Mathematics
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Math Courses

MAT105 Concepts of Basic Mathematics (4)
Studies sets, systems of numeration, properties of whole numbers, integers, fractions, real numbers and numerical operations; foundations of number theory, geometry and probability. Limited to early childhood, elementary, middle school and special education majors. This course may be used as a core option for students in these majors.

MAT111 Mathematics for Business and Economics (4)
Studies mathematical topics applicable for students in business and economics including linear and exponential equations, matrices, mathematics of finance, and calculus focusing on optimization.

*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.

*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. 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.

*MAT201 Mathematical Inquiry I: Applications of Mathematics (2)
Explores nature of mathematical thought and relevance to today's world. Topics may include graph theory,  probability and statistics, and topology. For students with high school algebra. Core nonlab option.

*MAT202 Mathematical Inquiry II: Great Ideas of Mathematics (2)
Explores nature of mathematical thought and some of its major accomplishments. Topics may include number theory and encryption, infinite sets, fractal geometry and chaos. For students with high school algebra. Core nonlab option.

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.

MAT229 Discrete Mathematics for Computer Science (2)
Introduces sets, functions, propositional and predicate calculus, basic combinatorics and 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.

MAT241 Topics in the History of Mathematics (2)
Introduces important people and problems in history of mathematics with emphasis on developments since 1650.

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. Not offered 2008-09.)

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. Not offered 2008-09.)

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 2008-09.)

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. Not offered 2008-09.)

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 2008-09.)

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 2008-09.)

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 2008-09.)

MAT353 Real Analysis (4)
Studies continuity, convergence of sequences and series, differentiability and integrability. Introduces appropriate topological concepts. Prerequisites: MAT142, 231. (Alternate years. Not offered 2008-09.)

* Fulfills Core Curriculum requirement.