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Undergraduate Courses
MAT 111 Basic Algebra 1-3 IR
Algebraic operations. Linear and quadratic equations, applications. Graphing, exponents, and applied geometry. Credit not given for MAT 111 and MAT 112. Credit not given for MAT 111 after receiving a C or better in MAT 183 or above.
MAT 112 Algebraic Operations and Functions 3S
Algebraic operations. Linear and quadratic equations, applications. Exponents and logarithms. Credit not given for MAT 111 and MAT 112. 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 3Y
One course in two-course sequence. Number concepts and relationships (including concepts of numeration, operations, number theory), probability, statistics, and functions. Emphasizing learning through problem solving. For inclusive education students only.
MAT 118 Foundational Mathematics via Problem Solving II 3 Y
One course in a two-course sequence. Rational number concepts, geometric concepts,measurement concepts, algebraic concepts and structures. Emphasizing learning through problem solving. For inclusive education students only.
MAT 121 Probability and Statistics for the Liberal Arts 3 S
First in a two course sequence. Teaches probability and statistics by focusing on data and reasoning. Includes displaying data, probability models and distributions. 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 3 S
Second in a two-course sequence. Teaches probability and statistics focusing on data and reasoning. Includes displaying data, probability models, and distributions. 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 3 S
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 194 Precalculus 3 S
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.
MAT 200 Selected Topics 1-3 IR
MAT 221 Elementary Probability and Statistics I 3 S
Descriptive statistics, normal distribution, sampling theory, some estimation theory. First course in one year sequence that gives nonscience majors a working knowledge of statistics. Credit not given for both MAT 221 and MAT 321.
MAT 222 Elementary Probability and Statistics II 3 S
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. Credit will not be given for MAT 222 after completing MAT 321 with a grade of C or better. Prereq: MAT 221.
MAT 275 Introduction to Abstract Mathematics 3 Y
Basic set theory and symbolic logic. Methods of proof, including mathematical induction. Relations, partitions, partial orders, functions, and graphs. Modular arithmetic. Credit cannot be given for both MAT 275 and CIS 275. Prereq: MAT 295.
MAT 284 Business Calculus 3 S
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. Prereq: MAT 183.
MAT 285 Life Sciences Calculus I 3 S
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 3Y
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 290/490 Independent Study 1-6 IR
MAT 295 Calculus I 4 S
Analytic geometry, limits, derivatives, maxima-minima, related rates, graphs, differentials, exponential and logarithmic functions, mean-value theorem, integration. For science majors. MAT 295 may not be be taken for credit after successful completion of MAT 286. Prereq: C- or better in MAT 194 or equivalent.
MAT 296 Calculus II 2-4 S
Integration: the definite integral and applications; trigonometric functions, methods of integration, improper integrals, L'Hospital's rule, infinite series, elementary differential equations, parametric equations, polar coordinates. Preq: C- or better in MAT 295 or equivalent.
MAT 331 First Course in Linear Algebra 3 S
Linear equations, n-dimensional euclidean space, linear transformations,matrices and determinants. Geometric aspects. Credit will not be given for both MAT 331 and 485. Prereq: MAT 286 or 296.
MAT 397 Calculus III 4 S
Analytic geometry and vectors; functions of more than one variable, multiple integrals, partial differentiation, physical applications. Prereq: C- or better in MAT 296 or equivalent.
MAT 412 Foundations of Calculus 3 Y
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 275 or CIS 275 and MAT 397.
MAT 485 Differential Equations and Matrix Algebra for Engineers 3 S
Solution of ordinary differential equations, including series methods. Vector spaces, matrix algebra, rank, linear systems, elgenvalues and eligenvectors. Credit not given for both MAT 485 and MAT 514, nor for both MAT 331 and 485. Does not count toward mathematics major. Prereq: MAT 397.
MAT 490/290 Independent Study 1-6 IR
MAT 499 Honors in Mathematics 1-6 IR
MAT 511 Advanced Calculus 3 Y Partial
derivatives, implicit functions, integration in several variables, line and surface integrals. Prereq: MAT 331 and 12 credits of calculus.
MAT 512 Introduction to Real Analysis 3 Y
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 permission of instructor.
MAT 513 Introdution to Complex Analysis 3 Y
Complex number system and its arithmetic, geometric representation. Linear transformations. Analytic functions and the Cauchy-Riemann equations. Integration and Cauchy's theorem, Ttaylor and Laurent series, singularities, poles and residues. Applications. Prereq: MAT 412 or 511 or permission of instructor.
MAT 514 Introduction to Ordinary Differential Equations 3 S
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 514 and MAT 485. Prereq: 12 credits of calculus or equivalent.
MAT 517 Partial Differential Equations and Fourier Series 3 Y
Partial differential equations, boundary-value problems, Fourier series and orthogonal expansions, Bessel functions, and Legendre polynomials. Prereq: Either MAT 514 or MAT 485.
MAT 518 Topics in Applied Mathematics 3 Y
Topics may vary but may include partial differential equations, introduction to calculus of variations and Hamilton's principle, difference equations, complex analysis or integral equations. Prereq: MAT 514.
MAT 521 Introduction to Probability and Statistics 3 S
Algebra of sets. Probability infinite sample spaces. Binomial and multinomial coefficents. Random variables. Expected value and standard deviation. Density funcitions. Statistical applications. Prereq: 12 crdits of calculus
MAT 525 Mathematical Statistics 3 Y
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.
MAT 526 Probability 3 Y
Topics chosen from: Markow chains, game theory, queuing theory, information theory. Prereq: MAT 521.
MAT 531 Second Course in Linear Algebra 3 Y
Abstract vector spaces and inner product spaces, linear transformations and linear operators, eigenvalues and diagonalization. Primarily for mathematics majors. Prereq: MAT 275 or CIS 275, and MAT 331.
MAT 532 Applied Linear Algebra 3 SI
Factorization of matrices, elegenvalues 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 485.
MAT 534 Introduction to Abstract Algebra 3 Y
Theory of groups, rings, and fields, including the integers and polynomial rings. Prereq: MAT 531.
MAT 541 Introduction to Number Theory 3 IR
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 275 or CIS 275, and MAT 331 or permission of instructor.
MAT/CIS 545
Introduction to Combinatorics 3 Y
Permutations, combinations, recurrence relations, generating functions, inclusion-exclusion and applications, introductory graph theory. Prereq: MAT 275 or CIS 275.
MAT 551 Fundamental Concepts of Geometry 3 IR
Synthetic projective geometries. Coordinate systems for projective spaces. Algebraic representation of porjective transformations; euclidean, non-euclidean, and affine geometries as real cases of projective geometry. Prereq: MAT 275 or CIS 275 and MAT 331.
MAT 554 Differential Geometry 3 IR
Theory of curves in three-dimensional space, including Frenet's formula, Gaussian and mean curvature, geodesics, developable surfaces, special conformal mappings. Prereq: MAT 412 0r 511 or permission of instructor.
MAT 562 Elementary Topology 3 IR
Metrics and metric spaces, topologies and topological spaces, separation properties, compactness, connectedness, and continuity. Prereq: MAT 275 or CIS 275 and MAT 512.
MAT 581 Numerical Methods with Programming 3 Y
Approximation methods for solution of nonlinear equations. Interpolation problems. Numerica Integration. Solution of ordinary differential equations. Error analysis and writing computer programs. Primarily for mathematics and engineering students. Prereq: 12 credits of calculus and knowledge of a scientific programming language.
MAT 593 History of Mathematics 3 IR
Mathematical concepts in their historical perspective. Character and contributions of the great mathematicians and relation of mathematics to other sciences. Prereq: 12 credits of calculus and at least two 500-level mathematics courses.
MAT 599 Senior Seminar in Mathematics 3
Topic chosen by the instructor. Permission of department.
