2. To compute derivatives of elementary functions, including exponential, logarithmic and trigonometric functions, and apply rules of differentiation. 3. To sketch the graph of functions with the help of differentiation techniques, find maxima and minima of functions; optimization problems. 4. To computes integrals of some elementary functions and apply the Fundamental Theorem of Calculus. 5. Topics to be covered at a level required to perform standard applications related to life sciences, management and technology. |
| MA 16019 - Applied Calculus I For Technology |
|
Credit Hours: 4.00. This course develops topics from analytical geometry and introduces differentiation and integration. Typically offered Fall Spring Summer.
4.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Demonstrate ability to calculate derivatives of polynomial, power, and rational functions and their compositions. 2. Demonstrate ability to apply derivatives to solve technology-related problems. 3. Demonstrate ability to compute integrals of polynomials, power, and rational functions and their compositions. 4. Demonstrate ability to apply integrals to solve technology-related problems. |
| MA 16020 - Applied Calculus II |
|
Credit Hours: 3.00. This course covers techniques of integration; infinite series, convergence tests; differentiation and integration of functions of several variables; maxima and minima, optimization; differential equations and initial value problems; matrices, determinants, eigenvalues and eigenvectors. Applications. CTL:IMA 1605 Calculus - Short II
0.000 OR 3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Core Transfer Library, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Anderson Columbus Indianapolis Kokomo Lafayette New Albany Richmond South Bend Learning Outcomes: 1. Use techniques of integration to find areas between curves and compute volumes of solids of revolution. 2. Analyze the convergence of infinite series and power series, Taylor series expansions. 3. Compute derivatives of functions of several variables and use them to find maxima and minima of functions. 4. Perform multiple iterated integration. 5. Use differential equations for modeling simple real life situations. 6. Solve first order linear initial value problems and separable equations. 7. Apply matrix operations to solve linear equations, find matrix inverses, compute determinants and eigenvectors. 8. Topics to be covered at a level required to perform standard applications related to life sciences, management and technology. |
| MA 16021 - Applied Calculus II And Differential Equations |
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Credit Hours: 3.00. Techniques of integration and applications to technology problems such as work and fluid pressure; infinite series, convergence tests; differential equations and initial value problems; separable differential equations, second order differential equations; Laplace transform; Fourier series. Typically offered Fall Spring Summer.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Use techniques of integration to find areas between curves. 2. Compute volumes of solids of revolution, work and fluid pressure. 3. Analyze the convergence of infinite series and Taylor series expansions. 4. Solve first order linear initial value problems and separable equations. 5. Solve second order homogeneous differential equations with constant coefficients. 6. Use the Laplace transform to solve non-homogeneous second order equations. 7. Express the Fourier series of a periodic function (without analyzing its convergence). |
| MA 16031 - Calculus I For Life Sciences |
|
Credit Hours: 3.00. This is the first course in a two-course sequence. It covers the single-variable calculus topics of value to majors in the life sciences. Topics include functions, limits, derivatives and their applications to the life sciences, and discrete-time dynamical systems. Typically offered Fall Spring Summer.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Demonstrate the ability to compute the first and second derivatives of elementary functions and their compositions. 2. Demonstrate the ability to model and solve real world problems dealing with updating functions and equilibria. 3. Demonstrate the ability to construct graphs of functions and determine their extreme values. |
| MA 16032 - Calculus II For Life Sciences |
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Credit Hours: 3.00. This is the second course in a two-course sequence. Topics will include continued work with differentiation and integration of elementary functions and their compositions, application to pure-time and autonomous differential equations, and basic probability applied to life-science problems. Typically offered Fall Spring Summer.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Demonstrate ability to compute derivatives and integrals of elementary functions and their compositions. 2. Demonstrate ability to graphically solve life-science problems dealing with pure-time and autonomous differential equations. 3. Demonstrate ability to solve life-science problems dealing with elementary probability. |
| MA 16100 - Plane Analytic Geometry And Calculus I |
|
Credit Hours: 5.00. Introduction to differential and integral calculus of one variable, with applications. Some schools or departments may allow only 4 credit hours toward graduation for this course. Designed for students who have not had at least a one-semester calculus course in high school, with a grade of "A" or "B". Not open to students with credit in MA 16500. Demonstrated competence in college algebra and trigonometry.
0.000 OR 5.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Practice Study Observation, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Exempt, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. To compute limits and to apply limit laws. 2. To apply rules of differentiation to compute derivatives of elementary functions. 3. To sketch graphs of functions with the aid of differentiation techniques. 4. To find maxima and minima of functions; optimization problems 5. To compute integrals of some elementary functions and to apply the Fundamental Theorem of Calculus to compute areas of certain planar regions |
| MA 16200 - Plane Analytic Geometry And Calculus II |
|
Credit Hours: 5.00. Continuation of MA 16100. Vectors in two and three dimensions, techniques of integration, infinite series, conic sections, polar coordinates, surfaces in three dimensions. Some schools or departments may allow only 4 credit hours toward graduation for this course.
0.000 OR 5.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Apply techniques of integration (integration by parts, trigonometric substitution and partial fractions) to compute areas of planar regions, volumes of solids of revolution and areas of surfaces of revolution, work, moments and centers of mass of homogeneous laminas. 2. Apply tests of absolute convergence of series to find the interval of convergence of some power series. 3. Find the Taylor and Maclaurin series of some exponential, rational and trigonometric functions. 4. Use polar coordinates to make it possible to sketch the graphs of some curves. 5. Understand the definition of a Riemann sum, and should be able to apply elementary approximation methods of integration. |
| MA 16290 - Data Science Labs: Calculus |
|
Credit Hours: 1.00. This course consists of weekly computer laboratories which apply concepts learned in Calculus I and II to data science problems. Main topics covered include function sampling and approximation, numerical differentiation, numerical integration, Jupyter notebooks, introductory Python programming, object oriented programming, and data acquisition with microcontrollers and sensors.
1.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Laboratory Offered By: College of Science Department: Mathematics Course Attributes: Lower Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Use mathematical tools to process and extract information from data. 2. Interact with Jupyter notebooks. 3. Write applications in Python 2. 4. Acquire basic object oriented programming skills. 5. Acquire and interpret sensor data. |
| MA 16300 - Integrated Calculus Analysis Geometry I |
|
Credit Hours: 5.00. Topics from plane analytic geometry. Introduction to differentiation and integration. Applications. Typically offered Fall Spring Summer.
5.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture, Recitation Offered By: Regional Campus Only Course Attributes: Credit By Exam, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond |
| MA 16400 - Integrated Calculus Analysis Geometry Il |
|
Credit Hours: 5.00. Continuation of MA 16300. Completion of introductory study of topics in plane analytic geometry and the calculus of one variable, infinite series. Typically offered Fall Spring Summer.
5.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Dept Credit, Lower Division May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond |
| MA 16500 - Analytic Geometry And Calculus I |
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Credit Hours: 4.00. Introduction to differential and integral calculus of one variable, with applications. Conic sections. Designed for students who have had at least a one-semester calculus course in high school, with a grade of "A" or "B", but are not qualified to enter MA 16200 or 16600, or the advanced placement courses MA 27100. Demonstrated competence in college algebra and trigonometry. CTL:IMA 1602 Calculus - Long I
0.000 OR 4.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Core Transfer Library, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Concurrent Credit PU Fort Wayne West Lafayette Learning Outcomes: 1. To compute limits and to apply limit laws. 2. To apply rules of differentiation to compute derivatives of elementary functions. 3. To sketch graphs of functions with the aid of differentiation techniques. 4. To find maxima and minima of functions; optimization problems. 5. To compute integrals of some elementary functions and to apply the Fundamental Theorem of Calculus to compute areas of certain planar regions. |
| MA 16600 - Analytic Geometry And Calculus II |
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Credit Hours: 4.00. Continuation of MA 16500. Vectors in two and three dimensions. Techniques of integration, infinite series, polar coordinates, surfaces in three dimensions. Not open to students with credit in MA 16200. CTL:IMA 1603 Calculus - Long II
0.000 OR 4.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Recitation Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Core Transfer Library, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne West Lafayette Learning Outcomes: 1. Apply techniques of integration (integration by parts, trigonometric substitution and partial fractions) to compute areas of planar regions, volumes of solids of revolution and areas of surfaces of revolution, work, moments and centers of mass of homogeneous laminas. 2. Apply tests of absolute convergence of series to find the interval of convergence of some power series. 3. Find the Taylor and Maclaurin series of some exponential, rational and trigonometric functions. 4. Use polar coordinates to make it possible to sketch the graphs of some curves. 5. Understand the definition of a Riemann sum, and should be able to apply elementary approximation methods of integration. |
| MA 17000 - Introduction To Actuarial Science |
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Credit Hours: 2.00. (STAT 17000) An introduction to actuarial science from the point of view of practicing actuaries from life insurance, casualty insurance and consulting; introduction to insurance and the mathematical theory of interest; application of spreadsheets to problems related to actuarial science.
0.000 OR 2.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Laboratory, Lecture All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Lower Division May be offered at any of the following campuses: West Lafayette |
| MA 17500 - Introduction to Discrete Mathematics |
|
Credit Hours: 3.00. Sets, logical inference, induction, recursion, counting principles, binary relations, vectors and matrices, graphs, algorithm analysis. Typically offered Fall Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 18300 - Professional Practicum I |
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Credit Hours: 0.00. Professional Practicum. For Cooperative Education students only; must be accepted for the program by the cooperative program coordinator. Permission of department required.
0.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: College of Science Department: Mathematics Course Attributes: Coop, Full-Time Privileges, Lower Division May be offered at any of the following campuses: PU Fort Wayne West Lafayette |
| MA 18400 - Professional Practicum II |
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Credit Hours: 0.00. Professional Practicum. Permission of department required. Typically offered Fall Spring Summer.
0.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: Regional Campus Only Course Attributes: Coop, Full-Time Privileges, Lower Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 19000 - Topics In Mathematics For Undergraduates |
|
Credit Hours: 1.00 to 5.00. Supervised reading courses as well as special topics courses for undergraduates are given under this number. Permission of instructor required.
0.000 TO 5.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Laboratory, Lecture, Recitation Offered By: College of Science Department: Mathematics Course Attributes: Lower Division, Variable Title May be offered at any of the following campuses: PU Fort Wayne West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times Learning Outcomes: 1. Learn about mathematical thinking and practice. |
| MA 20500 - Discrete Mathematics For Computer Technology |
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Credit Hours: 3.00. The course covers topics in discrete mathematics which are essential to the discipline of computer technology. These include: logic, sequences, mathematical induction, basic set theory, functions, recursion, relations, graphs, and trees. Typically offered Fall Spring Summer.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Understand the basic concepts of: a) The Logic of a Compound Statement, b) Sequences, c) Set Theory, d) Functions, e) Recursion, f) Graphs and Trees, g) Finite-Sate Automata. 2. Apply basic concepts of discrete mathematics as a tool to solve problems commonly encountered in computer technology to the following areas: a) Digital Logic Circuits, b) Number Systems and Circuits for Addition, c) Solving Recurrence Relations by iteration, d) Regular Expressions and Regular Languages. |
| MA 20600 - Computer Algebra And Programming |
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Credit Hours: 3.00. Using a computer algebra system to solve mathematics problems, learning how to translate mathematical notation and procedures into the language of the computer algebra system. Learning the basic concepts of programming languages, comparing programming concepts with mathematical concepts.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Understand how to define and work with functions using MATLAB expressions. 2. Know the basic data types in MATLAB and explain how expressions are stored as data structures. 3. Know how to draw two and three dimensional graphs of functions and equations. 4. Understand how MATLAB can be used to solve mathematical problems. |
| MA 21300 - Finite Mathematics I |
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Credit Hours: 3.00. Basic logic, set theory. Elementary probability, Markov chains. Vectors, matrices, linear systems, elementary graph theory. Applications to finite models in the managerial, social, and life sciences; and computer science. Typically offered Summer.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division May be offered at any of the following campuses: PU Fort Wayne Learning Outcomes: 1. Solve linear systems of equations for business, managerial and social science problems. 2. Utilize financial formulas. 3. Apply probability techniques to business, managerial and social science problems. 4. Improve student knowledge in the applications of technology to business, managerial and social science problems. |
| MA 22700 - Calculus For Technology I |
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Credit Hours: 4.00. Functions, derivatives, integrals. Applications to problems in the engineering technologies. Typically offered Fall Spring.
4.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne |
| MA 22800 - Calculus For Technology II |
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Credit Hours: 3.00. Continuation of 227. Further topics in differentiation and infinite series, integration. Introduction to infinite series, harmonic analysis, differential equations, and Laplace transforms. Applications to problems in the engineering technologies. Typically offered Fall Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne |
| MA 22900 - Calculus For The Managerial, Social, And Biological Sciences I |
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Credit Hours: 3.00. Differential and integral calculus of one variable. Applications to problems in business and the social and biological sciences. Typically offered Summer Fall Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne |
| MA 23000 - Calculus For The Managerial, Social And Biological Sciences II |
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Credit Hours: 3.00. A continuation of 229 covering topics in elementary differential equations, calculus of functions of several variables, and infinite series. Typically offered Summer Fall Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne |
| MA 23700 - Advanced Topics In Mathematics For Elementary School Teachers I |
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Credit Hours: 3.00. Topics in algebra and functions such as axioms, algebraic notation and equations. Modeling of problems, concepts of a function, representation of functions, and types of functions (linear, quadratic, exponential, etc.), number systems, number theory, and set theory. Appropriate technologies for teaching such topics will be used. Permission of department required. Typically offered Fall Spring Summer.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Demonstrate an understanding of the instructional decision-making processes of guided reinvention teachers. 2. Have developed the mathematics that underlies the procedures used for operations involving rational numbers. 3. Apply the fundamental ideas of number theory and set theory. 4. Make sense of large and small numbers and use scientific notation. 5. Analyze and explain real numbers and whether or not the field axioms hold. 6. Analyze and represent patterns relations, and functions (for linear, quadratic and exponential functions). 7. Use mathematical models to represent quantitative relationships. 8. Analyze change in various contexts. |
| MA 23900 - Advanced Topics In Mathematics For Elementary School Teachers III |
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Credit Hours: 3.00. Topics in proportionality, geometry, and measurement such as proportional reasoning and rescaling in geometric contexts, perspective, congruence and similarity, basic geometric figures, transformations, coordinate geometry, geometric measurement in multiple dimensions, constructions, proof and argumentation. Appropriate technologies for teaching such topics will be used. Permission of department required. Typically offered Fall Spring Summer.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Demonstrate knowledge of core concepts and principles of Euclidean geometry in two and three dimensions. 2. Exhibit knowledge of informal proof. 3. Specifiy locations and describe spatial relationships using coordinate geometry. 4. Analyze properties and relationships of geometric shapes and structures. 5. Apply transformation and use congruence, similarity, and line or rotational symmetry. 6. Apply techniques, tools, and formulas to determine measurements. 7. Employ estimation as a way of understanding measurement units and processes. 8. Completes error analysis through determining the reliability of the numbers obtained from measurement. 9. Demonstrate an understanding of the instructional decision-making processes of guided reinvention teachers. |
| MA 25000 - Problem Solving In Probability |
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Credit Hours: 2.00. (STAT 25000) This course is designed to teach techniques for solving problems in probability theory which are relevant to the actuarial sciences. It is intended to help actuarial students prepare for the Society of Actuaries and Casualty Actuarial Society Exam P/1. Credit of Examination is not available for this course.
2.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Lower Division May be offered at any of the following campuses: West Lafayette |
| MA 26100 - Multivariate Calculus |
|
Credit Hours: 4.00. Planes, lines, and curves in three dimensions. Differential calculus of several variables; multiple integrals. Introduction to vector calculus. Not open to students with credit in MA 27100.
0.000 OR 4.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. Know the equations for lines, planes and quadric surfaces in three dimensional space, and understand how these equations relate to the geometry. 2. Understand the relationship between vector functions and parametrized motion; know how to calculate velocity, acceleration, arc length and curvature. 3. Know the meaning of partial derivatives and how to calculate them. Know the multivariable chain rule. 4. Know the meaning of the gradient, how to calculate it, and how to apply it to directional derivatives and maximum and minimum values. 5. Understand the meaning of double and triple integrals; know how to compute them and how to apply them. 6. Understand the meaning of vector fields and line integrals. Know Green's theorem and be able to apply it. 7. Understand the meaning of surface integrals and know how to calculate them. Know Stokes' theorem and be able to apply it. |
| MA 26200 - Linear Algebra And Differential Equations |
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Credit Hours: 4.00. Linear algebra, elements of differential equations. Not open to students with credit in MA 26500 or 26600.
0.000 OR 4.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne West Lafayette |
| MA 26300 - Multivariate And Vector Calculus |
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Credit Hours: 4.00. This course is primarily for students majoring in mathematics, but is appropriate for students majoring in engineering and the physical sciences who want a stronger background in vector calculus than is available in MA 26100. Geometry of Euclidean space; partial derivatives, gradient; vector fields, divergence, curl; extrema, Lagrange multipliers; multiple integrals, Jacobian; line and surface integrals; theorems of Green, Gauss, and Stokes. Typically offered Fall.
4.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 26400 - Differential Equations |
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Credit Hours: 3.00. A first course in ordinary differential equations. First order differential equations, linear and nonlinear systems of differential equations, and second order differential equations. Not open to students with credit in MA 26200.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond |
| MA 26500 - Linear Algebra |
|
Credit Hours: 3.00. Introduction to linear algebra. Systems of linear equations, matrix algebra, vector spaces, determinants, eigenvalues and eigenvectors, diagonalization of matrices, applications. Not open to students with credit in MA 26200, 27200, 35000 or 35100.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. Learn the basic properties of matrices. 2. Learn how to solve systems of linear equations. 3. Learn the basic properties of determinants. 4. Learn about linear independence, spanning sets and bases in the context of vector spaces. 5. Learn the theory of inner product spaces and how it applies to least-squares approximations. 6. Learn the theory of eigenvalues and eigenvectors and how it applies to systems of differential equations. |
| MA 26600 - Ordinary Differential Equations |
|
Credit Hours: 3.00. First order equations, second and n'th order linear equations, series solutions, solution by Laplace transform, systems of linear equations. It is preferable but not required to take MA 26500 either first or concurrently. Not open to students with credit in MA 26200, 27200, 36000, 36100, or 36600.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette |
| MA 27101 - Honors Multivariate Calculus |
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Credit Hours: 5.00. This course is the Honors version of MA 26100, Multivariate Calculus; it will also include a review of infinite series. The course is intended for first-year students who have credit for Calculus I and II. There will be a significant emphasis on conceptual explanation, but not on formal proof. Permission of department is required.
0.000 OR 5.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Honors, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Know techniques of vector algebra and be able to apply these to the geometry of space; in particular they will be able to find equations for lines and planes in space. 2. Find equations for standard surfaces in space. 3. Use vector methods to analyze motion in space, and calculate arc length and curvature. 4. Acquire a conceptual and computational knowledge of infinite series; in particular they will be able to test for convergence, and to do calculations with power series. 5. Understand the meaning of partial derivatives in various situations, and will be able to calculate with them. 6. Know the multivariable chain rule and its meaning, and will be able to apply it to calculate derivatives in various situations. 7. Know the meaning of directional derivatives and how to calculate them. 8. Find tangent planes. 9. Find and classify extreme values and saddle points and use the method of Lagrange multipliers. 10. Know the meaning of multiple integrals and how to calculate them. 11. Know the meaning of line integrals and surface integrals and how to calculate them. 12. Know Green's theorem, Stokes' theorem, and the divergence theorem and their applications. |
| MA 27300 - Introduction To Financial Mathematics |
|
Credit Hours: 3.00. A mathematical treatment of some of the fundamental concepts of financial mathematics and their application to real world business situations and basic risk management. Includes discussions of interest rates, discount rates, annuity valuation, bond valuation, cash flow valuation, spot rates, forward rates, Macaulay duration, modified duration, effective duration, convexity, and immunization, and their use in risk management. Provides preparation for the SOA/CAS Actuarial Exam FM/2. Typically offered Fall.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: PU Fort Wayne Learning Outcomes: 1. Demonstrate knowledge of key concept, including interest and discount rates, present and future value, annuity, perpetuity, yield rate, allocation of investment income, duration, convexity, immunization, bonds, certificates of deposit, mortgage, and stocks. 2. Demonstrate the ability to apply the key concepts in financial scenarios. |
| MA 27302 - Financial Math Practicum |
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Credit Hours: 1.00. This course teaches techniques for solving problems in financial mathematics, utilizing an understanding of interest rates, annuities, and financial instruments. The course helps actuarial students prepare for the Society of Actuaries and Casualty Actuarial Society Exam FM/2.
1.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: PU Fort Wayne Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times Learning Outcomes: 1. Understand and be able to perform calculations relating to present value, current value, and accumulated value. 2. Calculate present value, current value, and accumulated value for sequences of non-contingent payments. 3. Understand key concepts concerning loans and how to perform related calculations. 4. Understand key concepts concerning bonds, and how to perform related calculations. 5. Understand key concepts concerning yield curves, rates of return, and measures of duration and convexity, and how to perform related calculations. 6. Understand key concepts concerning cash flow matching and immunization, and how to perform related calculations. 7. Understand key concepts concerning interest rate swaps, and how to perform related calculations. 8. Understand key concepts concerning the determinants of interest rates, the components of interest, and how to perform related calculations. |
| MA 27500 - Intermediate Discrete Mathematics |
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Credit Hours: 3.00. Formal logic, proof techniques, elementary number theory, mathematical induction, functions, recurrence relations, sets, combinatorics, elementary graph theory, and applications. Students may not count both MA 17500 and MA 27500 towards graduation. Typically offered Fall Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Credit By Exam, Lower Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 27900 - Modern Mathematics In Science And Society |
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Credit Hours: 3.00. The course covers topics in combinatorics and probability applied to real life situations such as the paradoxa of democracy, weighted voting, fair division, apportionment, traveling salesmen, the mathematics of networks, Fibonacci numbers, golden ratio, growth patterns in nature, mathematics of money, symmetry, fractals, censuses and surveys, random sampling, sample spaces, permutations and uniform probability spaces.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Lower Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. The students will gain knowledge, overview, and understanding in several fundamental mathematical subdisciplines which fall into four basic categories: voting and apportionment; growth; management of networks; data analysis. 2. Students will assimilate these mathematical ideas while applying them to practical everyday questions, and in turn gain an understanding how real-life programs give rise to development of mathematical theories. |
| MA 28400 - Professional Practicum III |
|
Credit Hours: 0.00. Professional Practicum. Permission of department required. Typically offered Fall Spring Summer.
0.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: Regional Campus Only Course Attributes: Coop, Full-Time Privileges, Lower Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 29000 - Topics In Mathematics For Undergraduates |
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Credit Hours: 1.00 to 5.00. Supervised reading courses as well as special topics courses for undergraduates are given under this number. Permission of instructor required.
1.000 TO 5.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Laboratory, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Lower Division, Variable Title May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 29199 - Cooperative Experience I |
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Credit Hours: 0.00. Professional experience in mathematics. Program coordinated by school with cooperation of participating employers. Students submit summary report and company evaluation. Professional Practice students only. Permission of department required.
0.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: College of Science Department: Mathematics Course Attributes: Coop, Full-Time Privileges, Lower Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Apply knowledge to identifying and solving problems in the professional context. 2. Advance skills related to professional preparation, critical thinking, problem solving, communication and teamwork. 3. Increase understanding of the profession and practice, basic industry principles, and principles and practice of ethical responsibility in professional work. |
| MA 29299 - Cooperative Experience II |
|
Credit Hours: 0.00. Professional experience in mathematics. Program coordinated by school with cooperation of participating employers. Students submit summary report and company evaluation. Professional Practice students only. Permission of department required.
0.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: College of Science Department: Mathematics Course Attributes: Coop, Full-Time Privileges, Lower Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Apply knowledge to identifying and solving problems in the professional context. 2. Advance skills related to professional preparation, critical thinking, problem solving, communication and teamwork. 3. Increase understanding of the profession and practice, basic industry principles, and principles and practice of ethical responsibility in professional work. |
| MA 30100 - An Introduction To Proof Through Real Analysis |
|
Credit Hours: 3.00. An introduction to abstract reasoning in the context of real analysis. Topics may include axioms for the real numbers, mathematical induction, formal definition of limits, density, decimal representations, convergence of sequences and series, continuity, differentiability, the extreme value, mean value and intermediate value theorems, and cardinality. The emphasis, however, is more on the concept of proof than on any one given topic.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 30300 - Differential Equations And Partial Differential Equations For Engineering And The Sciences |
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Credit Hours: 3.00. This is a methods course for juniors in any branch of engineering and science, designed to follow MA 26200 or MA 26600. Materials to be covered are: linear systems of ordinary differential equations, nonlinear systems, Fourier series, separation of variables for partial differential equations, and Sturm-Liouville theory.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Learn to solve second order linear differential equations by using power series. 2. Learn the Laplace Transform method for solving differential equations. 3. Learn the theory of systems of first order linear differential equations and methods for solving them. 4. Learn numerical methods for solving differential equations. 5. Learn about Fourier series and how to use them to solve separable partial differential equations. |
| MA 30500 - Foundations Of Higher Mathematics |
|
Credit Hours: 3.00. Fundamental concepts used in higher courses, including logic and proof techniques, set theory, functions and relations, cardinality, number systems, the real numbers as a complete ordered field, and Epsilon-delta techniques.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 31400 - Introduction To Mathematical Modeling |
|
Credit Hours: 3.00. This course is intended to be accessible to students outside the mathematical and physical sciences. Formulation of mathematical models for applications in the biological, physical, and social sciences. Discrete and continuous models employing random and nonrandom simulation will be studied, with projects selected to fit the background and interests of the students. Typically offered Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 31500 - Introduction To Abstract Mathematics |
|
Credit Hours: 3.00. This course is a bridge from the mainly computational mathematics courses to the upper-level abstract courses. It focuses on the development of students' abilities to construct proofs, examples and counterexamples. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond |
| MA 32100 - Applied Differential Equations |
|
Credit Hours: 3.00. Designed primarily for EET majors. Ordinary differential equations with emphasis on linear equations and their applications. Laplace transforms. Fourier series, and an introduction to partial differential equations and their applications. No credit for Math Majors. Typically offered Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 33000 - Concepts In Geometry |
|
Credit Hours: 3.00. Fundamental concepts in geometry. Euclidean, non-Euclidean (including spherical and hyperbolic geometry), and fractal geometry. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond |
| MA 34100 - Foundations Of Analysis |
|
Credit Hours: 3.00. An introductory course in rigorous analysis, covering real numbers, sequences, series, continuous functions, differentiation, and Riemann integration. MA 30100 is helpful but not required.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 34800 - Discrete Mathematics |
|
Credit Hours: 3.00. A problem-centered introduction to topics in discrete mathematics including induction, permutations, combinations, graphs, recurrence relations and generating functions.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Understand basic logic and have the ability to write simple proofs, including proofs by induction. 2. Demonstrate a knowledge of basic set theory and relations on sets. 3. Understand basic combinatorics and use it to solve counting problems. 4. Understand basic concepts of graph theory and have the facility to apply graph theoretic models. |
| MA 34900 - Signals And Systems For Mathematicians |
|
Credit Hours: 3.00. This course introduces the mathematical framework for the description, analysis and processing of signals such as music, speech and images. Main topics covered include signal representations in different bases; continuous-time signal sampling; and signal processing by linear and time-invariant systems.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Describe and analyze continuous-time and discrete-time signals in different bases. 2. Understand the relation between a continuous-time signal and a sampling of that signal, including methods to reconstruct a continuous-time signal from its samples and applicability conditions. 3. Describe and analyze the properties of continuous-time and discrete time systems in different bases. 4. Construct linear and time-invariant systems to process continuous-time and discrete-time signals. |
| MA 35100 - Elementary Linear Algebra |
|
Credit Hours: 3.00. Systems of linear equations, finite dimensional vector spaces, matrices, determinants, eigenvalues and eigenvector applications to analytical geometry. Not open to students with credit in MA 26500.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, GTC-Quantitative Reasoning, UC-Quantitative Reasoning, Upper Division May be offered at any of the following campuses: PU Fort Wayne West Lafayette |
| MA 35301 - Linear Algebra II |
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Credit Hours: 3.00. Theoretical background for methods and results that appear in MA 35100. Inner products, orthogonality, and applications including least squares.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Perform rigorous proofs using the definitions of vector space, subspace, linear combination of vectors, linear dependence and linear independence, bases and dimension. 2. Perform rigorous proofs using the definitions of linear transformation and the null space and range of a linear transformation. 3. Exhibit a clear understanding of the relationship between composition of linear transformation and matrix multiplication. 4. Understand elementary matrices and their use in describing the solution set of a system of linear equations. 5. Understand that the determinant function on n x n matrices with entries in a field F is a function that may be defined recursively, and may be uniquely defined as an alternating multilinear form which takes the identity matrix to 1. 6. Perform rigorous proofs involving eigenvalues and eigenvectors. 7. Understand and be able to apply conditions for a linear operator on a finite-dimensional vector space to be diagonalizable. 8. Preform calculations with Gram-Schmidt, least squares and related topics. 9. Students should be able to do rigorous proofs involving inner product spaces and related topics. |
| MA 36200 - Topics In Vector Calculus |
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Credit Hours: 3.00. Multivariate calculus; partial differentiation; implicit function theorems and transformations; line and surface integrals; vector fields; theorems of Gauss, Green, and Stokes. Credit granted for only one of MA 36200 and 51000.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 36300 - Differential Equations |
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Credit Hours: 3.00. First order differential equations, higher order linear differential equations, systems of first order equations, series solutions, integral transforms, introduction to partial differential equations: separation of variables, Fourier series, Sturm-Liouville equations. Typically offered Fall Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 36600 - Ordinary Differential Equations |
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Credit Hours: 4.00. An introduction to ordinary differential equations with emphasis on problem solving and applications. The one-hour computer lab will give students an opportunity for hands-on experience with both the theory and applications of the subject.
0.000 OR 4.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: GTC-Quantitative Reasoning, UC-Quantitative Reasoning, Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 37300 - Financial Mathematics |
|
Credit Hours: 3.00. A mathematical treatment of some fundamental concepts of financial mathematics and their application to real world business situations and basic risk management. Includes discussions of valuing investments, capital budgeting, valuing contingent cash flows, yield curves, spot rates, forward rates, short sales, Macaulay duration, modified duration, convexity, and immunization. Provides preparation for the SOA/CAS Actuarial Exam FM/2.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Define and recognize concepts related to the time value of money, and will be able to do calculations involving these concepts. 2. Define and recognize concepts related to annuities and cash flows, and will be able to do calculations involving these concepts. 3. Define and recognize concepts related to loans, and will be able to do calculations involving these concepts. 4. Define and recognize concepts related to bonds, and will be able to do calculations involving these concepts. 5. Define and recognize concepts related to general cash flows and portfolios, and will be able to do calculations involving these concepts. 6. Dfine and recognize concepts related to immunization, and will be able to do calculations involving these concepts. 7. Define and recognize concepts related to interest rate swaps, and will be able to do calculations involving these concepts. |
| MA 37400 - Mathematical Foundations For Machine Learning |
|
Credit Hours: 3.00. This course combines data, computation, and inferential thinking to solve challenging problems. In this class, we explore key areas of machine learning including question formulation, statistical inference, predictive modeling, and decision making. Through a strong emphasis on data-centric computing, and quantitative critical thinking, this class covers key principles and techniques of machine learning. These include algorithms for machine learning methods including regression, classification, and clustering; and statistical concepts of measurement error and prediction.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Identify a machine learning related data-science problem, formulate questions, visualize the data, and identify features, and conduct statistical inference, and derive prediction algorithms. 2. Know how to use a computer programming tool (e.g. Python or Matlab) to draw samples from important distributions. 3. Understand linear machine learning models for regression problems; know how to use a computer programming tool (e.g. Python or Matlab) to implement the linear machine learning models for regression problems. 4. Understand linear machine learning models for classification problems; know how to use a computer programming tool (e.g. Python or Matlab) to implement the linear machine learning models for classification problems. 5. Know how to build kernel methods; in particular, Gaussian process methods, and how to use a computer programming tool (e.g. Python or Matlab) to implement kermel methods. 6. Understand the concept of mixture models and the Expectational-Maximization algorithm and how to use a computer programming tool (e.g. Python or Matlab) to implement mixture models and the Expectational-Maximization algorithm. 7. Understand the sampling methods and perform computations for Markov Chain Monte Carlo. |
| MA 37500 - Introduction To Discrete Mathematics |
|
Credit Hours: 3.00. Induction, permutations, combinations, finite probability, relations, graphs, trees, graph algorithms, recurrence relations, generating functions. Problem solving in all these areas. Credit granted for only one of MA 27600 and 37500.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 38500 - Introduction To Logic |
|
Credit Hours: 3.00. Propositional calculus and predicate calculus with applications to mathematical proofs, valid arguments, switching theory, and formal languages.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 38600 - Professional Practicum IV |
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Credit Hours: 0.00. Professional Practicum. Permission of department required.
0.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: College of Science Department: Mathematics Course Attributes: Coop, Full-Time Privileges, Upper Division May be offered at any of the following campuses: PU Fort Wayne West Lafayette |
| MA 39000 - Topics In Mathematics For Undergraduates |
|
Credit Hours: 1.00 to 5.00. Supervised reading courses as well as special topics courses for undergraduates are given under this number. Permission of instructor required.
1.000 TO 5.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division, Variable Title May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 39399 - Cooperative Experience III |
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Credit Hours: 0.00. Professional experience in mathematics. Program coordinated by school with cooperation of participating employers. Students submit summary report and company evaluation. Professional Practice students only. Permission of department required.
0.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: College of Science Department: Mathematics Course Attributes: Coop, Full-Time Privileges, Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Apply knowledge to identifying and solving problems in the professional context. 2. Advance skills related to professional preparation, critical thinking, problem solving, communication and teamwork. 3. Increase understanding of the profession and practice, basic industry principles, and principles and practice of ethical responsibility in professional work. |
| MA 39499 - Extensive Cooperative Experience IV |
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Credit Hours: 0.00. Professional experience in mathematics. Program coordinated by school with cooperation of participating employers. Students submit summary report and company evaluation. Professional Practice students only. Permission of department required.
0.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: College of Science Department: Mathematics Course Attributes: Coop, Full-Time Privileges, Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Apply knowledge to identifying and solving problems in the professional context. 2. Advance skills related to professional preparation, critical thinking, problem solving, communication and teamwork. 3. Increase understanding of the profession and practice, basic industry principles, and principles and practice of ethical responsibility in professional work. |
| MA 39599 - Extensive Cooperative Experience V |
|
Credit Hours: 0.00. Professional experience in mathematics. Program coordinated by school with cooperation of participating employers. Students submit summary report and company evaluation. Professional Practice students only. Permission of department required.
0.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: College of Science Department: Mathematics Course Attributes: Coop, Full-Time Privileges, Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Apply knowledge to identifying and solving problems in the professional context. 2. Advance skills related to professional preparation, critical thinking, problem solving, communication and teamwork. 3. Increase understanding of the profession and practice, basic industry principles, and principles and practice of ethical responsibility in professional work. |
| MA 40300 - Mathematical Research |
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Credit Hours: 1.00 to 3.00. Undergraduate research in the mathematical sciences under the direction of a faculty member. May be used to fulfill an experiential learning requirement. Permission of instructor required. Typically offered Fall Spring Summer.
1.000 TO 3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Laboratory, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division, Variable Title May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 41600 - Probability |
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Credit Hours: 3.00. (STAT 41600) An introduction to mathematical probability suitable as a preparation for actuarial science, statistical theory, and mathematical modeling. General probability rules, conditional probability and Bayes theorem, discrete and continuous random variables, moments and moment generating functions, joint and conditional distributions, standard discrete and continuous distributions and their properties, law of large numbers and central limit theorem.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 41700 - Mathematical Programming |
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Credit Hours: 3.00. This course is appropriate for majors in engineering, computer science, and mathematics. Construction of linear programming models; the simplex methods and variants, degeneracy and uncertainty in linear programming, gradient methods, dynamic programming, integer programming, principles of duality; two-person zero-sum, nonzero-sum, n-person, and cooperative games. Typically offered Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 41800 - Computations Laboratory For MA 417 |
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Credit Hours: 1.00. Implementation on digital computer of those appropriate algorithms created in class to solve mathematical programming problems. Typically offered Spring.
1.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Laboratory Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 42100 - Linear Programming And Optimization Techniques |
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Credit Hours: 3.00. Solution of linear programming problems by the simplex method, duality theory, transportation problems, assignment problems, network analysis, dynamic programming.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 42101 - Introduction To Optimization And Operations Research |
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Credit Hours: 3.00. This is an introductory course in operations research (OR), a mathematical approach to problem solving and decision making. OR has many applications spreading over various fields in science, engineering, economics and public systems. This course introduces some fundamental tools of OR to formulate, analyze, and solve mathematical models representing real life problems. This course covers linear programming (LP), network analysis, dynamic programming, and decision analysis. Selected topics from other areas such as integer programming, optimal control, Markov models, and game theory may be covered.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Formulate real-world problems as appropriate mathematical programming models (for example, linear programming, network model, etc.). 2. Solve linear programming, network analysis, integer programming, Markov chains, and decision analysis problems by applying appropriate operations research techniques and algorithms. 3. Apply software for solving optimization problems. 4. Apply operations research techniques to real world contexts and interpret the results. |
| MA 42500 - Elements Of Complex Analysis |
|
Credit Hours: 3.00. Complex numbers and complex-valued functions; differentiation of complex functions; power series, uniform convergence; integration, contour integrals; elementary conformal mapping. Typically offered Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 42800 - Introduction To Fourier Analysis |
|
Credit Hours: 3.00. Topics include: Fourier series, convolutions, kernels, summation methods, Fourier transforms, and applications to the wave, heat, and Laplace equations.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Know applications of Fourier series to problems in physics and other areas. 2. Know convergence theorems and proofs for Fourier series. 3. Know the relationship between convolutions and Fourier series. 4. Know applications of Fourier transforms to problems in physics and other areas. |
| MA 43200 - Elementary Stochastic Processes |
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Credit Hours: 3.00. An introduction to some classes of stochastic processes that arise in probabilistic models of time-dependent random processes. The main stochastic processes studied will be discrete time Markov chains and Poisson processes. Other possible topics covered may include continuous time Markov chains, renewal processes, queueing networks, and martingales.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Identify a verbal description of a stochastic process, identify the process as a Markov process and compute the transition matrix for the Markov process. 2. Compute the stationary distribution of a Markov process and use this to draw conclusions on the long-term asymptotic behavior of the stochastic process using appropriate limit theorems for Markov processes. 3. Understand what conditions are necessary to be able to apply the main limit theorems for Markov chains; also, students should be able to give examples of Markov chains where these limit theorems do not hold because the assumptions of the theorems are violated. 4. Calculate hitting probabilities or expected hitting times of a Markov chain by solving a system of linear equations. 5. Know how to use mathematics software (e.g. Matlab) to perform computations for Markov chains on large state spaces. 6. Understand the thinning and superposition properties of Poisson processes and how to use these properties in computations. |
| MA 44000 - Honors Real Analysis I |
|
Credit Hours: 3.00. Real analysis in one and n-dimensional Euclidean spaces. Topics include the completeness property of real numbers, topology of Euclidean spaces, Heine-Borel theorem, convergence of sequences and series in Euclidean spaces, limit superior and limit inferior, Bolzano-Weierstrass theorem, continuity, uniform continuity, limits and uniform convergence of functions, Riemann or Riemann-Stieltjes integrals.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Honors, Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Perform rigorous proofs using the definitions of open sets, closed sets, connected sets, compact sets, interior points, boundary points, cluster points, finite sets, infinite sets, and denumerable sets in Euclidean spaces. 2. Perform rigorous proofs of convergence or divergence for sequences or series in Euclidean spaces. 3. Determine points of continuity and existence of limits using rigorous proofs for functions whose domain and range are in Euclidean spaces. 4. Perform rigorous proofs that a sequence of functions converges uniformly or does not converge uniformly on a subset of a Euclidean space. 5. Know and be able to apply the definition and related theorems on the existence of Riemann or Riemann-Stieltjes integrals. |
| MA 44100 - Real Analysis |
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Credit Hours: 3.00. The theory of functions of a real variable; continuity, theory of differentiation and Riemann integration, sequences and series of functions, uniform convergence, interchange of limit operations. Typically offered Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 44200 - Honors Real Analysis II |
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Credit Hours: 3.00. Real analysis in one and n-dimensional Euclidean spaces--continued from MA 44000. Topics include mappings of Euclidean spaces and their derivatives, multivariable chain rule, inverse function theorem and implicit function theorem, sets with content and integration in n dimensions, the integrability theorem, Jacobian and change of variables theorem, related topics.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Honors, Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Determine points at which derivatives exist and compute linear approximations for mappings of Euclidean spaces. 2. Perform rigorous applications of the multivariable chain rule, inverse function theorem and implicit function theorem in Euclidean spaces. 3. Apply the integrability theorem on the existence of Riemann integrals of functions in bounded sets in Euclidean spaces. 4. Perform rigorous applications of the change of variables theorem for integrals of functions on smooth transformations of domains in a Euclidean spaces. |
| MA 44600 - Introduction to Real Analysis |
|
Credit Hours: 3.00. An introduction to basic concepts fo real analysis; topology of the real line, sequences, series, and various forms of convergence, applications to derivatives and integrals. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond |
| MA 45000 - Algebra Honors |
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Credit Hours: 3.00. This course, which is essentially the first half of MA 55300, is recommended for students wanting a more substantial background in algebra than is afforded by MA 45300, in particular students intending to do graduate work in science or engineering. Topics include the elements of number theory and group theory; unique factorization in polynomial rings and in principal ideal domains.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Honors, Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 45300 - Elements Of Algebra I |
|
Credit Hours: 3.00. Fundamental properties of integers, polynomials, groups, rings, and fields, with emphasis on problem solving and applications. Not open to students with credit in MA 45000.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. Demonstrate knowledge of: divisibility properties of integers and polynomials, structure theory of groups and examples of groups, structure theory of rings and examples of rings, basic theory of fields. 2. Demonstrate knowledge of the proofs of facts covered in the course. |
| MA 45401 - Galois Theory Honors |
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Credit Hours: 3.00. This course will give a thorough introduction to Galois theory. Galois theory is a fundamental tool in many areas of mathematics, including number theory and algebraic geometry. This course will increase students' mathematical maturity and prepare them for graduate school. Topics include finite extension fields and their symmetries, ruler and compass constructions, complex roots of unity, solvable groups, and the solvability of polynomial equations by arithmetic and radical operations. This course is intended for third- or fourth-year students who have taken MA 45000 (Algebra Honors) or MA 45300 (Elements of Algebra I).
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Honors, Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Know the historical background of Galois theory. 2. Know the classical version which addresses questions about roots of polynomials and the modern formulation in terms of abstract algebra. 3. Know about finite extension fields and their symmetries. 4. Know how Galois theory answers ancient questions about ruler and compass constructions. 5. Know about cyclotomic fields generated by complex roots of unity. 6. Know how Galois theory answers questions about the solvability of polynomial equations by arithmetic and radical operations. |
| MA 46000 - Geometry |
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Credit Hours: 3.00. This course begins at the high-school level and then moves quickly to intermediate and advanced topics including an introduction to non-Euclidean geometry. Emphasis on proofs.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne West Lafayette Learning Outcomes: 1. Learn geometry topics included in the Indiana state standards. 2. Learn to solve a wide range of geometry problems. 3. Learn the meaning of definition, axiom, theorem, and proof, and use these words correctly. 4. Learn the proofs in book I of Euclid's elements. 5. Learn some basic ideas of non-Euclidean geometry. |
| MA 46200 - Elementary Differential Geometry |
|
Credit Hours: 3.00. The geometry of curves and surfaces based on familiar parts of calculus and linear algebra. An introduction to the study of differentiable manifolds and Riemannian geometry.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 47001 - Mathematical Modeling And Analysis |
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Credit Hours: 3.00. This is an introductory course in applied mathematics, with an emphasis on mathematical modeling, simulation, and analysis. Elementary techniques of mathematical model formulation, simulation, and validation will be taught, together with basic mathematical theories and methods for analyzing and solving systems of ordinary and partial differential equations.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Apply compartmental analysis, laws of physics and chemistry, and variation principle to construct simple models. 2. Employ dimensional analysis and the scaling method to simplify models. 3. Use phase line/plane analysis and linearization principle to analyze stability property of ODE dynamical systems. 4. Solve first order quasilinear PDEs and initial-boundary value problems of second order linear PDEs. |
| MA 47200 - Introduction To Applied Mathematics |
|
Credit Hours: 3.00. An introduction to the basic ideas and methods of applied mathematics. Topics taken from elementary partial differential equations, separation of variables and Fourier series, Fourier transforms, calculus of variations, applied linear algebra, numerical methods, modeling. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond |
| MA 47201 - Actuarial Models-Life Contingencies |
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Credit Hours: 4.00. Mathematical foundation of actuarial science, emphasizing probability models for life contingencies as the basis for analyzing life insurance and life annuities and determining premiums and reserves. This course provides the background for Course MLC of the Society of Actuaries and Course 3L of the Casualty Actuarial Society.
4.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Understand and use decrement models in conjunction with interest rate models to evaluate insurance, annuities, and investments. 2. Apply models to calculate actuarial values, gross and net premiums, and benefit and expense reserves. Among the decrement models learned will be standard mortality, models, static mortality table models, and continuous time Markov chains in both a single decrement and multiple decrement environment. |
| MA 47500 - Mathematical Tools In Applied Mathematics, Engineering And The Sciences |
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Credit Hours: 3.00. This course covers important and frequently used mathematical methods in STEM disciplines. Topics include techniques for solving, approximating and analyzing systems of algebraic and differential equations arising from real-world applications.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Employ asymptotic expansion and perturbation to construct approximate solutions. 2. Apply fixed point principle to construct iterative schemes for approximate solutions. 3. Use Fourier series and integral transforms to solve algebraic and differential equations. 4. Use inequalities for error analysis. |
| MA 47700 - Computational Mathematics I |
|
Credit Hours: 3.00. This is the first in a two-course sequence. Students will be introduced to the techniques and concepts of computational mathematics. Students will study the reliability, efficiency, and computer implementation of algorithms and numerical methods within the topics: solutions of equations and systems, numerical linear algebra and eigenvalues, interpolation, approximation, and curve fitting.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Be familiar with representations of real numbers in computers, the accumulation of round-off error through a sequence of calculations, and types of operations to be avoided in the construction of numerical algorithms. 2. Find the zeros of functions numerically. 3. Solve systems of linear equations numerically. 4. Compute eigenvalues and eigenvectors of matrices numerically. 5. Use interpolation for solving real-life problems. 6. Represent tabular data through curve fitting. 7. Learn how to use MATLAB for numerical solutions. |
| MA 47800 - Computational Mathematics II |
|
Credit Hours: 3.00. This is the second in a two-course sequence. Students will study the reliability, efficiency, and computer implementation of algorithms and numerical methods within the topics: numerical differentiation and integration, numerical optimization, and differential equations.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Compute derivatives and integrals numerically. 2. Employ numerical optimization for solving practical problems. 3. Solve differential equations and systems of differential equations numerically. 4. Acquire advanced knowledge of MATLAB coding. |
| MA 48100 - Advanced Problem-Solving Seminar |
|
Credit Hours: 3.00. Seminar intended to prepare students for the national Putnam examination in mathematics.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times Learning Outcomes: 1. Learn about various, more advanced techniques of how to approach Olympiad undergraduate type problems within areas such as number theory, combinatorics, algebra, analysis and geometry. 2. Learn various angles of approaching a proof and how to properly conceptualize it. 3. Learn how to properly write (justify) the arguments within a mathematical proof at a high rigor level imposed by the Putnam contest. |
| MA 48400 - Seminar On Teaching College Algebra And Trigonometry |
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Credit Hours: 3.00. This course is a seminar on the teaching of mathematics for our best undergraduate mathematics education students. It provides supervised teaching experience along with a chance for the students to perfect their knowledge of algebra before going on to be high school teachers. Students who take this class will also teach a section of MA 15300. Permission of instructor required.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 48700 - Professional Practicum V |
|
Credit Hours: 0.00 or 1.00. Professional Practicum. Permission of department required.
0.000 OR 1.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: College of Science Department: Mathematics Course Attributes: Coop, Full-Time Privileges, Upper Division May be offered at any of the following campuses: PU Fort Wayne West Lafayette |
| MA 49000 - Topics In Mathematics For Undergraduates |
|
Credit Hours: 1.00 to 6.00. Supervised reading courses as well as special topics courses for undergraduates are given under this number. Permission of instructor required.
1.000 TO 6.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Experiential, Individual Study, Laboratory, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division, Variable Title May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 50300 - Abstract Algebra |
|
Credit Hours: 3.00. Group theory: definitions, examples, subgroups, quotient groups, homomorphisms, and isomorphism theorems. Ring theory: definitions, examples, homomorphisms, ideals, quotient rings, fraction fields, polynomial rings, Euclidean domains, and unique factorization domains. Field theory: algebraic field extensions, straightedge and compass constructions.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 50400 - Real Analysis |
|
Credit Hours: 3.00. Completeness of the real number system, basic topological properties, compactness, sequences and series, absolute convergence of series, rearrangement of series, properties of continuous functions, the Riemann-Stieltjes integral, sequences and series of functions, uniform convergence, the Stone-Weierstrass theorem, equicontinuity, and the Arzela-Ascoli theorem.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 51000 - Vector Calculus |
|
Credit Hours: 3.00. Calculus of functions of several variables and of vector fields in orthogonal coordinate systems. Optimization problems, implicit function theorem, Green's theorem, Stokes' theorem, divergence theorems. Applications to engineering and the physical sciences. Not open to students with credit in MA 36200 or 41000.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne West Lafayette |
| MA 51100 - Linear Algebra With Applications |
|
Credit Hours: 3.00. Real and complex vector spaces; linear transformations; Gram-Schmidt process and projections; least squares; QR and LU factorization; diagonalization, real and complex spectral theorem; Schur triangular form; Jordan canonical form; quadratic forms.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Continuing Ed PU Fort Wayne West Lafayette |
| MA 51400 - Numerical Analysis |
|
Credit Hours: 3.00. (CS 51400) Iterative methods for solving nonlinear; linear difference equations, applications to solution of polynomial equations; differentiation and integration formulas; numerical solution of ordinary differential equations; roundoff error bounds.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 51800 - Advanced Discrete Mathematics |
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Credit Hours: 3.00. The course covers mathematics useful in analyzing computer algorithms. Topics include recurrence relations, evaluation of sums, integer functions, elementary number theory, binomial coefficients, generating functions, discrete probability, and asymptotic methods.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 51900 - Introduction To Probability |
|
Credit Hours: 3.00. (STAT 51900) Algebra of sets, sample spaces, combinatorial problems, independence, random variables, distribution functions, moment generating functions, special continuous and discrete distributions, distribution of a function of a random variable, limit theorems.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 52000 - Boundary Value Problems Of Differential Equations |
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Credit Hours: 3.00. Separation of variables; Fourier series; boundary value problems; Fourier transforms; Bessel functions; Legendre polynomials.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond West Lafayette |
| MA 52100 - Introduction To Optimization Problems |
|
Credit Hours: 3.00. Necessary and sufficient conditions for local extrema in programming problems and in the calculus of variations. Control problems; statement of maximum principles and applications. Discrete control problems.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne West Lafayette |
| MA 52300 - Introduction To Partial Differential Equations |
|
Credit Hours: 3.00. First order quasi-linear equations and their applications to physical and social sciences; the Cauchy-Kovalevsky theorem; characteristics, classification and canonical forms of linear equations; equations of mathematical physics; study of Laplace, wave and heat equations; methods of solution.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne West Lafayette |
| MA 52500 - Introduction To Complex Analysis |
|
Credit Hours: 3.00. Complex numbers and complex-valued functions of one complex variable; differentiation and contour integration; Cauchy's theorem; Taylor and Laurent series; residues; conformal mapping; applications. Not open to students with credit in MA 42500.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Continuing Ed PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette |
| MA 52700 - Advanced Mathematics For Engineers And Physicists I |
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Credit Hours: 3.00. MA 52700 is not a prerequisite for MA 52800; these courses can be taken independently. Topics in MA 52700 include linear algebra, systems of ordinary differential equations, Laplace transforms, Fourier series and transforms, and partial differential equations. MA 51100 is recommended.
3.000 Credit hours Syllabus Available Levels: Indiana College Network, Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Continuing Ed West Lafayette Learning Outcomes: 1. Know the theory of systems of linear equations. 2. Know the theory of eigenvalues and eigenvectors and apply it to solve systems of ordinary differential equations and to analyze qualitative features. 3. Know theoretical properties of Laplace transforms and how to use them. 4. Know the basic theory of Fourier series and transforms, and how to apply these to solve partial differential equations. |
| MA 52800 - Advanced Mathematics For Engineers And Physicists II |
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Credit Hours: 3.00. MA 52700 is not a prerequisite for MA 52800; these courses can be taken independently. Topics in MA 52800 include divergence theorem, Stokes theorem, complex variables, contour integration, calculus of residues and applications, conformal mapping, and potential theory. MA 51000 is recommended.
3.000 Credit hours Syllabus Available Levels: Indiana College Network, Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Continuing Ed West Lafayette Learning Outcomes: 1. Improve knowledge of vector calculus and multivariable integral calculus. 2. Know basic theory of functions of a complex variable, including complex integration. 3. Improve knowledge of Taylor series, and extend this to Laurent series. 4. Know applications of complex analysis, including conformal mapping and potential theory. |
| MA 53000 - Functions Of A Complex Variable I |
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Credit Hours: 3.00. Complex numbers and complex-valued functions of one complex variable; differentiation and contour integration; Cauchy's theorem; Taylor and Laurent series; residues; conformal mapping; special topics. More mathematically rigorous than MA 52500.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 53100 - Functions Of A Complex Variable II |
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Credit Hours: 3.00. Advanced topics.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 53200 - Elements Of Stochastic Processes |
|
Credit Hours: 3.00. (STAT 53200) A basic course in stochastic models, including discrete and continuous time Markov chains and Brownian motion, as well as an introduction to topics such as Gaussian processes, queues, epidemic models, branching processes, renewal processes, replacement, and reliability problems.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 53800 - Probability Theory I |
|
Credit Hours: 3.00. (STAT 53800) Mathematically rigorous, measure-theoretic introduction to probability spaces, random variables, independence, weak and strong laws of large numbers, conditional expectations, and martingales.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 53900 - Probability Theory II |
|
Credit Hours: 3.00. (STAT 53900) Convergence of probability laws; characteristic functions; convergence to the normal law; infinitely divisible and stable laws; Brownian motion and the invariance principle.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 54000 - Analysis I |
|
Credit Hours: 3.00. Metric spaces, compactness and connectedness, sequences and series, continuity and uniform continuity, differentiability, Taylor's Theorem, Riemann-Stieltjes integrals. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond |
| MA 54100 - Analysis II |
|
Credit Hours: 3.00. Sequences and series of functions, uniform convergence, equicontinuous families, the Stone-Weierstrass Theorem, Fourier series, introduction to Lebesgue measure and integration. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond |
| MA 54200 - Theory Of Distributions And Applications |
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Credit Hours: 3.00. Definition and basic properties of distributions; convolution and Fourier transforms; applications to partial differential equations; Sobolev spaces.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 54300 - Ordinary Differential Equations And Dynamical Systems |
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Credit Hours: 3.00. This course focuses on the theory of ordinary differential equations and methods of proof for developing this theory. Topics include basic results for linear systems, the local theory for nonlinear systems (existence and uniqueness, dependence on parameters, flows and linearization, stable manifold theorem) and the global theory for nonlinear systems (global existence, limit sets and periodic orbits, Poincare maps). Permission of instructor required.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Know and understand the central results and methods of proof in the theory of ordinary Differential Equations. 2. Gain deeper understanding of mathematical analysis more generally. 3. Gain facility in constructing, writing and presenting proofs. |
| MA 54400 - Real Analysis And Measure Theory |
|
Credit Hours: 3.00. Metric space topology; continuity, convergence; equicontinuity; compactness; bounded variation, Helly selection theorem; Riemann-Stieltjes integral; Lebesgue measure; abstract measure spaces; LP-spaces; Holder and Minkowski inequalities; Riesz-Fischer theorem.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 54500 - Functions Of Several Variables And Related Topics |
|
Credit Hours: 3.00. Differentiation of functions; Besicovitch covering theorem; differentiation of one measure with respect to another; Hardy-Littlewood maximal function; functions of several variables; Sobolev spaces.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 54600 - Introduction To Functional Analysis |
|
Credit Hours: 3.00. Fundamentals of functional analysis. Banach spaces, Hahn-Banach theorem. Principle of uniform boundedness. Closed graph and open mapping theorems. Applications. Hilbert spaces. Orthonormal sets. Spectral theorem for Hermitian operators and compact operators. Typically offered Fall.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 55300 - Introduction To Abstract Algebra |
|
Credit Hours: 3.00. Group theory: Sylow theorems, Jordan Hlder theorem, solvable groups. Ring theory: unique factorization in polynomial rings and principal ideal domains. Field theory: ruler and compass constructions, roots of unity, finite fields, Galois theory, solvability of equations by radicals. Typically offered Fall.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette |
| MA 55400 - Linear Algebra |
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Credit Hours: 3.00. Review of basics: vector spaces, dimension, linear maps, matrices determinants, linear equations. Bilinear forms; inner product spaces; spectral theory; eigenvalues. Modules over a principal ideal domain; finitely generated abelian groups; Jordan and rational canonical forms for a linear transformation.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette |
| MA 55600 - Introduction To The Theory Of Numbers |
|
Credit Hours: 3.00. Divisibility, congruences, quadratic residues, Diophantine equations, the sequence of primes.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette |
| MA 55700 - Abstract Algebra I |
|
Credit Hours: 3.00. Review of fundamental structures of algebra (groups, rings, fields, modules, algebras); Jordan-Holder and Sylow theorems; Galois theory; bilinear forms; modules over principal ideal domains; Artinian rings and semisimple modules. Polynomial and power series rings; Noetherian rings and modules; localization; integral dependence; rudiments of algebraic geometry and algebraic number theory; ramification theory.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 55800 - Abstract Algebra II |
|
Credit Hours: 3.00. A continuation of MA 55700.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 56000 - Fundamental Concepts Of Geometry |
|
Credit Hours: 3.00. Foundations of Euclidean geometry, including a critique of Euclid's "Elements" and a detailed study of an axiom system such as that of Hilbert. Independence of the parallel axiom and introduction to non-Euclidean geometry.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette |
| MA 56200 - Introduction To Differential Geometry And Topology |
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Credit Hours: 3.00. Smooth manifolds; tangent vectors; inverse and implicit function theorems; submanifolds; vector fields; integral curves; differential forms; the exterior derivative; DeRham cohomology groups; surfaces in E3., Gaussian curvature; two dimensional Riemannian geometry; Gauss-Bonnet and Poincare theorems on vector fields.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 57100 - Elementary Topology |
|
Credit Hours: 3.00. Fundamentals of point set topology with a brief introduction to the fundamental group and related topics, topological and metric spaces, compactness, connectedness, separation properties, local compactness, introduction to function spaces, basic notions involving deformations of continuous paths.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette |
| MA 57200 - Introduction In Algebraic Topology |
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Credit Hours: 3.00. Singular homology theory; Eilenberg-Steenrod axioms; simplicial and cell complexes; elementary homotopy theory; Lefschetz fixed point theorem.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 57500 - Graph Theory |
|
Credit Hours: 3.00. Introduction to graph theory with applications.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne West Lafayette |
| MA 57700 - Computational Mathematics I |
|
Credit Hours: 3.00. This is a graduate-level course in computational mathematics, which is the study of algorithms and methods for computing numerical answers to science and engineering problems. The purpose of this course is to introduce students to the techniques and concepts of modern numerical analysis. In this course, students study algorithms and numerical methods for a variety of basic problems, studying their reliability, efficiency, and computer implementation. This course is designed for graduate students and select advanced undergraduate students in mathematics, computer science, engineering, and sciences. Topics include floating point arithmetic, numerical solutions of equations and systems, eigenvalues for eigenvectors, polynomial and spline interpolation and approximation, and curve fitting. Each numerical method discussed in class is demonstrated through the use of MATLAB, which is user friendly and presents advantages such as: powerful matrix structure, versatile two- and three-dimensional graphing facilities, and a vast number of built-in functions.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Able to Code in MATLAB. 2. Understand the representation of real numbers on computers, the accumulation of roundoff error through a sequence of calculations, and the types of operations that should be avoided in the construction of a numerical algorithm. 3. Find the zeros (roots) of functions numerically (e.g., the bisection method, the method of false position, fixed point iteration schemes, and Newton's method). 4. Solve linear and nonlinear systems of equations numerically (e.g., Gaussian elimination and iterative techniques for linear systems, and Newton's method for nonlinear systems). 5. Calculate eigenvalues and eigenvectors. 6. Able to use interpolation and spline functions for solving real-life problems. 7. Represent tabular data through curve fitting. 8. Analyze the appropriateness and limitations of each of the above methods, including determining error bounds on the results obtained. 9. Communicate results through the project report produced at the conclusion of the semester. |
| MA 57800 - Computational Mathematics II |
|
Credit Hours: 3.00. This course in computational mathematics is the study of algorithms and methods for computing numerical answers to science and engineering problems. The purpose of this course is to introduce students to the techniques and concepts of modern numerical analysis. The students study algorithms and numerical methods for a variety of basic problems, studying their reliability, efficiency, and computer implementation. This course is designed for graduate students and select advanced undergraduate students in mathematics, computer science, engineering, and sciences. Topics include numerical optimization, numerical differentiation and integration, and computer solutions to differential equations. Each numerical method discussed in class is demonstrated through the use of MATLAB, which is user friendly and presents advantages such as: powerful matrix structure, versatile two-and three-dimensional graphing facilities, and a vast number of built-in functions.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Code in MATLAB. 2. Solve optimization problems numerically. 3. Differentiate functions numerically. 4. Integrate functions numerically. 5. Find computer solutions to differential equations. 6. Determine numerical solutions to initial-value problems associated to ordinary differential equations. 7. Solve boundary-value problems numerically. 8. Analyze the appropriateness and limitations of each of the above methods, including analyzing error bounds on the results obtained. 9. Effectively communicate results through the project report produced at the conclusion of the semester. |
| MA 58000 - History Of Mathematics |
|
Credit Hours: 3.00. The origins of mathematical ideas and their evolution over time, from early number systems and the evolution of algebra, geometry, and calculus to twentieth-century results in the foundations of mathematics. Connections between mathematics and society, including the role of applications in the development of mathematical concepts. Typically offered Summer Fall Spring.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 58100 - Introduction To Logic For Teachers |
|
Credit Hours: 3.00. Sentential and general theory of inference and nature of proof: elementary axiom systems. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne |
| MA 58300 - History Of Elementary Mathematics |
|
Credit Hours: 3.00. A survey of elementary mathematics before calculus. An effort will be made to link the history of mathematics to that of other sciences and to the social history of the relevant periods. Some acquaintance with ancient or medieval history of Europe is desirable. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond |
| MA 58400 - Algebraic Number Theory |
|
Credit Hours: 3.00. Dedekind domains, norm, discriminant, different, finiteness of class number, Dirichlet unit theorem, quadratic and cyclotomic extensions, quadratic reciprocity, decomposition and inertia groups, completions and local fields.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 58500 - Mathematical Logic I |
|
Credit Hours: 3.00. Propositional and predicate calculus; the Gdel completeness and compactness theorem, primitive recursive and recursive functions; the Gdel incompleteness theorem; Tarski's theorem; Church's theorem; recursive undecidability; special topics such as nonstandard analysis.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette |
| MA 58700 - General Set Theory |
|
Credit Hours: 3.00. Set algebra; functions and relations; ordering relations; transfinite induction; cardinal and ordinal numbers; the axiom of choice; maximal principles; the continuum hypothesis; the axiom of constructibility; applications to algebra, analysis, and topology. Typically offered Fall Spring Summer.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond Learning Outcomes: 1. Write proofs using the algebra of sets. 2. Show understanding of functions and relations. 3. Show understanding of transfinite numbers. |
| MA 59800 - Topics In Mathematics |
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Credit Hours: 1.00 to 5.00. Supervised reading courses as well as dual-level special topics courses are given under this number. Permission of instructor required.
1.000 TO 5.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Upper Division, Variable Title May be offered at any of the following campuses: West Lafayette Continuing Ed PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 61100 - Methods Of Applied Mathematics I |
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Credit Hours: 3.00. Banach and Hilbert spaces; linear operators; spectral theory of compact linear operators; applications to linear integral equations and to regular Sturm-Liouville problems for ordinary differential equations. Prerequisite: MA 51100, 54400.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 61500 - Numerical Methods For Partial Differential Equations I |
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Credit Hours: 3.00. (CS 615) Finite element method for elliptic partial differential equations; weak formulation; finite-dimensional approximations; error bounds; algorithmic issues; solving sparse linear systems; finite element method for parabolic partial differential equations; backward difference and Crank-Nicholson time-stepping; introduction to finite difference methods for elliptic, parabolic, and hyperbolic equations; stability, consistency, and convergence; discrete maximum principles. Prerequisite: MA 51400, 52300.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 62000 - Mathematical Theory Of Optimal Control |
|
Credit Hours: 3.00. Existence theorems; the maximum principle; relationship to the calculus of variations; linear systems with quadratic criteria; applications. Offered in alternate years. Prerequisite: MA 54400.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 63100 - Several Complex Variables |
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Credit Hours: 3.00. Power series, holomorphic functions, representation by integrals, extension of functions, holomorphically convex domains. Local theory of analytic sets (Weierstrass preparation theorem and consequences). Functions and sets in the projective space Pn (theorems of Weierstrass and Chow and their extensions). Prerequisite: MA 53000.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 63800 - Stochastic Processes I |
|
Credit Hours: 3.00. (STAT 638) Advanced topics in probability theory which may include stationary processes, independent increment processes, Gaussian processes; martingales, Markov processes, ergodic theory. Prerequisite: MA 53900.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 63900 - Stochastic Process II |
|
Credit Hours: 3.00. (STAT 63900) Continuation of MA 63800.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 64200 - Methods Of Linear And Nonlinear Partial Differential Equations I |
|
Credit Hours: 3.00. Second order elliptic equations including maximum principles, Harnack inequality, Schauder estimates, and Sobolev estimates. Applications of linear theory to nonlinear equations. Prerequisite: MA 52300.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 64300 - Methods Of Partial Differential Equations II |
|
Credit Hours: 3.00. Continuation of MA 642. Topics to be covered are Lp theory for solutions of elliptic equations, including Moser's estimates, Aleksandrov maximum principle, and the Calderon-Zygmund theory. Introduction to evolution problems for parabolic and hyperbolic equations, including Galerkin approximation and semigroup methods. Applications to nonlinear problems. Prerequisite: MA 64200.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 64400 - Calculus Of Variations |
|
Credit Hours: 3.00. Direct methods; necessary and sufficient conditions for lower semicontinuity of multiple integrals; existence theorems and connections with optimal control theory. Prerequisite: MA 54400.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 65000 - Commutative Algebra |
|
Credit Hours: 3.00. The study of those rings of importance in algebraic and analytic geometry and algebraic number theory. Prerequisite: MA 55800.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 66100 - Modern Differential Geometry |
|
Credit Hours: 3.00. Topics chosen by the instructor. Prerequisite: MA 54400, 55400.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 66300 - Algebraic Curves And Functions I |
|
Credit Hours: 3.00. Algebraic functions of one variable from the geometric, algebraic, or function-theoretic points of view. Riemann-Roch theorem, differentials. Prerequisite: MA 55800.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 66400 - Algebraic Curves And Functions II |
|
Credit Hours: 3.00. Continuation of MA 663. Topics chosen by the instructor. Prerequisite: MA 66300.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture, Practice Study Observation Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 66500 - Algebraic Geometry |
|
Credit Hours: 3.00. Topics of current interest will be chosen by the instructor. Prerequisite: MA 65000 or 66300.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 68400 - Class Field Theory |
|
Credit Hours: 3.00. Ideles, adeles, L-functions, Artin symbol, reciprocity, local and global class fields, Kronecker-Weber Theorem. Prerequisite: MA 58400.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Lecture Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette |
| MA 69000 - Topics In Algebra |
|
Credit Hours: 1.00 to 3.00. Topics vary. Permission of instructor required.
1.000 TO 3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Variable Title May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 69200 - Topics Applied Math |
|
Credit Hours: 1.00 to 3.00. Topics in applied math. Permission of instructor required.
1.000 TO 3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Variable Title May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 69300 - Topics In Analysis |
|
Credit Hours: 1.00 to 3.00. Topics in analysis. Permission of instructor required.
1.000 TO 3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Variable Title May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 69400 - Topics In Differential Equations |
|
Credit Hours: 1.00 to 3.00. Topics In Differential Equations. Permission of instructor required.
1.000 TO 3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Variable Title May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 69600 - Topics In Geometry |
|
Credit Hours: 1.00 to 3.00. Topics in geometry. Permission of instructor required.
1.000 TO 3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Variable Title May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 69700 - Topics In Topology |
|
Credit Hours: 1.00 to 3.00. Topics in topology. Permission of instructor required.
1.000 TO 3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Variable Title May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 69900 - Research PhD Thesis |
|
Credit Hours: 1.00 to 18.00. Research PhD Thesis. Permission of instructor required.
1.000 TO 18.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Research Offered By: College of Science Department: Mathematics May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
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