2012-2013 Catalog

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267

2012-2013

Mathematics

MAT 205. Functions and Trigonometry 3 credits (formerly MAT 205, Elementary Functions – 2010 WU Catalog) A study of elementary functions, their graphs and applications, including polynomial, algebraic, rational, exponential, and trigonometric functions. Prerequisite: MAT 108 (or equivalent). MAT 211. Calculus I 4 credits Limits and continuity, derivatives and integrals of algebraic, exponential, logarithmic, and trigonometric functions; relevant analytic geometry and applications. Prerequisite: MAT 205 (or equivalent). MAT 212. Calculus II 4 credits A continuation of MAT 211. Techniques of integration are stressed. Prerequisite: MAT 211. MAT 213. Calculus III 3 credits Limits and continuity; infinite series; indeterminate forms; geometry, derivatives, and integration associated with functions of several variables. Prerequisite: MAT 212. Spring MAT 215. Applied Statistics 3 credits (formerly MAT 215, Elementary Statistics – 2010 WU catalog) Descriptive statistics, introduction to inferential statistics, applications. Prerequisite: MAT 106. MAT 216. Statics for Engineers 3 credits (formerly MAT 216, Statics – 2010 WU Catalog) Principles of mechanics, force systems, static equilibrium, structures, analysis of frames and trusses, distributed forces, friction, centroids, and moments of inertia. This course is required of all 3-2 engineering (mathematics major) program participants. Prerequisite: Permission of the instructor. (Fall 2013 and alternate years) MAT 217. Applied Discrete Mathematics 3 credits Set theory, prepositional logic, Boolean algebra, recurrence relations, combinatorics, matrix algebra, analysis of algorithms, graphs and trees. Prerequisite: MAT 205. Fall MAT 218. Applied Linear Algebra 3 credits Linear equations and matrices, vector spaces, linear mappings, determinants, quadratic forms. Spring MAT 308. Geometry 3 credits Projective, Euclidean and non-Euclidean geometry, and emphasis on the analytic approach. Prerequisite: MAT 217. (Spring 2014 and alternate years) MAT 315. Introduction to Mathematical Statistics 3 credits A study of discrete and continuous sample spaces, probability laws, conditional probability, independence, density and distribution functions, mathematical expectation, joint distributions, and the central limit theorem. Prerequisite: MAT 215. Co-requisite: MAT-213. Spring MAT 316. Vector Calculus 3 credits A study of the calculus of vector-valued functions including divergence and curl, line integrals, Green’s Theorem, Stokes’ Theorem and surface integration. Selected applications include statics of particles, equilibrium of rigid bodies and analysis of structures. Co-requisite: MAT 218. Prerequisite: MAT 212. (Fall 2013 and alternate years) MAT 317. Operations Research 3 credits A study of linear programming, duality theory and sensitivity analysis, network analysis, dynamic programming, decision theory, game theory, and queuing theory. Prerequisites: MAT 215 and MAT 218. (Fall 2012 and alternate years) MAT 365. Internship (cross-listed as CSC 365) 1-3 credits On-the-job experience either on or off-campus. Specific internship duties are


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