Mathematics

Course descriptions are listed alphabetically by subject prefix.  Each course description begins with a three letter subject prefix followed by a three – digit course number and the course title. The number on the right of each course description gives the semester credit hours for that course. If a course includes laboratory or other special activities, that information is contained in the course description.  Prerequisites are also listed.  A prerequisite is a course, experience, or other required preparation that must be completed before the student is permitted to enroll in the course.

Subject Prefix and Course Number Course Name Semester Credit Hours Course Description Cross Listed Course Prerequisite(s)
MAT 111 Contemporary Mathematics 3 This course develops problem solving
and mathematical skills through a sequence of
applied topics. Topics include mathematical finance,
probability and statistics, growth models for a variety
of situations, and geometry.
Not Applicable MAT 096 with grade of "C" or higher, or
placement based on scores on ACT, SAT, or mathematics
placement test.
MAT 115 College Algebra 3 This course develops the algebraic skills necessary for
further studies in mathematics. Topics include the
algebra of functions; graphing techniques; quantitative
and qualitative analysis of polynomial, rational, exponential
and logarithmic functions, including limits at
infinity and infinite limits; and appropriate applications.
Not Applicable MAT 097 with grade of C or higher or
appropriate scores on ACT, SAT, or placement test.
MAT 120 Precalculus 4 Review of polynomial, rational, exponential, and logarithmic
functions, their graphs, and inverses; trigonometric
identities, functions and their inverses; complex
numbers; vectors; linear systems of equations, and
polar coordinates.
Not Applicable MAT 115 with grade of "C" or higher or
appropriate scores on ACT, SAT, or placement test.
MAT 125 Business Calculus and Matrices 3 This course covers matrices,
Gauss-Jordan reductions, systems of linear equations,
and an introduction to differential and integral calculus.
A variety of business applications are included.
Not Applicable MAT 115 or appropriate scores on ACT, SAT, or placement test.
MAT 131 Calculus and Analytic Geometry I 5 Review of functions; limits of
functions; derivatives and definite integrals of algebraic
and transcendental functions; indeterminate
forms; applications of the derivative and integral; the
fundamental theorem of calculus.
Not Applicable MAT 120 or appropriate scores on ACT, SAT, or placement test.
MAT 132 Calculus and Analytic Geometry II 5 Review of the fundamental
theorem of calculus; properties of definite and indefinite
integrals; applications of the definite integral;
techniques of integration; improper integrals; definite
integral approximation with error bounds; infinite sequences
and series; Taylor polynomial approximation;
parametric equations and polar coordinates.
Not Applicable MAT 131
MAT 176 Accelerated College Algebra 4 This course is designed to be an efficient combination of monomials, polynomials rational and radical expressions; solving equations and inequalities, including linear, rational, quadratic, absolute value, exponential and logarithmic; developing problem solving techniques; an introduction to functions, variation, the algebra of functions and their graphs; study of properties and graphs of polynomial and rational functions, as well as exponential and logarithmic functions; techniques in graphing functions, including use of a graphing calculator and regression analysis; reading/interpreting graphs of functions and applications. Not Applicable An ACT math subscore of 19 (or better), or an SAT math subscore of 460 (or better), or a grade of C or better in MAT 096 or a KYOTE College Readiness placement score of 22 (or better)
MAT 203 Mathematics for Elementary
Teachers I
4 This is the first course in a two-semester
sequence designed to meet the needs of elementary
school teachers. Topics include sets, whole numbers,
numeration systems, bases, elementary number theory,
fractions, decimals, real numbers. Problem solving,
applications and historical topics are discussed
throughout the course.
Not Applicable completion of mathematics liberal studies
requirement.
MAT 204 Mathematics for Elementary
Teachers II
4 Continuation of MAT 203.
Topics include ratio and proportion, probability, statistics,
geometry, and measurement.
Not Applicable MAT 203
MAT 231 Multivariate Calculus
3 Calculus of vector-valued
functions, partial differentiation, multiple integrals,
curl, surface integrals and Stokes’ theorem. Plane curves, polar coordinates, vectors, and
three-dimensional analytic geometry.
Not Applicable MAT 132
MAT 232 Differential Equations 3 The study of first-order
equations, linear equations, the Laplace transform,
Picard’s existence theorems, and systems of equations.
Not Applicable MAT 132
MAT 300 Introduction to Advanced
Mathematics
3 This
course provides an orientation to higher mathematics.
Topics include logic, mathematical proof, set theory,
relations and functions, and an introduction to mathematical
axiom systems.
Not Applicable MAT 132 or consent of instructor
MAT 304 Perspective on Mathematics
3 Survey of history, cultural
ramifications, methods, connections among various
branches, and opportunities of mathematics. Required
of all mathematics and applied mathematics majors
Not Applicable MAT 131
MAT 307 Linear Algebra 3 Coordinates,
vectors, vector spaces, subspaces, Euclidean n-space, determinants, linear transformations, linear
transformations and matrices, bi-linear and quadratic
forms are studied.
Not Applicable MAT 132 or consent of instructor
MAT 312 Mathematical Programming 3 This course is
an introduction to modern operations research. Modeling,
theory, and applications of linear programming,
integer programming, scheduling, inventory, and network problems are studied.
Not Applicable MAT 125 or MAT 307
MAT 315 Numerical Analysis 3 Techniques of numerical approximation
in analysis and algebra.
Not Applicable MAT 231
MAT 321 Probability and Statistics I 3 Measures of central tendency
and dispersion, basic probability theory, Bayes Theorem,
discrete and continuous univariate probability
distributions, moments, random variables, sampling
theory, estimation, hypothesis testing.
Not Applicable MAT 132
MAT 322 Probability and Statistics II 3 Multivariate distributions,
joint and conditional distributions, moments, variance
and covariance, functions of several random variables,
correlation and regression, chi-square tests, analysis of variance.
Not Applicable MAT 321
MAT 326 Modern Geometry
3 This course includes study of
axiom systems; Euclidean and Non-Euclidean Geometries;
affine, spherical, projective and vector geometries.
Not Applicable MAT 300
MAT 333 Complex Variables 3 This course is focused on the techniques and applications of the complex number system. Topics include Euler formula, analytic functions and the method of residues. Not Applicable MAT 231 or consent of instructor
MAT 399 Undergraduate Teaching Experience 1 An investigative
approach to both the figurative and abstract levels. Personal visual expressions are encouraged.
PHY 399, BIO 399, CHE 399, COS 399 Consent of instructor
MAT 401 Modern Algebra I 3 Operations, permutations,
groups, isomorphisms, factor groups, Sylow’s theorems,
and applications are discussed.
Not Applicable MAT 300
MAT 402 Modern Algebra II 3 Continuation of MAT 401.
Rings, integral domains, quotient rings and ideals, extension
fields, and vector spaces are studied.
Not Applicable MAT 401
MAT 403 Real Analysis I 3 Real numbers
and Euclidean n-space, continuous functions, differentiable
functions of one and several variables, and the
Riemann integral are studied.
Not Applicable MAT 231 and MAT 300
MAT 404 Real Analysis II 3 Classical Lebesque integral,
power series, curves, surfaces, integral theorem, divergence,
and theorems of Green and Stokes are discussed.
Some applications are examined.
Not Applicable MAT 403
MAT 411 Topology 3 Topological spaces, metric
spaces, separation axioms, connectedness, compactness,
continuity, product and quotient spaces.
Not Applicable MAT 300
MAT 415 Elementary Dynamical Systems 3 Time evolution of various
physical and/or biological systems and asymptotic
behavior of orbits in space are studied with various
mathematical techniques.
Not Applicable MAT 232
MAT 460 Mathematics Seminar 3 An integrated
overview of the mathematics curriculum. Each
student will be required to prepare and present independent
investigation of topics of personal/
professional interest. May be repeated once for
credit.
Not Applicable Senior standing in mathematics
MAT 470 Mathematical Modeling 3 This course is
designed to provide a student with broad exposure to
mathematical models and techniques to find solutions
to governmental, industrial, and management problems.
Optimization technique, probability and stochastic
processes, physical and biological applications,
hierarchies and priorities, computer-aided modeling
and problem solving will be covered.
Not Applicable Consent of instructor
MAT 495 Topics in Mathematics 1 This course requires
intensive examination of a mathematical topic
chosen by a faculty member in Mathematics. This
course will involve intensive reading, presentation, and
discussion, as well as writing. May be repeated for
credit.
Not Applicable Consent of instructor