Students requiring a stronger foundation in mathematics may be placed in academic support course MAT 100.
MAT 101 Elementary Functions
3 Semester Hours
Functional notation and manipulations; graphs and properties of algebraic, exponential, and logarithmic functions; elementary applications of these functions; inequalities; and absolute value. This course serves as preparation for MAT 131 and MAT 141 but not MAT 211. Prerequisite: MAT 100 (with grade of C- or higher) or placement.
MAT 111 Topics in Mathematics
3 Semester Hours
A survey of topics designed to foster an appreciation for mathematics by studying mathematical systems not ordinarily encountered in high school. Topics include: logic, set theory, graph theory, voting and apportionment methods and flaws, history of mathematics, and others. This course can serve as a prerequisite for MAT 141, but not MAT 131. Prerequisite: MAT 100 (with a grade of C- or higher) or placement.
MAT 121 Elementary Functions with Trigonometry
4 Semester Hours
Concepts and manipulations of inequalities, absolute value, and functions of one variable: linear, quadratic, absolute value, polynomial, rational, exponential, logarithmic, and trigonometric functions; and introduction to analytic geometry. MAT 121 serves as preparation for MAT 131 and MAT 211. Algebraic and pictorial points of view are stressed simultaneously. Prerequisite: MAT 100 (with grade of C- or higher), or placement.
MAT 131 Calculus for Business and the Applied Sciences
3 Semester Hours
Functional notation and manipulations; limits; differentiation and integration of algebraic, exponential, and logarithmic functions. Emphasis is on concepts and applications. Prerequisite: MAT 101 or 121(with grade of C- or higher), or placement.
MAT 141 Probability and Statistics
3 Semester Hours
An introduction to basic statistical concepts: descriptive statistics, probability, the binomial and normal distributions, estimation, hypotheses tests, linear correlation and regression. Examples are drawn from disciplines of common interest to a variety of students Prerequisite: MAT 101, MAT 111, or MAT 121(with a grade of C- or higher) or placement.
MAT 200 Discrete Mathematics
3 Semester Hours
An introduction to the basic techniques of problem solving in discrete mathematics, including logic, set theory, relations and functions, counting principles, recurrence relations, and mathematical induction. Applications of these topics to computer science, population dynamics, and scheduling are included. Prerequisite: MAT 101 or MAT 121.
MAT 211 Analytic Geometry and Calculus I
4 Semester Hours
A study of analytic geometry of the line and circle, functions, limits and continuity, differentiation of algebraic and trigonometric functions, and applications of differentiation, antiderivatives, the definite integral, and the fundamental theorem of calculus. Prerequisite: MAT 121 (with a grade of C- or higher) or placement.
MAT 221 Analytic Geometry and Calculus II
4 Semester Hours
Applications of the integral, transcendental functions and their derivatives, introduction to differential equations, techniques of integration, improper integrals and indeterminate forms, and infinite series. Prerequisite: MAT 211 (with grade of C- or higher) or placement.
MAT 231 Analytic Geometry and Calculus III
4 Semester Hours
Calculus of several variables; plane and solid analytic geometry; parametric equations; vectors and vector functions; non-Cartesian coordinate systems; partial differentiation; multiple integration; and introduction to theorems of vector calculus. Prerequisite: MAT 221 (with grade of C- or higher).
MAT 341 Linear Algebra
3 Semester Hours
Simultaneous linear equations; vectors; matrices; vector spaces; linear transformations; determinants; and eigenvalues. Prerequisite: MAT 211 (with grade of C- or higher) or permission of instructor.
MAT 351 Differential Equations
3 Semester Hours
Solution techniques for first order ordinary differential equations; second order linear differential equations and linear systems; series solutions; and Laplace transforms. Prerequisite: MAT 221.
MAT 361 Modern Algebra
3 Semester Hours
Basic algebraic structures; a review of set theory; equivalence relations; theory of groups, rings, integral domains, and fields; quotient structures; homomorphisms; rational, real, and complex fields; and polynomial rings. Prerequisite: MAT 341.
MAT 411 Real Analysis
3 Semester Hours
A study of the real numbers including some topology of the real line; sequences and series; continuity, differentiation, integration, and sequences and series of functions. Prerequisites: MAT 231 and MAT 341.
MAT 412 Complex Variables
3 Semester Hours
Algebra, topology, and geometric representation of complex numbers; analytic functions of a complex variable, including integration, Taylor and Laurent series, residues, and an introduction to conformal mapping. Prerequisite: MAT 231 and MAT 351, or permission of instructor.
MAT 415 Special Topics in Mathematics
3 Semester Hours
A study of selected areas not listed in the catalog as named courses. The topics will be chosen from among the history of mathematics, partial differential equations, Fourier analysis, number theory, general topology, and geometry. Prerequisites: MAT 231, MAT 341, and permission of instructor.
MAT 450 Math Seminar
1 Semester Hour
Written and oral presentations by students of the results of extensive research on advanced topics selected by the faculty and students. Prerequisite: permission of instructor. |