Course Descriptions

1302. College Algebra 3 hours
Prerequisite: Pass the Mathematics Placement Test or MAT 1301 at Texas
Wesleyan University
Set theory, real and complex number system, quadratic equations, quadratic formula, equations involving radicals, inequalities, graphs of quadratic and rational functions, logarithmic functions, exponential functions, theory of equations, matrices and determinants, and mathematical induction.

1303. Precalculus 3 hours
Prerequisite: MAT 1302
Elementary function theory, trigonometry, and an introduction to discrete
mathematics, including mathematical induction.

1304. Mathematics for the Liberal Arts 3 hours
Prerequisite: Pass the Mathematics Placement Test or MAT 1301 at Texas
Wesleyan University
An introduction to some of the most important ideas in mathematics that
both provide basic skills and illustrate the power and nature of mathematics. Topics include problem solving, set theory, logic, mathematical systems, number theory, theory of equations and inequalities, function theory, graphing, Euclidean and non-Euclidean geometry, and an introduction to probability and statistics.

1310. Mathematics for Business and Economic Analysis 3 hours
Prerequisite: MAT 1302
Applications of linear and quadratic business models, linear programming,
and introduction to differential and integral calculus for business applications.

1324. Calculus I (2324) 3 hours
Prerequisite: MAT 1303 or the equivalent
Distance formula, slope, equation of a straight line, equations and graphs of conic sections, translation and rotation of axes, limits, the derivative, rules
for differentiation, chain rule, higher derivatives, implicit differentiation, extrema, related rates, introduction to integration, fundamental theorem of
calculus, and area under a curve.

1325. Calculus II (2325) 3 hours
Prerequisite: MAT 1324
Volumes; one-sided limits; limits at infinity; continuity and derivatives;
derivatives and integrals of trigonometric, logarithmic, exponential, and
hyperbolic functions; parametric equations; polar coordinates and equations; and an extensive study of techniques of integration.

2331. Calculus III (3331) 3 hours
Prerequisite: MAT 1325
Solid analytic geometry, cylindrical and spherical coordinates, indeterminate forms, sequences, series, convergence tests, Taylor series, differentiation and integration of series, partial derivatives, total and exact differentials, and multiple integrals.

2351. Differential Equations (3351) 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 nonhomogeneous equations by undetermined coefficients and variation of
parameters, Laplace transformation, simultaneous differential equations,
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
Prerequisite: 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 formal logic, 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.

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.

4302. Advanced Calculus II 3 hours
Prerequisite: MAT 4301
A continuation of MAT 4301. Line integrals, point-set theory,
Balzano-Weierstrass theorem, Cauchy's convergence criteria, Heine-Borel
theorem, continuity and sequential limits, Riemann-Stieltjes integrals,
sequences of functions, uniform continuity, and power series.

4310. Functions of a Complex Variable 3 hours
Prerequisite: MAT 2331
Complex numbers, functions, limits and continuity, Cauchy-Riemann
equations, related theorems, Laurent series, residue theorem, conformal
mapping and applications.

4320. Introduction to Topology 3 hours
Prerequisite: MAT 2331
An introduction to the basic concepts of topology with emphasis on
axiomatic treatment of linearly ordered spaces and metric spaces.

4371. Numerical Analysis (CSC 4371) 3 hours
Prerequisites: CSC 1315 or 1321, MAT 2351 or 3321 are recommended
Scientific application programming specifically for mathematics or science
majors. Topics will include techniques for finding roots, interpolation,
functional approximation, numerical differentiation, numerical integration,
linear programming, and numerical solution of differential equations. The
language is FORTRAN.