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 |
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 02100 - Beginning Algebra |
Credit Hours: 0.00. Beginning level course in 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: Northwest- Hammond |
MA 03100 - Geometry |
Credit Hours: 0.00. Beginning level course in geometry. 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: Northwest- Hammond |
MA 04100 - Intermediate Algebra |
Credit Hours: 0.00. The pruposes of this course are to strengthen and expand the students basic algebraic skills and problem-solving capabilities and to prepare them for higher level mathematics courses. 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: Northwest- Hammond |
MA 10000 - An Introduction To Mathematical Sciences |
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- Hammond |
MA 10100 - Mathematics For Elementary Teachers I |
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. 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 May be offered at any of the following campuses: PU Fort Wayne |
MA 10200 - Mathematics For Elementary Teachers II |
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 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 10800 - Mathematics As A Profession And A Discipline |
Credit Hours: 1.00. A "walking tour" of a few topics in mathematics, conducted by a series of guest lecturers. Some talks focus on interesting areas of mathematics, such as chaos theory, fractals, or the mathematics of sending pictures over the Internet. Others focus on where people with degrees in mathematics or statistics work and what they do. This class is open to anyone with an interest in mathematics, regardless of major. Typically offered Fall.
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. Not available for credit toward graduation in the College of Science. Typically offered 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 |
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 |
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 Calumet. 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: Lower Division May be offered at any of the following campuses: 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 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 |
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 |
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.). Typically offered Fall Spring.
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. Typically offered Fall Spring.
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, 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 |
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.) Typically offered Fall Spring.
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, Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond West Lafayette |
MA 14700 - Algebra And Trigonometry For Technology |
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: Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Hammond |
MA 14800 - Algebra And Trigonometry For Technology II |
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: Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: 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 15200 - College Algebra |
Credit Hours: 3.00. This is a course in college algebra for students who do not need the technical skills required for those who are planning to continue with calculus. There will be an emphasis on applied problems and graphing techniques. 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, exponential and logarithmic functions, circle and parabola equations, and the mathematics of finance including compound interest and annuities. Students receiving and "A" or "B" in MA 15200 may continue with MA 15400. (Not available for credit toward graduation in the College of Science.) Prerequisite: demonstrated competence in intermediate algebra. Typically offered Fall Spring Summer.
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 May be offered at any of the following campuses: Northwest- Westville West Lafayette |
MA 15300 - Algebra And Trigonometry I |
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. Typically offered Fall Spring Summer.
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: West Lafayette Continuing Ed Indiana College Network PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette Anderson Columbus Indianapolis Kokomo Lafayette New Albany Richmond South Bend Learning Outcomes: 1. To correctly perform algebraic operations, to solve algebraic equations of degree two, to perform operations with exponents and radicals. 2. To sketch graphs of certain polynomial, exponential and logarithmic functions. 3. To Solve systems of equations and inequalities. |
MA 15400 - Algebra And Trigonometry II |
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.
CTL:IMA 1608 Trigonometric Functions
0.000 OR 3.000 Credit hours Syllabus Available Levels: Indiana College Network, 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, Exempt, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Continuing Ed Indiana College Network PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette Anderson Columbus Indianapolis Kokomo Lafayette New Albany Richmond South Bend 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 15800 - Precalculus - Functions And Trigonometry |
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. Typically offered Fall Spring Summer.
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, 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 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. Typically offered Fall Spring Summer.
0.000 OR 5.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, 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: Northwest- Westville 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. Typically offered Fall Spring Summer.
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: Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Westville 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 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- 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- Hammond |
MA 16500 - Analytic Geometry And Calculus I |
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 17300 or 27100, or the honors calculus course MA 18100. Demonstrated competence in college algebra and trigonometry. Typically offered Fall Spring.
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 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: Concurrent Credit Indiana College Network 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 |
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. Typically offered Fall Spring.
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 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: Indiana College Network 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 16700 - Plane Analytical Geometry & Calculus I |
Credit Hours: 5.00. Plane analytic geometry, differential calculus and an introduction to integral calculus of functions of a single variable, with applications. MA 16700 covers the same concepts and topics as MA 16100 combined with a cooperative learning environment and computer laboratory experience. Graduation credit may not be earned for more than one of MA 16100, 16700 and 22300. Typically offered Summer Fall Spring.
0.000 OR 5.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Laboratory, 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 |
MA 16800 - Mathematics For The Liberal Arts Student |
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.
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 16900 - Plane Analytical Geometry And Calculus II |
Credit Hours: 5.00. Vectors, integral calculus of functions of a single variable, sequences and series, parametric equations and calculus, conics, and polar coordinates, with applications. MA 16900 covers the same concepts and topics as MA 16200 combined with a cooperative learning environment and computer laboratory experience. Graduation credit may not be earned for more than one of MA 16200, 16900 and 22400. Typically offered Summer Fall Spring.
0.000 OR 5.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Laboratory, 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 |
MA 17000 - Introduction To Actuarial Science |
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. Typically offered Fall.
0.000 OR 2.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Laboratory, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Lower Division May be offered at any of the following campuses: West Lafayette |
MA 17300 - Calculus And Analytic Geometry II |
Credit Hours: 5.00. Calculus of transcendental functions, techniques of integration, conic sections, polar coordinates, parametric equations, infinite series. Admission restricted to those who have established credit in Calculus I. Typically offered Fall.
0.000 OR 5.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture, Recitation 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 or 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 17400 - Multivariable Calculus |
Credit Hours: 4.00. Continuation of MA 17300. Differential and integral calculus of functions of several variables. Typically offered Spring.
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: Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning 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 18100 - Honors Calculus I |
Credit Hours: 5.00. This is an honors version of second-semester calculus (MA 16200/16600/17300). Integration and applications, methods of integration, infinite sequences and series, conic sections and polar coordinates. Students must have demonstrated competence in first-semester calculus (ordinarily by exam). Typically offered Fall.
0.000 OR 5.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture, Recitation 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 |
MA 18200 - Honors Calculus II |
Credit Hours: 5.00. Continuation of MA 18100. This is an honors version of third-semester calculus (MA 22600/17400/27100). Vectors, vector-valued functions, partial derivatives, multiple integrals, line and surface integrals. Typically offered Spring.
0.000 OR 5.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture, Recitation 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 |
MA 18300 - Professional Practicum I |
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. Typically offered Fall Spring Summer.
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 |
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: 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 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. Typically offered Fall Spring Summer.
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: Lower Division, Variable Title May be offered at any of the following campuses: Indiana College Network West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
MA 20500 - Discrete Mathematics For Computer Technology |
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 Summer Fall Spring.
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: Northwest- Hammond |
MA 21300 - Finite Mathematics I |
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 Northwest- Westville 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 21400 - Linear Algebra And Linear Programming |
Credit Hours: 3.00. Matrix algebra, systems of equations, topics from discrete mathematics. 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: Northwest- Hammond |
MA 21900 - Calculus For Technology I |
Credit Hours: 4.00. MA 21900, 22200 is a two semester sequence in the techniques of calculus for students enrolled in certain technical curricula. MA 21900 develops topics from analytic geometry and introduces differentiation and integration and their applications. The offering pattern depends on the term offered. Not open students with credit in MA 16300 or MA 22300 or MA 22500. Typically offered Fall Spring Summer.
4.000 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- Hammond |
MA 22000 - 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: 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 Continuing Ed Indiana College Network West Lafayette 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 22100 - Calculus For Technology I |
Credit Hours: 3.00. MA 22100-22200 is a two-semester sequence in the technique of calculus for students enrolled in certain technical curricula. Not available for credit toward graduation in the School of Science. Prerequisite: demonstrated competence in algebra and trigonometry. Typically offered Fall Spring.
CCN: IMA
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, 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 compute limits of functions and apply limit laws. 2. To apply rules of differentiation to compute derivatives of elementary functions. 3. To sketch the graph of functions with the help 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. 6. To apply integral and differential calculus to physical problems. |
MA 22200 - Calculus For Technology II |
Credit Hours: 3.00. Continuation of MA 22100. Not available for credit toward graduation in the School of Science. Typically offered Fall Spring.
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, Core Transfer Library, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Hammond West Lafayette Anderson Columbus Indianapolis Kokomo Lafayette New Albany Richmond South Bend Learning Outcomes: 1. Apply integration techniques (integration by parts, trigonometric substitution, partial fractions) to compute areas of some planar regions, volumes of solids of revolution and areas of surfaces of revolution, work, moments and centers of mass. 2. Apply tests of absolute convergence of series to find the interval of convergence of some power series. 3. Find the Fourier expansion of some functions. 4. Use basic techniques to solve first order and second order homogeneous differential equations 5. Laplace transforms. Inverse Laplace transforms. Solutions of linear differential equations by Laplace transforms. |
MA 22300 - Introductory Analysis I |
Credit Hours: 3.00. Differential calculus with applications to management and economics. Prerequisites: Demonstrated competence in algebra and trigonometry. Typically offered Fall Spring Summer.
CTL:IMA 1604 Calculus - Short I
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, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Indiana College Network Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. To create models and simplify difference quotients. 2. To compute limits of functions and apply limit laws. 3. To compute derivatives and apply rules of differentiation. 4. To sketch the graph of functions with the help of differentiation techniques. 5. To maxima and minima of functions; optimization problems. |
MA 22400 - Introductory Analysis II |
Credit Hours: 3.00. Integral calculus; partial derivatives; differentials; introduction to differential equations. Applications to management and economics. Typically offered Fall Spring Summer.
CTL:IMA 1605 Calculus - Short II
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, Core Transfer Library, 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. Compute antiderivatives of functions and to use the fundamental theorem of calculus to compute the area of a region bounded by two curves. 2. Use the mean value theorem for integrals to compute averages of functions with real world applications. 3. Compute derivatives of functions of several variables and use them to find maxima and minima of functions of more than one variable. 4. Optimize real world problems, and approximate changes in function values. 5. Use infinite series to model and solve application problems and approximate functions by polynomials. 6. Use antiderivative to solve simple differential equations. 7. Use integration to solve probability problems. |
MA 22500 - Calculus For Business And Economics I |
Credit Hours: 3.00. Functions and Limits. Differentiation and integration of algebraic functions of one variable. Applications of differentiation and integration. Not open to students with credit in MA 16300, MA 22100 or MA 22300. 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: Northwest- Hammond |
MA 22700 - Calculus For Technology I |
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 |
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 |
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 |
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 23100 - Calculus For The Life Sciences I |
Credit Hours: 3.00. Limits, continuity, differentiation of functions including trig, log, and exponential functions, chain rule, higher order derivatives, applications including max., min., and exponential growth and decay, integration by substitution, and fundamental theorem of calculus. Credit by examination is not available. Typically offered Fall Spring.
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, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. To simplify difference quotients. 2. To compute limits of functions and apply limit laws. 3. To apply rules of differentiation to compute derivatives of elementary functions. 4. To sketch the graph of functions with the help of differentiation techniques. 5. To find maxima and minima of functions; optimization problems. 6. To compute integrals of some elementary functions and to apply the fundamental theorem of Calculus. |
MA 23200 - Calculus For The Life Sciences II |
Credit Hours: 3.00. Techniques of integration, differentiation and integration of functions of several variables, method of least squares, first order differential equations, difference equations, matrices, determinants, eigenvalues and eigenvectors. Credit by examination is not available. Typically offered Fall Spring.
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, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. To use techniques of integration to find areas between curves, and compute volumes of solids of revolution. 2. To apply matrix operations to solve linear equations, to find matrix inverses and compute determinants to compute eigenvectors and solve difference equations. 3. To apply rules of differentiation to compute derivatives of functions of several variables and find maxima and minima. 4. To apply principle of least squares to find best-fit lines to given data. 5. To perform multiple integration, and to solve differential equations. |
MA 23700 - Advanced Topics In Mathematics For Elementary School Teachers I |
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- 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 23800 - Advanced Topics In Mathematics For Elementary School Teachers II |
Credit Hours: 3.00. Topics in data analysis and probability such as nature and uses of data, designing investigations and sampling, distinguishing between types of data, appropriate representations of data, interpretations of data, basic concepts of probability and randomness, simulations. 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- Hammond Learning Outcomes: 1. Design investigations, collect data through random sampling or random assignment to treatments, and use a variety of ways to display the data and interpret data representations. 2. Draw conclusions involving uncertainty by using computer-based simulation for estimating probabilities and gathering data to make inferences and decisions. 3. Identify misuses of statistics and invalid conclusions from probability. 4. Use appropriate statistical methods and technological tools to analyze data and describe shape, spread, and center. 5. Investigate, interpret, and construct representations for conditional probability geometric probability, and for bivariate data. 6. Demonstrate an understanding of the instructional decision-making processes of guided reinvention teachers. |
MA 23900 - Advanced Topics In Mathematics For Elementary School Teachers III |
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, Lecture Offered By: Regional Campus Only Course Attributes: Lower Division May be offered at any of the following campuses: 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 |
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. MA/STAT 41600 is strongly recommended. Typically offered Fall Spring.
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 17400 or 27100. Typically offered Fall Spring Summer.
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: 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 |
MA 26200 - Linear Algebra And Differential Equations |
Credit Hours: 4.00. Linear algebra, elements of differential equations. Not open to students with credit in MA 26500 or 26600. Typically offered Fall Spring Summer.
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 Northwest- Westville West Lafayette |
MA 26300 - Multivariate And Vector Calculus |
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 |
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. 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: Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: 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. Typically offered Fall Spring Summer.
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, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Hammond West Lafayette |
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. Typically offered Fall Spring Summer.
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 27100 - Several Variable Calculus |
Credit Hours: 5.00. Solid analytic geometry, infinite series, differential and integral calculus of several variables. Admission restricted to those who have established credit for calculus I and II. Prerequisite: demonstrated competence in calculus, plane analytical geometry, Calculus I & II. Typically offered Fall.
0.000 OR 5.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture, Recitation 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 |
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 27500 - Intermediate Discrete Mathematics |
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 |
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. Typically offered Fall Spring.
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 discipline 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: 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 29000 - 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. Typically offered Fall Spring Summer.
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: Lower Division, Variable Title May be offered at any of the following campuses: Indiana College Network West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
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. Typically offered Fall 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 30300 - Differential Equations And Partial Differential Equations For Engineering And The Sciences |
Credit Hours: 3.00. This is a methods course for juniors in any branch of engineering and science, designed to follow MA 26200. Basic techniques for solving systems of linear ordinary differential equations. Series solutions for second order equations, including Bessel functions, Laplace transform, Fourier series, numerical methods, separation of variables for partial differential equations and Sturm-Liouville theory. Not open to students with credit in MA 30400. Typically offered Fall Spring Summer.
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 30303 - Internship In Mathematical Sciences |
Credit Hours: 1.00 to 3.00. Directed in-service experience with employers that may include but not limited to government agencies, private industry, and community organizations. Permission of department required. Typically offered Fall Spring Summer.
1.000 TO 3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: Regional Campus Only Course Attributes: Internship, Upper Division May be offered at any of the following campuses: Northwest- Hammond Repeatable for Additional Credit: Yes - May be repeated for a maximum of 6 credits Learning Outcomes: 1. Student will experience how mathematical skills are used on the job. 2. Student will experience working as part of a team. |
MA 30400 - Differential Equations And Analysis Of Nonlinear Systems For Engineering And The Sciences |
Credit Hours: 3.00. This is a differential equations course designed to follow MA 26500-26600. Same description as MA 30300 except that material on the qualitative behavior of solutions to nonlinear systems is substituted for material on Laplace transforms. Not open to students with credit in MA 30300. Typically offered Summer Fall 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 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. 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 30800 - Elementary Discrete Mathematics |
Credit Hours: 3.00. Intended for prospective secondary school teachers. Basic concepts of mathematics including number systems, propositional calculus, sets, functions, and mathematical induction are studied in the context of computer experiences designed according to a Piagetian-based constructivist learning theory. Students will deepen their understanding of these concepts and will be introduced to a particular method of fostering the learning process. No previous experience with computers is assumed. Typically offered Fall 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 31200 - Probability |
Credit Hours: 3.00. A calculus-based introduction to probability theory and stochastic processes. Topics include probability spaces, random variables, distributions, expectation, conditional probability, and discrete-state-space Markov chains. 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- Hammond |
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, 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. Typically offered Fall 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 34500 - Coding And Information Theory |
Credit Hours: 3.00. An introduction to topics in coding and information theory: error-detecting and error-correcting codes, variable-length codes, decoding, entropy, information, channel capacity, Shannon's theorems, basics of algebraic coding theory. 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- Hammond |
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. 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 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. Typically offered Fall Spring.
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 Northwest- Westville West Lafayette |
MA 35300 - Linear Algebra II With Applications |
Credit Hours: 3.00. Factoring matrices, orthogonal projections (with application to least squares estimation), diagonalization and Jordan canonical form (with applications to Markov chains and systems of differential equations), Hermitian matrices, convexity (with application to linear programming). Emphasis on problem solving and applications from science, engineering, economics, or business. Not open to students with credit in MA 51100. Typically offered Fall 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 36000 - Advance Calculus Differential Equations Honors |
Credit Hours: 3.00. Elementary ordinary differential equations. Special functions defined by power series and by integrals, Fourier series. An honors version of MA 361. Not open to students with credit in MA 361. Typically offered Fall Spring.
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 36200 - Topics In Vector Calculus |
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. Typically offered Fall Spring.
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 |
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 |
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. Typically offered Fall Spring.
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: 4.00. A mathematical treatment of some fundamental concepts of financial mathematics and financial economics, 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, financial derivatives, and their use in risk management. Provides preparation for the SOA/CAS Actuarial Exam FM/2. Typically offered Fall Spring.
4.000 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 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. Typically offered Fall Spring.
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. 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: Credit By Exam, Upper Division May be offered at any of the following campuses: West Lafayette |
MA 38600 - Professional Practicum IV |
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: 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. Typically offered Fall Spring Summer.
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 40100 - Problem Solving In Mathematics |
Credit Hours: 3.00. Intended primarily for prospective teachers, this course deals with techniques of problem solving and proof. Problems are taken from algebra, number theory, and geometry. Topics relevant to the school curriculum are emphasized. The use of microcomputers and calculators in problem solving is discussed. 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: Northwest- Westville |
MA 40300 - Mathematical Research |
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- Hammond Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
MA 41600 - Probability |
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. Typically offered Fall 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 41700 - Mathematical Programming |
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 |
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 |
Credit Hours: 3.00. Solution of linear programming problems by the simplex method, duality theory, transportation problems, assignment problems, network analysis, dynamic programming. Typically offered Fall 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 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, applications to the wave, heat, and Laplace equations. Prerequisites: Vector calculus and linear algebra. Typically offered Fall 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 44000 - Real Analysis Honors |
Credit Hours: 3.00. Basic real analysis, limits, continuity, differentiation, and integration. Typically offered Fall.
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 44100 - Real Analysis |
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, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne |
MA 44200 - Multivariate Analysis I Honors |
Credit Hours: 3.00. Topics covered may include a unified modern treatment of functions of several variables. Topics covered include the topology of Euclidean spaces, mappings of Euclidean spaces, exterior algebra, Lebesgue integration, and integration on manifolds. 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: Honors, Upper Division May be offered at any of the following campuses: West Lafayette |
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, Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Hammond |
MA 45000 - Algebra Honors |
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. Typically offered Fall.
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. Typically offered Fall Spring.
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 45400 - Galois Theory |
Credit Hours: 3.00. An introduction to Galois theory, covering both its origins in the theory of roots of polynomial equations and its modern formulation in terms of abstract algebra. 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. 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 46000 - Geometry |
Credit Hours: 3.00. This is a course in Euclidean geometry. It begins at the high-school level and then moves quickly to intermediate and advanced topics. Emphasis on proofs. Typically offered Fall 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: PU Fort Wayne West Lafayette |
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. Typically offered Fall Spring Summer.
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 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- Hammond |
MA 47400 - Methods Of Random Modeling |
Credit Hours: 3.00. (STAT 47400) Poisson and compound Poisson processes, plus topics in discrete and continuous time Markov chains, Brownian motion (including the Black-Scholes formula) and simulation. 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 48000 - The Practicum In Applied Mathematics |
Credit Hours: 3.00. The practicum course consists of a small team (a faculty advisor and 1-4 students) working on a real problem obtained in conjunction with a local business or industry. Not more than two terms of MA 480 and/or CS 480 may be taken for credit. Typically offered Fall Spring Summer.
3.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: Northwest- Hammond Repeatable for Additional Credit: Yes - May be repeated up to 1 times |
MA 48100 - Advanced Problem-Solving Seminar |
Credit Hours: 1.00. Seminar intended to prepare students for the national Putnam examination in mathematics. Typically offered Fall.
1.000 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 48400 - Seminar On Teaching College Algebra And Trigonometry |
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. Typically offered Fall.
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 48700 - Professional Practicum V |
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: 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. Typically offered Fall Spring Summer.
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. 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 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. 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 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. Typically offered Fall Spring Summer.
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 Northwest- Hammond 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. Typically offered Summer.
3.000 Credit hours Levels: 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 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. Typically offered Fall Spring.
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 51500 - Mathematics Of Finance |
Credit Hours: 3.00. An introduction to the mathematical tools and techniques of modern finance theory, in the context of Black-Scholes option pricing. Brownian motion and its stochastic calculus, Ito's formula, and Feynman-Kac formula. Pricing and hedging of claims on Black-Scholes assets. Incomplete markets. Path-dependent options. Stochastic portfolio optimization. Typically offered Spring.
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 51600 - Advanced Probability And Options With Numerical Methods |
Credit Hours: 3.00. Stochastic interest rate models. American options from the probabilistic and PDE points of view. Numerical methods for European and American options, including binomial, trinomial, and Monte-Carlo methods. 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 51800 - Advanced Discrete Mathematics |
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. Typically offered Spring.
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. Typically offered Fall Spring.
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 52000 - Boundary Value Problems Of Differential Equations |
Credit Hours: 3.00. Separation of variables; Fourier series; boundary value problems; Fourier transforms; Bessel functions; Legendre polynomials. Typically offered Fall Spring Summer.
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- 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. 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: PU Fort Wayne Northwest- Hammond 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. Typically offered Fall Spring Summer.
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 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. Typically offered Fall Spring Summer.
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 Continuing Ed PU Fort Wayne Northwest- Hammond West Lafayette |
MA 52700 - Advanced Mathematics For Engineers And Physicists I |
Credit Hours: 3.00. Courses MA 52700 and 52800 constitute a two-semester sequence covering a broad range of subjects useful in early graduate engineering courses. 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. Typically offered Fall.
3.000 Credit hours 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 Indiana College Network West Lafayette |
MA 52800 - Advanced Mathematics For Engineers And Physicists II |
Credit Hours: 3.00. MA 52700 and 52800 constitute a two-semester sequence covering a broad range of subjects useful in early graduate engineering courses. 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. Typically offered Spring.
3.000 Credit hours 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 Indiana College Network West Lafayette |
MA 53000 - Functions Of A Complex Variable I |
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. Typically offered Fall Spring.
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 |
Credit Hours: 3.00. Advanced topics. Typically offered Fall Spring Summer.
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. Typically offered Spring.
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- Hammond 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. Typically offered Spring.
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. 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 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: 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- 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: Lecture Offered By: Regional Campus Only Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne Northwest- Hammond |
MA 54200 - Theory Of Distributions And Applications |
Credit Hours: 3.00. Definition and basic properties of distributions; convolution and Fourier transforms; applications to partial differential equations; Sobolev spaces. 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 54300 - Ordinary Differential Equations And Dynamical Systems |
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. Typically offered Spring.
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. Typically offered Fall Spring.
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. Typically offered Spring.
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: 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- Hammond West Lafayette |
MA 55400 - Linear Algebra |
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. Typically offered Fall Spring.
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 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. Typically offered Fall Spring Summer.
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 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. 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 55800 - Abstract Algebra II |
Credit Hours: 3.00. A continuation of MA 55700. Typically offered Spring.
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. Typically offered Fall Spring Summer.
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 Northwest- Hammond West Lafayette |
MA 56200 - Introduction To Differential Geometry And Topology |
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. 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: Northwest- Hammond 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. 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: PU Fort Wayne Northwest- Hammond West Lafayette |
MA 57200 - Introduction In Algebraic Topology |
Credit Hours: 3.00. Singular homology theory; Eilenberg-Steenrod asioms; simplicial and cell complexes; elementary homotopy theory; Lefschetz fixed point theorem. Typically offered Spring.
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. Typically offered Summer Fall Spring.
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 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: 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 Northwest- Hammond |
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- 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. Typically offered Fall Spring.
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. 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 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: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: 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 |
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. Typically offered Fall Spring Summer.
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- Hammond West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
MA 61100 - Methods Of Applied Mathematics I |
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. Typically offered Spring.
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 |
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. Typically offered Spring.
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. Typically offered Spring.
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 |
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. Typically offered Fall Spring Summer.
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. Typically offered Spring.
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. Typically offered Fall.
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. Typically offered Fall Spring Summer.
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. Typically offered Spring.
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. Typically offered Fall Spring Summer.
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. Typically offered Fall Spring Summer.
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. Typically offered Fall Spring Summer.
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. Typically offered Fall Spring Summer.
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. Typically offered Fall Spring Summer.
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. Typically offered Fall Spring Summer.
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. Typically offered Fall Spring.
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. Typically offered Fall Spring Summer.
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. Typically offered Fall Spring Summer.
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. Typically offered Fall Spring Summer.
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 Differntial Equations. Permission of instructor required. Typically offered Fall Spring Summer.
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. Typically offered Fall Spring Summer.
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. Typically offered Fall Spring Summer.
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. Typically offered Fall Spring Summer.
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 |