***MAT134 Survey of Calculus (4)**

Introduces differentiation and integration of algebraic and transcendental functions in unified manner. Emphasizes conceptual understanding and problem solving rather than theory. For students with high school algebra and working knowledge of functions. Core nonlab option for students entering before fall 2009. Fulfills core Natural World theme.

***MAT141 Calculus I (4)**

Introduces theory of limits, continuity, differentiation and integration. Methods for differentiating algebraic and transcendental functions; some applications of derivatives. Core nonlab option for students entering before fall 2009. Fulfills core Natural World Theme. *Prerequisite*: strong precalculus background.

**MAT142 Calculus II (4)**

Methods and applications of integration. Topics in infinite sequences and series. *Prerequisite*: MAT141 or approval of instructor.

***MAT200 Mathematical Inquiry (4)**

Explores nature of mathematical thought and relevance to today’s world. Topics may include graph theory, probability, geometry, number theory and encryption, infinite sets, fractal geometry and chaos. For students with high school algebra. Fulfills core Natural World theme.

**MAT205 Concepts of Mathematics (4)**

Study of sets, numeration and nondecimal numerals, properties of arithmetic operations and their algorithms, number and divisibility relationships, fractions, decimals, ratio and proportion, percent, and signed numbers. Understanding and communicating underlying theory emphasized.

**MAT206 Concepts of Mathematics (4)**

Studies of topics in geometry, measurement, transformations, probability, counting techniques, statistics, functions, and basic algebra. Understanding and communicating underlying theory emphasized. *Prerequisite*: MAT205.

**MAT214/PHY214 Mathematical Methods in Physics I (2)**

See PHY214 course description.

**MAT220 Biostatistics (4)**

Statistical data analysis with applications in biology, medicine and health/fitness. Descriptive statistics, probability, tests of means and proportion, regression, analysis of variance and nonparametric statistics. Discussion of experimental design and data collection.

**MAT223 Calculus III (2)**

Introduction to functions of several variables, partial derivatives, vectors, applications of partial derivatives, including optimization of functions of several variables, and multiple integrals. *Prerequisite*: prior or concurrent registration in MAT142, or approval of instructor.

**MAT225 Differential Equations (4)**

Differential equations, first order equations, theory of higher order linear differential equations, Laplace transforms, solutions of systems of differential equations using operator and matrix methods. Some analysis of nonlinear problems. *Prerequisite*: MAT142.

**MAT230 Discrete Mathematics (4)**

Introduces notions of proof, induction, sets, relations and functions, basic combinatorial analysis, graphs, trees, and basic probability.

MAT231 Transition to Higher Mathematics (2)

Introduction to topics and techniques used in higher mathematics, including proof techniques, basic set theory, properties of functions, relations and equivalence relations.

**MAT232 Linear Algebra (4)**

Introduces matrix methods; algebra of matrices, determinants, finding solutions of systems of linear equations and eigenvalue problems; vector spaces and linear transformations; classification of matrices. *Prerequisite*: strong precalculus background.

**MAT271, 371 Selected Topics (2 or 4)**

Topic not regularly taught but of interest to majors. May enroll more than once if topic changes. Prerequisites set by instructor.

**MAT313/PHY313 Mathematical Methods in Physics II (4)**

See PHY313 course description.

**MAT318 Probability (4)**

Calculus-based probability and its role in statistics. Descriptive statistics, discrete and continuous random variables, sampling distribution theory, estimation of mean and variance.* Prerequisite*: MAT223. (Alternate years. Offered fall of odd-even academic years.)

**MAT319 Statistics (4)**

Theory of statistics with some exposure to practice. Estimation, hypothesis testing, linear regression, multivariate distributions, nonparametric methods, Bayesian estimation. *Prerequisite*: MAT318. (Alternate years. Offered spring of most odd-even academic years.)

MAT325 Operations Research (4)

Mathematical modeling and optimization with applications to business and public services; linear and nonlinear programming, network analysis, and dynamic programming. Extensive use of computer software. *Prerequisites*: MAT142, 232. (Alternate years. Offered in even-odd academic years.)

MAT332 Geometry (4)

Axiomatic study of foundations of Euclidean and non-Euclidean geometries; highlights historical development and philosophical implications. *Prerequisite*: MAT231 or permission of instructor. (Alternate years. Offered fall of odd-even academic years.)

**MAT335 Algebraic Structures (4)**

Group theory, symmetry and permutation groups, mappings, factor groups, rings and field extensions. *Prerequisite*: MAT231 or permission of instructor. (Alternate years. Offered fall of even-odd academic years.)

**MAT338 Number Theory (4)**

Main topics in theory of whole numbers with relations to other areas of mathematics; prime factorization, congruences as groups, RSA encryption, quadratic residues and/or prime counting formulas. *Prerequisite*: MAT231 or permission of instructor. (Alternate years. Offered spring of even-odd academic years.)

**MAT342/CPS342 Numerical Analysis (4)**

Introduces numerical methods for the solution of single variable equations, linear systems and differential equations. Covers polynomial interpolation, cubic splines and numerical differentiation and integration. (Alternate years. Offered in even-odd academic years.)

**MAT353 Real Analysis (4)**

Studies continuity, convergence of sequences and series, differentiability and integrability. Introduces appropriate topological concepts. *Prerequisites*: MAT142, 231. (Alternate years. Offered spring of odd-even academic years.)

**MAT391 Junior Seminar (0)**

Explores professional opportunities and how to prepare for them. Meets seven times.

**MAT491 Senior Seminar (2)**

Explores history of mathematics from ancient Greece through present, including topics in foundations and philosophy of mathematics and related theological issues.

* Fulfills Core Curriculum requirement.