Page 328 - Texas Wesleyan Univ Catalog

326 Texas Wesleyan University
2351. Differential Equations 3 hours
Prerequisite: MAT 1325
Techniques of solving differential equations and applications. Solutions of first order differential equations, solutions of nth order linear differential equations with constant coefficients, differential operators, solution of non-homogeneous equations by undetermined coefficients and variation of parameters, Laplace transformation, simultaneous differential equa- tions, and power series.
3311. Introduction to Probability and Statistics 3 hours
Prerequisite: MAT 1302 or higher-level mathematics with MAT 1302 prerequisite
Permutations, combinations, sample space, events, conditional probability, random drawing, random numbers, random variables, and joint, continuous, binomial, and normal distributions.
3321. Linear Algebra 3 hours
Prerequisite: MAT 1325
Matrices, systems of linear equations, non-homogeneous systems, vector spaces and subspaces, dimension, linear transformations, invertible linear operators, diagonalizable operators, and polynomial theory.
3336. Modern Algebra 3 hours
Prerequisite: MAT 3321
Elementary theory of groups, rings, integral domains, isomorphisms, and homomorphisms.
3341. Geometry for Classroom Teachers 3 hours
Prerequisites: MAT 1302 and successful completion of EDU 2300
Deductive and inductive reasoning, undefined terms, postulates or axioms, theorems, congruent triangles, transformations, quadrilaterals, geometric solids, and topics from non-Euclidean geometries.
3381. Discrete Mathematics 3 hours
Prerequisite: MAT 1324
The study of theory and applications of discrete mathematical structures as applied to computer algorithm design. Topics will include formallogic, sets and combinatorics, relations and functions, graphs, Boolean algebra, and automata.
3391. Mathematical Statistics 3 hours
Prerequisite: MAT 1325
Probability, random variables, frequency distributions, estimation, and tests of hypotheses from a theoretical standpoint.
4190. Capstone in Teaching Mathematics in Secondary 1 hour
Prerequisite: MAT 4380 or concurrent enrollment
Provides a review for mathematical content competencies needed for TExES mastery. Student must achieve mastery of material to satisfactorily complete this course. This course is a prerequisite for student teaching.
4301. Advanced Calculus I 3 hours
Prerequisite: MAT 2331
An axiomatic approach to limits, derivatives, extrema, mean value theorem for integrals, integral of a derivative, continuous functions, intermediate value theorem, generalized mean value theorem for derivatives and integrals, and L'hopital's rule.