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- MAT 116 Mathematics for Life. 3 cr.
- Mathematical topics relevant to living in modern society with emphasis on the uses of mathematical ideas and mathematical thought processes. Topics include critical thinking, problem-solving, concepts from finance, statistics, logic, and geometry. Especially appropriate for students seeking the BA degree who do not plan on taking any additional mathematics courses such as statistics, or calculus.
- MAT 117 Elementary Statistics. 3 cr.
- Statistical concepts and methods for application in other disciplines. Descriptive statistics, bivariate linear models, probability, discrete and normal distributions, central limit theorem, estimation, hypothesis testing. MAT 117 does not count toward a mathematics major or minor.
- MAT 120 Precalculus. 4 cr.
- Fundamental principles of college algebra and trigonometry essential to the study of calculus. Emphasis on functions and their graphs, including polynomials, rational functions, exponential and logarithmic functions, trigonometric functions.
*Prereq: placement.* - MAT 210 Survey of Calculus. 4 cr.
- Survey of concepts and applications of differential and integral calculus for BA and Business Economics majors. MAT 210 does not count toward the BS degree, it does not count toward a mathematics major or minor, and it may not be used in place of MAT 222 as a prerequisite for other mathematics courses. Only one of MAT 210 and MAT 221 may be taken for credit.
*Prereq: placement or MAT 120 with a grade of BC or better.* - MAT 221 Calculus 1. 4 cr.
- Intensive introduction to single-variable calculus. Functions, limits and continuity, differentiation of algebraic and transcendental functions, introduction to integration and differential equations. Application topics and lab assignments.
*Prereq: placement or credit in MAT 120 with a grade of BC or better.* - MAT 222 Calculus 2. 4 cr.
- Continuation of MAT 221. Applications of integration, integration techniques, indeterminate forms and improper integrals, sequences and series, parametric equations in the plane, polar coordinates, first and second order ordinary differential equations. Application topics and lab assignments.
*Prereq: placement or MAT 221 with a grade of C or better.* - MAT 223 Calculus 3. 4 cr.
- Intensive introduction to multivariable calculus. Analytic geometry of vectors, vector-valued functions, continuity and partial differentiation for functions of several variables, multiple integration, vector fields, theorems of Green, Gauss, and Stokes. Application topics, assignments using Maple.
*Prereq: placement or MAT 222 with a grade of C or better*. - MAT 224 Ordinary Differential Equations. 4 cr.
- Ordinary differential equations and solution methods, linear systems of differential equations, selected topics. Modeling emphasis, several lab assignments.
*Prereq: MAT 222. MAT 223 is recommended.* - MAT 230 Introduction to Discrete Mathematics. 4 cr.
- An introduction to the various tools and techniques in discrete mathematics. Topics include mathematical logic, sets, relations, algorithms, combinatorics, recursion, graph theory, trees, network models, and Boolean algebras.
*Prereq: MAT 222 or permission of the instructor.* - MAT 231 Foundations of Mathematics. 3 cr.
- A transitional course to prepare students for upper- level courses in mathematics. Logic, proof techniques, set theory, functions, countable and uncountable sets, finite induction, equivalence relations, and selected topics.
*Prereq: MAT 222 or permission of the instructor.* - MAT 233 Introduction to Linear Algebra. 4 cr.
- Matrix algebra, Gauss-Jordan elimination, vector spaces, linear independence, determinants, orthogonality, linear transformations and their matrix representation, eigenvalues and eigenvectors, and applications.
*Prereq: sophomore standing and MAT 222.* - MAT 340 Survey of Geometry. 3 cr.
- Selected topics in Euclidean and non-Euclidean geometries, Hilbert's axioms and neutral geometry, hyperbolic geometry, historical perspectives, philosophy of mathematics. Emphasis on the role and independence of the parallel postulate.
*Prereq: junior standing and MAT 231.* - MAT 351 Introduction to Probability. 3 cr.
- Probability in discrete and continuous sample spaces, random variables, distribution functions, marginal and conditional distributions, expectation, independence, limit theorems, basic distributions.
*Prereq: junior standing and MAT 222. MAT 223 is recommended.* - MAT 352 Introduction to Statistics. 3 cr.
- Random samples, estimation, sampling distributions of estimators, t and Chi-Square distributions, confidence intervals, hypothesis testing, nonparametric methods, linear models.
*Prereq: MAT 351.* - MAT 361 Introduction to Operations Research. 3 cr.
- Survey of topics in linear programming and applications, network and flow models, dynamic programming, and selected topics. Emphasis on modeling.
*Prereq: MAT 222.* - MAT 371 Numerical Analysis. 3 cr.
- Numerical methods for digital computers: error analysis, solution of nonlinear equations and systems of equations, direct methods for solving linear systems, discrete curve fitting, interpolation.
*Prereq: junior standing, MAT 224, and CSC 131.* - MAT 390 Special Topics. 3 cr.
- Selected advanced topics in mathematics. Content varies. Course may be taken for credit more than once with different topics. Offered as needed.
*Prereq: consent of instructor* - MAT 421 Analysis 1. 3 cr.
- Classical real analysis: completeness of real numbers, sequences and series, metric topology of Euclidean space, continuity, uniform continuity, differentiation, and uniform convergence.
*Prereq: MAT 231 or permission of instructor.* - MAT 422 Analysis 2. 3 cr.
- Continuation of MAT 421: differentiable mappings, inverse and implicit function theorems, theory of integration, and selected topics.
*Prereq: MAT 421.* - MAT 423 Complex Analysis. 3 cr.
- Complex numbers and analytic functions, Cauchy integral theorems and formulas, Taylor series and entire functions, singularities and the Laurent expansion, residues.
*Prereq: MAT 421.* - MAT 431 Abstract Algebra 1. 3 cr.
- Group theory: symmetry, subgroups, cyclic groups, permutations, Lagrange's theorem, factor groups, homomorphisms, isomorphisms, direct products, finite abelian groups. Introduction to rings and integral domains.
*Prereq: junior standing and MAT 231.* - MAT 432 Abstract Algebra 2. 3 cr.
- Continuation of MAT 431: polynomial rings, unique factorization, divisibility in integral domains. Introduction to field theory: splitting fields, algebraic extensions, finite fields, geometric constructions. Advanced topics in groups and fields.
*Prereq: MAT 431.* - MAT 445 Topology. 3 cr.
- Topological spaces and subspaces, basis and subbasis, accumulation points, continuity and homeomorphism; metric, product, and quotient spaces; connectness, compactness, countability axioms, separation axioms, Urysohn's lemma and metrization theorem, Tietze extension theorem, Tychonoff's theorem.
*Prereq: MAT 421.* - MAT 475 Partial Differential Equations. 3 cr.
- Introduction to the classical parabolic, hyperbolic, and elliptic partial differential equations with special consideration to heat transfer, wave motion, and potential theory. Various initial/boundary conditions and applications. Transform methods, equations in several coordinate systems, and numerical approximations. Modeling will be an integral part of the course.
*Prereq: MAT 224* - MAT 199-499 Independent Study. 1-3 cr.
- By arrangement with instructor.