MAT 099 | Introduction to Algebra
| 4 hours
Review of computations with whole numbers, integers and rational numbers;
simplifying algebraic expressions; solving and graphing linear equations and
inequalities; one variable practical applications; basic geometric concepts
to include perimeter and area of basic figures; systems of linear equations;
computations with polynomials, rational expressions and radicals. This
course is offered without elective credit as a service to the student who
needs to study basic mathematical concepts as a preparation for MTH 150.
This course should not be taken by a student who has had Algebra I or
Algebra II on the secondary level. Fall
MAT 115 | Geometry I
| 1 hour
An introduction to Euclidean and computational geometry. The course will
include areas, volumes, and surface areas, angles, constructions, deductive
proofs and elementary trigonometry.
Fall Even
MAT 116 | Geometry II
| 1 hour
An introduction to Euclidean and computational geometry. The course will
include geometric figures, constructions, and deductive proofs. Fall Even
MAT 125 | Elementary Applications in Mathematics
| 3 hours
Statistics, probability, logic, personal finance, algebra, and elementary
topics in mathematics. Spring
MAT 150 | College Algebra
| 4 hours
First degree equations and inequalities in one variable; irrational and
complex numbers; quadratic equations and inequalities; functions and graphs;
exponential, logarithmic and special functions; systems of equations. Fall and Spring
MAT 180 | Precalculus
| 4 hours
Basics of college algebra, trigonometry and analytic geometry. This course
is designed for a student who has completed two years of high school algebra
but has not had trigonometry and/or analytic geometry. Prerequisite: MTH 150
or consent of instructor Spring
MAT 205 | Discrete Mathematics
| 3 hours
Mathematical structures and their applications to computer science. Topics
include: counting techniques, mathematical logic, set theory, Boolean
algebra, graph theory, and the application of algebraic structures to
computer design. Prerequisite: MTH 150 or equivalent. Spring Even
MAT 209 | Calculus I
| 4 hours
An elementary introduction to most of the basic material of calculus:
functions and limits, derivatives, direction fields, antiderivatives,
trigonometric functions, integrals, areas of regions in the plane. The
course is designed for the student who needs the basic topics for physics,
chemistry, biology, business, and engineering courses. Prerequisite: MTH 180
or equivalent. Fall
MAT 210 | Calculus II
| 4 hours
A deepening of the material of Calculus I. Topics include: applications of
the definite integral, transcendental functions, techniques of integration,
polar coordinates and analytic geometry, indeterminate forms, improper
integrals, lower order Taylor polynomials, infinite series. Prerequisite:
MTH 209 or equivalent Spring
MAT 219 | Elementary Statistics
| 4 hours
Basic concepts of statistics and their practical application. Topics
include: frequency distributions, measures of central tendency, measures of
dispersion, normal distribution, correlation, regression and prediction,
inferential statistics. Prerequisite: MTH 125 or equivalent or consent of
the instructor. Spring
MAT 270 | Mathematical Modeling
| 1 hour
This course attempts to involve a student in the creative and early design
aspects of problem formulation and solution. Case studies using real-world
and contrived problems will be presented to demonstrate that modeling is a
fundamental part of the general scientific method and is especially
important in applied mathematics. (spring odd)
MAT 303 | Non-Euclidean Geometry
| 1 hour
An extension of geometry into non-Euclidean forms. Fall Even
MAT 311 | Calculus III
| 4 hours
A continuation of the calculus sequence. Topics include: vector calculus,
functions of several variables, higher level partials and applications,
double integrals, multiple integrals. Prerequisite: MTH 210 or equivalent Fall Odd
MAT 355 | Linear Algebra
| 4 hours
Gaussian elimination, vector spaces and subspaces, orthogonal projections
and least squares fitting of data, the pseudoinverse, determinants,
eigenvalues and eigenvectors. Prerequisite: Consent of instructor. Fall Odd
MAT 375 | Methods in Numerical Analysis
| 3 hours
Solution of nonlinear equations, interpolating polynomials, numerical
integration, numerical differentiation, method of undetermined coefficients,
numerical solution of ordinary differential equations, sets of equations,
boundary value problems. Prerequisite: MTH 210 or equivalent. Fall Even
MAT 430 | Differential Equations | 3 hours
The study of the fundamental methods of solving ordinary differential
equations and their applications. Prerequisite: MTH 210 or equivalent.
(spring odd)
MAT 455 | Abstract Algebra
| 4 hours
Rings, sets, integral domains, properties of the integers, fields and the
rational numbers, real and complex numbers, groups, polynomials.
Prerequisite: Consent of instructor. Spring Even
MAT 490 | Seminar
Contemporary mathematics, research readings, creative work in major area.
This is the terminal course for mathematics majors. Spring |