 | 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 10800 - Mathematics As A Profession And A Discipline |
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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 13700 - Mathematics For Elementary Teachers I |
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Credit Hours: 3.00. Designed for prospective elementary school teachers. Problem solving. Numerical reasoning including self-generated and conventional algorithms. Whole and fractional number systems, elementary number theory. (Not available for credit toward graduation in the College of Science.). 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 |
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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 |
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Credit Hours: 3.00. Geometric, measurement and spatial reasoning in one, two and three dimensions as the basis for elementary school geometry. Metric and non-metric geometry, transformation geometry. (Not available for credit toward graduation in the College of Science.) Typically offered Fall Spring.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Lower Division May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. Differentiate between various polygons based on number of sides and measures of angles. 2. Find the sum of the measures of the interior angles of a polygon. 3. Draw nets for polyhedra. 4. Differentiate between various types of polyhedra including all regular polyhedra. 5. Determine number of lines of symmetry for a plane figure and orders of rotational symmetry. 6. Determine number of planes of symmetry for a solid figure as well as axes of rotational symmetry. 7. Recognize and draw shapes that tessellate the plane and solid figures that tessellate space. 8. Determine dimensions of similar planar figures. 9. Determine surface area and volume of similar solid figures. 10. Construct perpendicular bisectors and parallel lines using a compass and straightedge. 11. Recognize and draw rigid motions of shapes including translations, reflections and rotations. 12. Determine area of plane figures and surface area and volume of solid figures. 13. Use the Pythagorean Theorem to determine diagonals of solid figures. |
| MA 15300 - College Algebra |
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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: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette Anderson Columbus Kokomo Lafayette New Albany Richmond South Bend Learning Outcomes: 1. Correctly perform algebraic operations, to solve algebraic equations of degree two, to perform operations with exponents and radicals. 2. Sketch graphs of certain polynomial, exponential and logarithmic functions. 3. Solve systems of equations and inequalities. |
| MA 15555 - Quantitative Reasoning |
|
Credit Hours: 3.00. This course will cover important mathematical ideas, including proportion, weighted averages, linear models, exponential models, basic probability and statistics, and some algebra, by using concrete real-world problems. It will not be a prerequisite for any other mathematics course. CTL: Quantitative Reasoning
0.000 OR 3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Core Transfer Library, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Anderson Columbus Indianapolis Kokomo Lafayette New Albany Richmond South Bend Vincennes Learning Outcomes: 1. Learn proportion and how to apply it to unit conversions, percentage, sales tax and discounts, and inflation. 2. Learn weighted averages and how they apply to the consumer price index and other examples. 3. Learn paradoxes involving weighted averages. 4. Learn linear models and how they apply to electricity bills, income taxes, and climate change. 5. Learn exponential growth and how it applies to compound interest and other financial issues. 6. Learn basic probability theory and how it applies to insurance and games of chance. 7. Learn how algebra is related to the other things learned. |
| MA 15800 - Precalculus - Functions And Trigonometry |
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Credit Hours: 3.00. Functions, Trigonometry, and Algebra of calculus topics designed to fully prepare students for all first semester calculus courses. Functions topics include Quadratic, Higher Order Polynomials, Rational, Exponential, Logarithmic, and Trigonometric. Other focuses include graphing of functions and solving application problems. Not Available for credit toward graduation in the College of Science. Students may not receive credit for both MA 15400 and MA 15800. Students may not receive credit for both MA 15900 and MA 15800. Typically offered Fall Spring Summer.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Dept Credit, Exempt, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Anderson Columbus Indianapolis Kokomo Lafayette New Albany Richmond South Bend Learning Outcomes: 1. An understanding of the concept of a function. 2. An ability to graph and interpret the graphs of a wide variety of functions. 3. An ability to develop mathematical models and solve a variety of application problems, using various types of equations, systems of equations, and functions. 4. An understanding the concept of an inverse function and how to apply that in particular with exponential, logarithmic and trigonometric functions. 5. An understanding of graphical transformations of functions. 6. An understanding of Polar Equations and the ability to graph Polar Equations. |
| MA 16010 - Applied Calculus I |
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Credit Hours: 3.00. Topics include trigonometric and exponential functions; limits and differentiation, rules of differentiation, maxima, minima and optimization; curve sketching, integration, anti-derivatives, fundamental theorem of calculus. Properties of definite integrals and numerical methods. Applications to life, managerial and social sciences. Typically offered Fall Spring Summer.
CTL:IMA 1604 Calculus - Short I
0.000 OR 3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Core Transfer Library, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Anderson Columbus Kokomo Lafayette New Albany Richmond South Bend Learning Outcomes: 1. To create functional models and simplify difference quotients, compute limits of functions and apply limit laws. 2. To compute derivatives of elementary functions, including exponential, logarithmic and trigonometric functions, and apply rules of differentiation. 3. To sketch the graph of functions with the help of differentiation techniques, find maxima and minima of functions; optimization problems. 4. To computes integrals of some elementary functions and apply the Fundamental Theorem of Calculus. 5. Topics to be covered at a level required to perform standard applications related to life sciences, management and technology. |
| MA 16020 - Applied Calculus II |
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Credit Hours: 3.00. This course covers techniques of integration; infinite series, convergence tests; differentiation and integration of functions of several variables; maxima and minima, optimization; differential equations and initial value problems; matrices, determinants, eigenvalues and eigenvectors. Applications. Typically offered Fall Spring Summer.
CTL:IMA 1605 Calculus - Short II
0.000 OR 3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Core Transfer Library, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Anderson Columbus Indianapolis Kokomo Lafayette New Albany Richmond South Bend Learning Outcomes: 1. Use techniques of integration to find areas between curves and compute volumes of solids of revolution. 2. Analyze the convergence of infinite series and power series, Taylor series expansions. 3. Compute derivatives of functions of several variables and use them to find maxima and minima of functions. 4. Perform multiple iterated integration. 5. Use differential equations for modeling simple real life situations. 6. Solve first order linear initial value problems and separable equations. 7. Apply matrix operations to solve linear equations, find matrix inverses, compute determinants and eigenvectors. 8. Topics to be covered at a level required to perform standard applications related to life sciences, management and technology. |
| MA 16100 - Plane Analytic Geometry And Calculus I |
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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, Individual Study, Lecture, Practice Study Observation, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Exempt, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. To compute limits and to apply limit laws. 2. To apply rules of differentiation to compute derivatives of elementary functions. 3. To sketch graphs of functions with the aid of differentiation techniques. 4. To find maxima and minima of functions; optimization problems 5. To compute integrals of some elementary functions and to apply the Fundamental Theorem of Calculus to compute areas of certain planar regions |
| MA 16200 - Plane Analytic Geometry And Calculus II |
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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, Individual Study, Lecture, Recitation All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Apply techniques of integration (integration by parts, trigonometric substitution and partial fractions) to compute areas of planar regions, volumes of solids of revolution and areas of surfaces of revolution, work, moments and centers of mass of homogeneous laminas. 2. Apply tests of absolute convergence of series to find the interval of convergence of some power series. 3. Find the Taylor and Maclaurin series of some exponential, rational and trigonometric functions. 4. Use polar coordinates to make it possible to sketch the graphs of some curves. 5. Understand the definition of a Riemann sum, and should be able to apply elementary approximation methods of integration. |
| MA 16500 - Analytic Geometry And Calculus I |
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Credit Hours: 4.00. Introduction to differential and integral calculus of one variable, with applications. Conic sections. Designed for students who have had at least a one-semester calculus course in high school, with a grade of "A" or "B", but are not qualified to enter MA 16200 or 16600, or the advanced placement courses MA 27100. Demonstrated competence in college algebra and trigonometry.
CTL:IMA 1602 Calculus - Long I
0.000 OR 4.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture, Recitation Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Core Transfer Library, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Concurrent Credit PU Fort Wayne West Lafayette Learning Outcomes: 1. To compute limits and to apply limit laws. 2. To apply rules of differentiation to compute derivatives of elementary functions. 3. To sketch graphs of functions with the aid of differentiation techniques. 4. To find maxima and minima of functions; optimization problems. 5. To compute integrals of some elementary functions and to apply the Fundamental Theorem of Calculus to compute areas of certain planar regions. |
| MA 16600 - Analytic Geometry And Calculus II |
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Credit Hours: 4.00. Continuation of MA 16500. Vectors in two and three dimensions. Techniques of integration, infinite series, polar coordinates, surfaces in three dimensions. Not open to students with credit in MA 16200. 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, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne West Lafayette Learning Outcomes: 1. Apply techniques of integration (integration by parts, trigonometric substitution and partial fractions) to compute areas of planar regions, volumes of solids of revolution and areas of surfaces of revolution, work, moments and centers of mass of homogeneous laminas. 2. Apply tests of absolute convergence of series to find the interval of convergence of some power series. 3. Find the Taylor and Maclaurin series of some exponential, rational and trigonometric functions. 4. Use polar coordinates to make it possible to sketch the graphs of some curves. 5. Understand the definition of a Riemann sum, and should be able to apply elementary approximation methods of integration. |
| MA 17000 - Introduction To Actuarial Science |
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Credit Hours: 2.00. (STAT 17000) An introduction to actuarial science from the point of view of practicing actuaries from life insurance, casualty insurance and consulting; introduction to insurance and the mathematical theory of interest; application of spreadsheets to problems related to actuarial science. 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 18300 - Professional Practicum I |
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Credit Hours: 0.00. Professional Practicum. For Cooperative Education students only; must be accepted for the program by the cooperative program coordinator. Permission of department required. 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 |
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Credit Hours: 1.00 to 5.00. Supervised reading courses as well as special topics courses for undergraduates are given under this number. Permission of instructor required. Typically offered Fall Spring Summer.
0.000 TO 5.000 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: Lower Division, Variable Title May be offered at any of the following campuses: PU Fort Wayne West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times Learning Outcomes: 1. Learn about mathematical thinking and practice. |
| MA 25000 - Problem Solving In Probability |
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Credit Hours: 2.00. (STAT 25000) This course is designed to teach techniques for solving problems in probability theory which are relevant to the actuarial sciences. It is intended to help actuarial students prepare for the Society of Actuaries and Casualty Actuarial Society Exam P/1. Credit of Examination is not available for this course. 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 |
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Credit Hours: 4.00. Planes, lines, and curves in three dimensions. Differential calculus of several variables; multiple integrals. Introduction to vector calculus. Not open to students with credit in MA 27100. Typically offered Fall Spring Summer.
0.000 OR 4.000 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: Credit By Exam, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. Know the equations for lines, planes and quadric surfaces in three dimensional space, and understand how these equations relate to the geometry. 2. Understand the relationship between vector functions and parametrized motion; know how to calculate velocity, acceleration, arc length and curvature. 3. Know the meaning of partial derivatives and how to calculate them. Know the multivariable chain rule. 4. Know the meaning of the gradient, how to calculate it, and how to apply it to directional derivatives and maximum and minimum values. 5. Understand the meaning of double and triple integrals; know how to compute them and how to apply them. 6. Understand the meaning of vector fields and line integrals. Know Green's theorem and be able to apply it. 7. Understand the meaning of surface integrals and know how to calculate them. Know Stokes' theorem and be able to apply it. |
| MA 26200 - Linear Algebra And Differential Equations |
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Credit Hours: 4.00. Linear algebra, elements of differential equations. Not open to students with credit in MA 26500 or 26600. 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 Northwest- Hammond West Lafayette |
| 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 Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Credit By Exam, Dept Credit, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. Learn the basic properties of matrices. 2. Learn how to solve systems of linear equations. 3. Learn the basic properties of determinants. 4. Learn about linear independence, spanning sets and bases in the context of vector spaces. 5. Learn the theory of inner product spaces and how it applies to least-squares approximations. 6. Learn the theory of eigenvalues and eigenvectors and how it applies to systems of differential equations. |
| MA 26600 - Ordinary Differential Equations |
|
Credit Hours: 3.00. First order equations, second and n'th order linear equations, series solutions, solution by Laplace transform, systems of linear equations. It is preferable but not required to take MA 26500 either first or concurrently. Not open to students with credit in MA 26200, 27200, 36000, 36100, or 36600. 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 27101 - Honors Multivariate Calculus |
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Credit Hours: 5.00. This course is the Honors version of MA 26100, Multivariate Calculus; it will also include a review of infinite series. The course is intended for first-year students who have credit for Calculus I and II. There will be a significant emphasis on conceptual explanation, but not on formal proof. Permission of department is required. 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: Honors, Lower Division, GTC-Quantitative Reasoning, UC-Quantitative Reasoning May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Know techniques of vector algebra and be able to apply these to the geometry of space; in particular they will be able to find equations for lines and planes in space. 2. Find equations for standard surfaces in space. 3. Use vector methods to analyze motion in space, and calculate arc length and curvature. 4. Acquire a conceptual and computational knowledge of infinite series; in particular they will be able to test for convergence, and to do calculations with power series. 5. Understand the meaning of partial derivatives in various situations, and will be able to calculate with them. 6. Know the multivariable chain rule and its meaning, and will be able to apply it to calculate derivatives in various situations. 7. Know the meaning of directional derivatives and how to calculate them. 8. Find tangent planes. 9. Find and classify extreme values and saddle points and use the method of Lagrange multipliers. 10. Know the meaning of multiple integrals and how to calculate them. 11. Know the meaning of line integrals and surface integrals and how to calculate them. 12. Know Green's theorem, Stokes' theorem, and the divergence theorem and their applications. |
| MA 27900 - Modern Mathematics In Science And Society |
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Credit Hours: 3.00. The course covers topics in combinatorics and probability applied to real life situations such as the paradoxa of democracy, weighted voting, fair division, apportionment, traveling salesmen, the mathematics of networks, Fibonacci numbers, golden ratio, growth patterns in nature, mathematics of money, symmetry, fractals, censuses and surveys, random sampling, sample spaces, permutations and uniform probability spaces. 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 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: 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 |
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Credit Hours: 3.00. This is a methods course for juniors in any branch of engineering and science, designed to follow MA 26200. 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 Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Learn to solve second order linear differential equations by using power series. 2. Learn the Laplace Transform method for solving differential equations. 3. Learn the theory of systems of first order linear differential equations and methods for solving them. 4. Learn numerical methods for solving differential equations. 5. Learn about Fourier series and how to use them to solve separable partial differential equations. |
| MA 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 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: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Learn to solve second order linear differential equations by using power series. 2. Learn the theory of systems of first order linear differential equations and methods for solving them. 3. Learn qualitative theory of nonlinear differential equations. 4. Learn about Fourier series and how to use them to solve separable partial differential equations. |
| MA 34100 - Foundations Of Analysis |
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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 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 Northwest- Hammond West Lafayette |
| MA 35301 - Linear Algebra II |
|
Credit Hours: 3.00. Theoretical background for methods and results that appear in MA 35100. Inner products, orthogonality, and applications including least squares. 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: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Perform rigorous proofs using the definitions of vector space, subspace, linear combination of vectors, linear dependence and linear independence, bases and dimension. 2. Perform rigorous proofs using the definitions of linear transformation and the null space and range of a linear transformation. 3. Exhibit a clear understanding of the relationship between composition of linear transformation and matrix multiplication. 4. Understand elementary matrices and their use in describing the solution set of a system of linear equations. 5. Understand that the determinant function on n x n matrices with entries in a field F is a function that may be defined recursively, and may be uniquely defined as an alternating multilinear form which takes the identity matrix to 1. 6. Perform rigorous proofs involving eigenvalues and eigenvectors. 7. Understand and be able to apply conditions for a linear operator on a finite-dimensional vector space to be diagonalizable. 8. Preform calculations with Gram-Schmidt, least squares and related topics. 9. Students should be able to do rigorous proofs involving inner product spaces and related topics. |
| MA 36200 - Topics In Vector Calculus |
|
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 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: 3.00. A mathematical treatment of some fundamental concepts of financial mathematics and their application to real world business situations and basic risk management. Includes discussions of valuing investments, capital budgeting, valuing contingent cash flows, yield curves, spot rates, forward rates, short sales, Macaulay duration, modified duration, convexity, and immunization. Provides preparation for the SOA/CAS Actuarial Exam FM/2. 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: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Define and recognize concepts related to the time value of money, and will be able to do calculations involving these concepts. 2. Define and recognize concepts related to annuities and cash flows, and will be able to do calculations involving these concepts. 3. Define and recognize concepts related to loans, and will be able to do calculations involving these concepts. 4. Define and recognize concepts related to bonds, and will be able to do calculations involving these concepts. 5. Define and recognize concepts related to general cash flows and portfolios, and will be able to do calculations involving these concepts. 6. Dfine and recognize concepts related to immunization, and will be able to do calculations involving these concepts. 7. Define and recognize concepts related to interest rate swaps, and will be able to do calculations involving these concepts. |
| MA 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 |
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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 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 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, and applications to the wave, heat, and Laplace equations. Typically offered 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: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Know applications of Fourier series to problems in physics and other areas. 2. Know convergence theorems and proofs for Fourier series. 3. Know the relationship between convolutions and Fourier series. 4. Know applications of Fourier transforms to problems in physics and other areas. |
| MA 44000 - Honors Real Analysis I |
|
Credit Hours: 3.00. Real analysis in one and n-dimensional Euclidean spaces. Topics include the completeness property of real numbers, topology of Euclidean spaces, Heine-Borel theorem, convergence of sequences and series in Euclidean spaces, limit superior and limit inferior, Bolzano-Weierstrass theorem, continuity, uniform continuity, limits and uniform convergence of functions, Riemann or Riemann-Stieltjes integrals. Typically offered Fall.
3.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Honors, Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Perform rigorous proofs using the definitions of open sets, closed sets, connected sets, compact sets, interior points, boundary points, cluster points, finite sets, infinite sets, and denumerable sets in Euclidean spaces. 2. Perform rigorous proofs of convergence or divergence for sequences or series in Euclidean spaces. 3. Determine points of continuity and existence of limits using rigorous proofs for functions whose domain and range are in Euclidean spaces. 4. Perform rigorous proofs that a sequence of functions converges uniformly or does not converge uniformly on a subset of a Euclidean space. 5. Know and be able to apply the definition and related theorems on the existence of Riemann or Riemann-Stieltjes integrals. |
| MA 44200 - Honors Real Analysis II |
|
Credit Hours: 3.00. Real analysis in one and n-dimensional Euclidean spaces--continued from MA 44000. Topics include mappings of Euclidean spaces and their derivatives, multivariable chain rule, inverse function theorem and implicit function theorem, sets with content and integration in n dimensions, the integrability theorem, Jacobian and change of variables theorem, related topics. Typically offered 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: Honors, Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Determine points at which derivatives exist and compute linear approximations for mappings of Euclidean spaces. 2. Perform rigorous applications of the multivariable chain rule, inverse function theorem and implicit function theorem in Euclidean spaces. 3. Apply the integrability theorem on the existence of Riemann integrals of functions in bounded sets in Euclidean spaces. 4. Perform rigorous applications of the change of variables theorem for integrals of functions on smooth transformations of domains in a Euclidean spaces. |
| MA 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 Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: PU Fort Wayne Northwest- Westville Northwest- Hammond West Lafayette Learning Outcomes: 1. Demonstrate knowledge of: divisibility properties of integers and polynomials, structure theory of groups and examples of groups, structure theory of rings and examples of rings, basic theory of fields. 2. Demonstrate knowledge of the proofs of facts covered in the course. |
| MA 45401 - Galois Theory Honors |
|
Credit Hours: 3.00. This course will give a thorough introduction to Galois theory. Galois theory is a fundamental tool in many areas of mathematics, including number theory and algebraic geometry. This course will increase students' mathematical maturity and prepare them for graduate school. Topics include finite extension fields and their symmetries, ruler and compass constructions, complex roots of unity, solvable groups, and the solvability of polynomial equations by arithmetic and radical operations. This course is intended for third- or fourth-year students who have taken MA 45000 (Algebra Honors) or MA 45300 (Elements of Algebra I). Typically offered 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: Honors, Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Know the historical background of Galois theory. 2. Know the classical version which addresses questions about roots of polynomials and the modern formulation in terms of abstract algebra. 3. Know about finite extension fields and their symmetries. 4. Know how Galois theory answers ancient questions about ruler and compass constructions. 5. Know about cyclotomic fields generated by complex roots of unity. 6. Know how Galois theory answers questions about the solvability of polynomial equations by arithmetic and radical operations. |
| MA 46000 - Geometry |
|
Credit Hours: 3.00. This course begins at the high-school level and then moves quickly to intermediate and advanced topics including an introduction to non-Euclidean geometry. Emphasis on proofs. 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: Upper Division May be offered at any of the following campuses: PU Fort Wayne West Lafayette Learning Outcomes: 1. Learn geometry topics included in the Indiana state standards. 2. Learn to solve a wide range of geometry problems. 3. Learn the meaning of definition, axiom, theorem, and proof, and use these words correctly. 4. Learn the proofs in book I of Euclid's elements. 5. Learn some basic ideas of non-Euclidean geometry. |
| MA 46200 - Elementary Differential Geometry |
|
Credit Hours: 3.00. The geometry of curves and surfaces based on familiar parts of calculus and linear algebra. An introduction to the study of differentiable manifolds and Riemannian geometry. 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 47201 - Actuarial Models- Life Contingencies |
|
Credit Hours: 4.00. Mathematical foundation of actuarial science, emphasizing probability models for life contingencies as the basis for analyzing life insurance and life annuities and determining premiums and reserves. This course provides the background for Course MLC of the Society of Actuaries and Course 3L of the Casualty Actuarial Society. Typically offered Fall.
4.000 Credit hours Syllabus Available Levels: Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Learning Outcomes: 1. Understand and use decrement models in conjunction with interest rate models to evaluate insurance, annuities, and investments. 2. Apply models to calculate actuarial values, gross and net premiums, and benefit and expense reserves. Among the decrement models learned will be standard mortality, models, static mortality table models, and continuous time Markov chains in both a single decrement and multiple decrement environment. |
| MA 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, Individual Study, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| 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 Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 48700 - Professional Practicum V |
|
Credit Hours: 0.00 or 1.00. Professional Practicum. Permission of department required. Typically offered Fall Spring Summer.
0.000 OR 1.000 Credit hours Levels: Undergraduate, Graduate, Professional Schedule Types: Experiential Offered By: College of Science Department: Mathematics Course Attributes: Coop, Full-Time Privileges, Upper Division May be offered at any of the following campuses: PU Fort Wayne West Lafayette |
| MA 49000 - Topics In Mathematics For Undergraduates |
|
Credit Hours: 1.00 to 6.00. Supervised reading courses as well as special topics courses for undergraduates are given under this number. Permission of instructor required. 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 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: 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- Westville 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 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 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- Westville Northwest- Hammond West Lafayette |
| MA 52100 - Introduction To Optimization Problems |
|
Credit Hours: 3.00. Necessary and sufficient conditions for local extrema in programming problems and in the calculus of variations. Control problems; statement of maximum principles and applications. Discrete control problems. 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- Westville 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- Westville Northwest- Hammond West Lafayette |
| MA 52700 - Advanced Mathematics For Engineers And Physicists I |
|
Credit Hours: 3.00. MA 52700 is not a prerequisite for MA 52800; these courses can be taken independently. Topics in MA 52700 include linear algebra, systems of ordinary differential equations, Laplace transforms, Fourier series and transforms, and partial differential equations. MA 51100 is recommended. Typically offered Fall.
3.000 Credit hours Syllabus Available Levels: Indiana College Network, Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Continuing Ed West Lafayette Learning Outcomes: 1. Know the theory of systems of linear equations. 2. Know the theory of eigenvalues and eigenvectors and will apply it to solve systems of ordinary differential equations and to analyze qualitative features. 3. Know theorectical properties of Laplace transforms and how to use them. 4. Know the basic theory of Fouries series and transforms, and how to apply these to solve partial different equations. |
| MA 52800 - Advanced Mathematics For Engineers And Physicists II |
|
Credit Hours: 3.00. MA 52700 is not a prerequisite for MA 52800; these courses can be taken independently. Topics in MA 52800 include divergence theorem, Stokes theorem, complex variables, contour integration, calculus of residues and applications, conformal mapping, and potential theory. MA 51000 is recommended. Typically offered Spring.
3.000 Credit hours Syllabus Available Levels: Indiana College Network, Undergraduate, Graduate, Professional Schedule Types: Distance Learning, Lecture All Sections for this Course Offered By: College of Science Department: Mathematics Course Attributes: Upper Division May be offered at any of the following campuses: West Lafayette Continuing Ed West Lafayette Learning Outcomes: 1. Improve knowledge of vector calculus and multivariable integral calculus. 2. Know basic theory of functions of a complex variable, including complex integration. 3. Improve knowledge of Taylor series, and extend this to Laurent series. 4. Know applications of complex analysis, including conformal mapping and potential theory. |
| MA 53000 - Functions Of A Complex Variable I |
|
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- Westville 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 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- Westville 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- Westville Northwest- Hammond West Lafayette |
| MA 55600 - Introduction To The Theory Of Numbers |
|
Credit Hours: 3.00. Divisibility, congruences, quadratic residues, Diophantine equations, the sequence of primes. 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- Westville Northwest- Hammond West Lafayette |
| MA 55700 - Abstract Algebra I |
|
Credit Hours: 3.00. Review of fundamental structures of algebra (groups, rings, fields, modules, algebras); Jordan-Holder and Sylow theorems; Galois theory; bilinear forms; modules over principal ideal domains; Artinian rings and semisimple modules. Polynomial and power series rings; Noetherian rings and modules; localization; integral dependence; rudiments of algebraic geometry and algebraic number theory; ramification theory. 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- Westville 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- Westville 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- Westville 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 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 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- Westville Northwest- Hammond West Lafayette Repeatable for Additional Credit: Yes - May be repeated an unlimited number of times |
| MA 61100 - Methods Of Applied Mathematics I |
|
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 |
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Credit Hours: 3.00. (CS 615) Finite element method for elliptic partial differential equations; weak formulation; finite-dimensional approximations; error bounds; algorithmic issues; solving sparse linear systems; finite element method for parabolic partial differential equations; backward difference and Crank-Nicholson time-stepping; introduction to finite difference methods for elliptic, parabolic, and hyperbolic equations; stability, consistency, and convergence; discrete maximum principles. Prerequisite: MA 51400, 52300. 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 |
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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 |
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Credit Hours: 3.00. Power series, holomorphic functions, representation by integrals, extension of functions, holomorphically convex domains. Local theory of analytic sets (Weierstrass preparation theorem and consequences). Functions and sets in the projective space Pn (theorems of Weierstrass and Chow and their extensions). Prerequisite: MA 53000. 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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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