| |
Mathematics |
| |
-
MAT 112 - Algebraic Operations and Functions College of Arts and Sciences
3 credit(s) Irregularly
Algebraic operations. Linear and quadratic equations, applications. Exponents and logarithms. Credit not given for MAT 112 after receiving a C or better in MAT 183 or above.
|
| |
-
MAT 117 - Foundational Mathematics via Problem Solving I College of Arts and Sciences
3 credit(s) At least 1x fall or spring
One course in three-course sequence. Number concepts and relationships (including concepts of numeration, operations, number theory). Emphasizing learning through problem solving.
|
| |
-
MAT 118 - Foundational Mathematics via Problem Solving II College of Arts and Sciences
3 credit(s) At least 1x fall or spring
One course in a three-course sequence. Rational numbers, real numbers, patterns, and functions. Emphasizing learning through problem solving.
|
| |
-
MAT 119 - Foundational Mathematics via Problem Solving III College of Arts and Sciences
3 credit(s) At least 1x fall or spring
One course in a three-course sequence. Probability, statistics, geometric and measurement concepts. Emphasizing learning through problem solving.
|
| |
-
MAT 120 - Supplemental Basic Mathematics College of Arts and Sciences
1 credit(s) Irregularly
ls as needed for further coursework. Does not satisfy any part of the quantitative skills requirement.
COREQ: MAT 121 OR MAT 122 OR MAT 183 OR MAT 194
|
| |
-
MAT 121 - Probability and Statistics for the Liberal Arts I College of Arts and Sciences
4 credit(s) At least 1x fall or spring
First in a two-course sequence. Teaches probability and statistics by focusing on data and reasoning. Topics include displaying data, numerical measures of data, elementary probability, discrete distributions, normal distributions, confidence intervals. NOTE: A student cannot receive credit for MAT 121 after completing STT 101 or any MAT course numbered above 180 with a grade of C or better.
|
| |
-
MAT 122 - Probability and Statistics for the Liberal Arts II College of Arts and Sciences
4 credit(s) At least 1x fall or spring
Second in a two-course sequence. Teaches probability and statistics focusing on data and reasoning. Topics include hypothesis testing, linear correlation, linear regression, nonparametric methods, statistical process control, solving liner equations, matrices, Markov chains. NOTE: A student cannot receive credit for MAT 122 after completing any MAT course numbered above 180 with a grade of C or better.
PREREQ: MAT 121
|
| |
-
MAT 183 - Elements of Modern Mathematics College of Arts and Sciences
4 credit(s) At least 1x fall or spring
Linear equations, matrices, and linear programming. Introduction to mathematics of finance. Discrete probability theory. For students interested in management, finance, economics, or related areas.
|
| |
-
MAT 193 - Algebra-Infused Precalculus College of Arts and Sciences
4 credit(s) Irregularly
Polynomial, rational, exponential, and logarithmic functions. Analytical trigonometry and trigonometric functions. Emphasis on algebra throughout the course. A student cannot receive credit for MAT 193 after receiving a grade of C or better in any calculus course. Credit cannot be given for both MAT 193 and MAT 194 .
|
| |
-
MAT 194 - Precalculus College of Arts and Sciences
4 credit(s) Every semester
Polynomial, rational, exponential, and logarithmic functions. Analytical trigonometry and trigonometric functions. A student cannot receive credit for MAT 194 after receiving a grade of C or better in any calculus course. Credit cannot be given for both MAT 193 and MAT 194.
|
| |
-
MAT 200 - Selected Topics College of Arts and Sciences
1-6 credit(s) Irregularly
Exploration of a topic (to be determined) not covered by the standard curriculum but of interest to faculty and students in a particular semester.
Repeatable
|
| |
-
MAT 221 - Elementary Probability and Statistics I College of Arts and Sciences
4 credit(s) Every semester
First of a two-course sequence. For students in fields that emphasize quantitative methods. Probability, design of experiments, sampling theory, introduction of computers for data management, evaluation of models, and estimation of parameters.
|
| |
-
MAT 222 - Elementary Probability and Statistics II College of Arts and Sciences
3 credit(s) Every semester
Continuation of MAT 221 . Further methods of statistical analysis emphasizing statistical reasoning and data analysis using statistical software. Basic concepts of hypothesis testing, estimation and confidence intervals, t-tests and chi-square tests, linear regression, analysis of variance.
PREREQ: MAT 221
|
| |
-
MAT 284 - Business Calculus College of Arts and Sciences
4 credit(s) At least 1x fall or spring
One-variable differential and integral calculus. Applications to business and economics. MAT 284 may not be taken for credit after successful completion of MAT 285 or MAT 295.
|
| |
-
MAT 285 - Life Sciences Calculus I College of Arts and Sciences
3 credit(s) Every semester
Functions and their graphs, derivatives and their applications, differentiation techniques, the exponential and logarithm functions, multivariable differential calculus including constrained optimization. MAT 285 may not be taken for credit after successful completion of MAT 284 or MAT 295
|
| |
-
MAT 286 - Life Sciences Calculus II College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Antidifferentiation; the definite integral and applications; first order differential equations with applications. Cannot be taken for credit after successfully completing MAT 296 .
PREREQ: MAT 285
|
| |
-
MAT 290 - Independent Study College of Arts and Sciences
1-6 credit(s) Irregularly
In-depth exploration of a problem or problems. Individual independent study upon a plan submitted by the student. Admission by consent of supervising instructor or instructors and the department.
Repeatable
|
| |
-
MAT 295 - Calculus I College of Arts and Sciences
4 credit(s) Every semester
Analytic geometry, limits, derivatives, maxima-minima, related rates, graphs, differentials, exponential and logarithmic functions, mean-value theorem, L’Hospital’s rule, integration. For science majors. MAT 295 may not be taken for credit after successful completion of MAT 286 .
|
| |
-
MAT 296 - Calculus II College of Arts and Sciences
2-4 credit(s) Every semester
Integration: the definite integral and applications; trigonometric functions, methods of integration, improper integrals, infinite series, elementary differential equations, parametric equations, polar coordinates.
PREREQ: MAT 295 WITH MINIMUM GRADE C-
|
| |
-
MAT 331 - First Course in Linear Algebra College of Arts and Sciences
3 credit(s) Every semester
Linear equations, n-dimensional euclidean space, linear independence, bases, linear transformations, matrices and determinants, eigenvalues and eigenvectors. Geometric aspects. Credit will not be given for both MAT 331 and 485.
PREREQ: MAT 286 OR MAT 296
|
| |
-
MAT 375 - Introduction to Abstract Mathematics College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Principles of symbolic logic, set theory, basic function theory, relations, and cardinality. Emphasis on developing proof-writing skills, including mathematical induction. Credit cannot be given for both MAT 375 and CIS 375.
PREREQ: MAT 295
|
| |
-
MAT 397 - Calculus III College of Arts and Sciences
4 credit(s) Every semester
Analytic geometry and vectors; functions of more than one variable, multiple integrals, partial differentiation, physical applications.
PREREQ: MAT 296 WITH MINIMUM GRADE C-
|
| |
-
MAT 412 - Introduction to Real Analysis I College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Introduction to the foundations of calculus covering topics from the following: the real number system, functions, limits, sequences, infinite series, continuity, and uniform continuity. Enrollment limited to mathematics majors.
PREREQ: (MAT 375 OR CIS 375 ) AND MAT 397
|
| |
-
MAT 414 - Introduction to Ordinary Differential Equations College of Arts and Sciences
3 credit(s) Every semester
First order differential equations. Second order linear differential equations. Power series solutions. Bessel’s equations, Laplace transforms. Systems of first order differential equations. Applications. Credit will not be given for both MAT 414 and MAT 485 .
PREREQ: MAT 397 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 421 - Applied Probability and Statistics College of Arts and Sciences
3 credit(s) Irregularly
Sample spaces, counting, random variables and their distributions, expected value, central limit theorem. Estimation and confidence intervals, hypothesis tests, analysis of variance and regression. MAT 421 does not count towards the Mathematics or Applied Mathematics major or minor. Cannot be taken for credit after successfully completing MAT 521.
PREREQ: MAT 286 OR MAT 296
|
| |
-
MAT 485 - Differential Equations and Matrix Algebra for Engineers College of Arts and Sciences
3 credit(s) Every semester
Solution of ordinary differential equations, including series methods. Vector spaces, matrix algebra, rank, linear systems, eigenvalues and eigenvectors. Credit not given for both MAT 485 and MAT 414, nor for both MAT 331 and 485. Does not count toward mathematics major.
PREREQ: MAT 397
|
| |
-
MAT 490 - Independent Study College of Arts and Sciences
1-6 credit(s) Irregularly
In-depth exploration of a problem or problems. Individual independent study upon a plan submitted by the student. Admission by consent of supervising instructor or instructors and the department.
Repeatable
|
| |
-
MAT 495 - Fundamentals of Data Science College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Double Numbered with: MAT 695
Fundamental methods for data science, such as regression, linear discriminant analysis, k-nearest neighbors, support vector machine, k-means, principal component analysis, and nonlinear dimension reduction. Performance evaluation and model selection. Additional work required of graduate students.
PREREQ: (MAT 331 AND MAT 521) OR (MAT 503 AND MAT 523)
|
| |
-
MAT 499 - Honors Capstone Project College of Arts and Sciences
1-3 credit(s) Upon sufficient interest
Completion of an Honors Capstone Project under the supervision of a faculty member.
Repeatable 2 time(s), 3 credits maximum
|
| |
-
MAT 503 - Matrix Methods for Data Science College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Matrix methods required for data analysis with an emphasis on applications and using software. Matrix norms, orthogonality, eigendecomposition, SVD, LS, QRD, LDA, PCA. Not for math majors or minors. Additional work required of graduate students.
PREREQ: MAT 397
|
| |
-
MAT 511 - Advanced Calculus College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Partial derivatives, implicit functions, integration in several variables, line and surface integrals.
PREREQ: (MAT 331 AND MAT 397 ) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 512 - Introduction to Real Analysis II College of Arts and Sciences
3 credit(s) Every semester
Real-number system, set theory and elementary topological properties of the real line, continuity and differentiability, sequences and series, uniform convergence, Riemann integration, and improper integrals.
PREREQ: MAT 412 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 513 - Introduction to Complex Analysis College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Complex number system and its arithmetic, geometric representation. Linear transformations. Analytic functions and the Cauchy-Riemann equations. Integration and Cauchy’s theorem, Taylor and Laurent series, singularities, poles, and residues. Applications.
PREREQ: MAT 412 OR MAT 511 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 517 - Partial Differential Equations and Fourier Series College of Arts and Sciences
3 credit(s) Every semester
Partial differential equations, boundary-value problems, Fourier series and orthogonal expansions, Bessel functions, and Legendre polynomials.
PREREQ: MAT 485 OR MAT 414 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 518 - Fourier Series, Transforms and Wavelets College of Arts and Sciences
3 credit(s) Irregularly
Orthogonal functions, Fourier series, Fourier transforms-continuous and discrete, Haar wavelets and multiresolution analysis, applications to signal processing. Additional work required of graduate students.
PREREQ: MAT 331 OR MAT 485 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 521 - Introduction to Probability College of Arts and Sciences
3 credit(s) Every semester
Algebra of sets. Probability in finite sample spaces. Binomial and multinomial coefficients. Random variables. Expected value and standard deviation. Density functions. Statistical applications.
PREREQ: MAT 397 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 523 - Statistical Methods for Data Science College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Statistical methods (such as hypothesis testing, parameter estimation, regression, ANOVA, sampling, experimental design) required for data science. Emphasis on applications and using software. Additional work required for graduate students.
PREREQ: MAT 397 AND (MAT 222 OR CIS 321 OR MAT 421 OR MAT 521)
|
| |
-
MAT 525 - Mathematical Statistics College of Arts and Sciences
3 credit(s) Every semester
Estimation and confidence intervals. Normal distribution and central limit theorem. Testing hypotheses, chi-square, t, and F distributions. Least squares, regression, and correlation.
PREREQ: MAT 521 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 526 - Introduction to Stochastic Processes College of Arts and Sciences
3 credit(s) Every semester
Discrete time Markov chains, Poisson process, continuous time Markov chains and other selected stochastic processes.
PREREQ: MAT 521 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 531 - Second Course in Linear Algebra College of Arts and Sciences
3 credit(s) Every semester
Abstract vector spaces and inner product spaces, linear transformations and linear operators, eigenvalues and diagonalization. Primarily for mathematics majors.
PREREQ: ((MAT 375 OR CIS 375 ) AND MAT 331 ) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 532 - Applied Linear Algebra College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Factorization of matrices, eigenvalues and eigenvectors, orthogonality. Applications of matrices to such topics as least-squares approximation, fast Fourier transform, difference and differential equations, linear programming, networks, game theory.
PREREQ: MAT 331 OR MAT 485 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 534 - Introduction to Abstract Algebra College of Arts and Sciences
3 credit(s) Every semester
Theory of groups, rings, and fields, including the integers and polynomail rings.
PREREQ: MAT 531 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 541 - Introduction to Number Theory College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Prime numbers, greatest common divisors, congruences. Euler’s function, Fermat’s theorem, primitive roots, indices, quadratic residues, Legendre and Jacobi symbols, and the quadratic reciprocity law.
PREREQ: ((MAT 375 OR CIS 375 ) AND MAT 331 ) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 545 - Introduction to Combinatorics College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Crosslisted with: CIS 545
Permutations, combinations, recurrence relations, generating functions, inclusion-exclusion and applications, introductory graph theory.
PREREQ: MAT 375 OR CIS 375 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 551 - Fundamental Concepts of Geometry College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Synthetic projective geometries. Coordinate systems for projective spaces. Algebraic representation of projective transformations; euclidean, non-euclidean, and affine geometries as real cases of projective geometry.
PREREQ: ((MAT 375 OR CIS 375 ) AND MAT 331 ) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 554 - Differential Geometry College of Arts and Sciences
3 credit(s) Irregularly
Theory of curves in three-dimensional space, including Frenet’s formula, Gaussian and mean curvature, geodesics, developable surfaces, special conformal mappings.
PREREQ: MAT 412 OR MAT 511 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 562 - Elementary Topology College of Arts and Sciences
3 credit(s) Irregularly
Metrics and metric spaces, topologies and topological spaces, separation properties, compactness, connectedness, and continuity.
PREREQ: ((MAT 375 OR CIS 275) AND MAT 412 ) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 581 - Numerical Methods with Programming College of Arts and Sciences
3 credit(s) At least 1x fall or spring
Approximation methods for solution of nonlinear equations. Interpolation problems. Numerical integration. Solution of ordinary differential equations. Error analysis and writing computer programs. Primarily for mathematics and engineering students.
PREREQ: MAT 397 OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 593 - History of Mathematics College of Arts and Sciences
3 credit(s) Irregularly
Mathematical concepts in their historical perspective. Character and contributions of the great mathematicians and relation of mathematics to other sciences.
PREREQ: (MAT 397 AND AT LEAST TWO 500-LEVEL MATH COURSES) OR GRADUATE STANDING IN MATHEMATICAL SCIENCES
|
| |
-
MAT 599 - Senior Seminar in Mathematics College of Arts and Sciences
3 credit(s) Irregularly
Topic Chosen by the instructor. Permission of department.
|
| |
Print this Page