Undergraduate Course Listings:
MAT 100 - Developmental
Mathematics
Prerequisite: instructor’s
consent
Required of students judged to be unprepared for MAT 101; carries
elective credit but does not count toward a major, minor, or university
core curriculum. Covers topics from arithmetic, geometry, and algebra.
Course Coordinator: Chris Allen
MAT 101 - College Algebra
Prerequisite: MAT 100 or one
year of high school algebra
This course builds upon basic algebraic concepts. it includes topics
such as rational expressions, rational exponents, radicals, quadratic
equations and inequalities, quadratic functions, graphing, systems of
equations, and exponential and logarithmic functions.
Course Coordinator: Chris Allen
MAT 102- Trigonometry
Prerequisite: MAT 101 or two
years of high school algebra
A study of the trigonometric functions, their properties, their graphs
and their application to problems in physics, mechanics and surveying.
Also includes a study of the conic sections and complex numbers.
Course Coordinator: Charlotte McMath
MAT 105 - Contemporary
Mathematics
A survey of mathematical topics for non-majors, designed to develop an
appreciation of the uses of mathematics. Selected topics will include:
problem solving, math modeling, statistics and the mathematics of
finance.
Course Coordinator: Charlotte McMath
MAT 121 - Calculus with Analytic
Geometry I
Prerequisite: MAT 102 or the
equivalent
A study of limits, continuity, the derivative and its applications.
Course Coordinator: Melinda Gann
MAT 122 - Calculus with Analytic
Geometry II
Prerequisite: MAT 121
A study of integration and transcendental functions including
applications.
Course Coordinator: Teresa Floyd
MAT 181 - Mathematics with Technology
Pre/Co-requisite: MAT 121
Survey on the use of graphing calculators and mathematical software.
Course Coordinator: Teresa Floyd
MAT 205 - Finite Mathematics
Prerequisite: MAT 101 or 2
years high school algebra
A study of mathematics for business, management and economics. Topics
include algebra, functions and graphs, exponential and logarithmic
functions, mathematics of finance, systems of equations and matrices.
Course Coordinator: Charlotte McMath
MAT 206 - Applied Calculus
Prerequisite: MAT 205 or
equivalent
A study of the applications of calculus for disciplines outside of
mathematics such as business, economics, management, computing and
information systems and the life and social sciences. Topics include
differentiation, integration and multivariate calculus and applications.
Course Coordinator: Charlotte McMath
MAT 207 - Elementary Statistics
Prerequisites: MAT 101, 210 or
two years of high school algebra
A study of elementary statistics for non-majors with an introduction to
probability. Emphasis is placed on student understanding and
interpretation of statistical data and computation using calculators
and computers. Mathematics majors should take MAT 253.
Course Coordinator: Melinda Gann
MAT 210 - Mathematics for
Teachers: Number Systems
Prerequisite: Sophomore standing
A development of the real number system for prospective elementary
teachers. Emphasis is placed on developing number sense through problem
solving, estimation, properties of real numbers and modeling
algorithms.
Course Coordinator: Melinda Gann
MAT 211 - Mathematics for
Teachers: Geometry
Prerequisite: MAT 210 or
instructor’s consent.
A development of ideas related to informal geometry for prospective
elementary teachers. Material includes topics from Euclidean geometry,
solid geometry, analytic geometry and measurement.
Course Coordinator: Teresa Floyd
MAT 213 - Introduction to Linear
Algebra
Prerequisite: MAT 101 or
equivalent
This course will give the student an understanding of the basic tools
of vector and matrix arithmetic. Major topics covered include
determinants, linear systems, matrix factorization, linear
transformations, eigenvalues and eigenvectors with selected
applications.
Course Coordinator: John Travis
MAT 221 - Calculus with Analytic
Geometry III
Prerequisite: MAT 122
A study of numerical methods, infinite series, polar coordinates, and
vectors in the plane.
Course Coordinator: Tommy Leavelle
MAT 222 - Calculus with Analytic
Geometry IV
Prerequisite: MAT 221
A study of vectors in three dimensions, partial differentiation, the
gradient and applications, double and triple integrals, vector fields
and line and surface integrals.
Course Coordinator: John Travis
MAT 253 - Introduction to
Mathematical Probability and Statistics
Prerequisite: MAT 122
This course is a calculus-based introduction to probability and
statistics. Major emphasis is placed on developing a precise framework
for solving problems under uncertainty. Topics covered include expected
value, probability density functions and their distributions,
interpretation of the Central Limit Theorem and its application to
confidence intervals and hypothesis testing.
Course Coordinator: John Travis
MAT 301 - Foundations of
Mathematics
Prerequisite: MAT 122
An introduction to the ideas needed for advanced mathematics courses.
Topics include set theory, logic, axiom systems, proof techniques,
relations, functions, and cardinality. Emphasis will be given to
applying proof techniques to material on number systems and other areas
of higher mathematics.
Course Coordinator: John McMath
MAT 304 - Modern Plane Geometry
Prerequisites: MAT301 and high
school geometry or MAT 211
A study of Euclidean geometry from the modern axiomatic viewpoint. Some
alternatives to Euclidean geometry will be considered.
Course Coordinator: Teresa Floyd
MAT 309 - Discrete Mathematics
Prerequisite: MAT 122 or
instructor’s consent
An introduction to discrete mathematics including induction and
recursion, algorithms, relations, partial ordering, graphs, directed
graphs and trees. Applications will include Euler and Hamilton
paths and minimal spanning trees.
Course Coordinator: Tommy Leavelle
MAT 320 - Introduction to Number
Theory
Prerequisite: MAT 301
An introduction to properties of integers, prime numbers, divisibility,
number theoretic functions and congruences.
Course Coordinator: John McMath
MAT 352 - Introduction to
Differential Equations
Prerequisites: MAT 222, or MAT
221 and instructor’s consent
This course covers the development of ordinary differential equations
from special applications and concentrates on the derivation of methods
for determining their solutions. First order equations, linear
equations and systems of equations and Laplace Transforms are discussed
as well as further applications.
Course Coordinator: John Travis
MAT 381 - Introduction to
Numerical Methods
Prerequisite: MAT 122 and CSC
116
This course looks into the modeling of mathematical concepts on a
computer. Algorithms will be discussed and implemented which find
roots of equations, give polynomial approximations to discrete data,
approximate integrals and derivatives, solve ordinary diff e rential
equations and solve linear systems of equations. Cross-listed as CSC
381.
Course Coordinator: John Travis
MAT 401 - Mathematics Seminar
Credit 1 sem. hr.
Prerequisites : COM 202, 203 or
304; senior standing
This one hour seminar allows senior mathematics students the
opportunity to build their skills in the use of information systems
culminating in an oral presentation of a written paper on a selected
topic in mathematics.
Course Coordinator: John Travis
MAT 405 - Introduction to
Operations Research
Prerequisite: instructor’s
consent
Application of quantitative methods to problems arising in the area of
business and computing science. Cross-listed as CSC 405.
MAT 406 - History of Mathematics
Prerequisite: MAT 301 or
instructor’s consent
A development of areas of mathematics such as algebra, geometry, and
analysis and a study of the lives and works of outstanding
mathematicians.
Course Coordinator: Teresa Floyd
MAT 407 - Statistical Data
Analysis
Prerequisite: MAT207 or MAT 253
or instructor’s consent
Development and application of descriptive techniques, inferential
techniques, simple and multiple linear regression. Frequent use of
statistical computer packages, allowing the student to concentrate on
topics in his own major area. No previous knowledge of the computer is
required, though some familiarity is desirable.
MAT 413 - Linear Algebra
Prerequisite: MAT 301
An introductory course in linear algebra. Subjects treated are vectors,
vector spaces, matrices and determinants, systems of linear equations,
linear transformations in a vector space, and systems of linear
differential equations.
Course Coordinator: John McMath
MAT 421 - Modern Algebra
Prerequisite: MAT 301
A study of groups, rings, integral domains and fields.
Course Coordinator: Tommy Leavelle
MAT 426 - Advanced Calculus
Prerequisites: MAT 222 and MAT 301
Set theory, the real number system, metric spaces, continuous functions, differentiation and integration.
Course Coordinator: John McMath
MAT 431, 432, 433 - Selected
Topics
Credit, 1, 2, or 3 sem. hrs., Respectively
Prerequisite: Instructor’s
consent
A study of selected topics in mathematics.
Course Coordinator: John Travis
MAT 441 - Methods and Materials
for the Teaching of Secondary Mathematics
Prerequisite: Junior standing
and intent to gain a standard educator’s license in
Mathematics
This course will acquaint preservice secondary teachers with NCTM
Standards and current issues related to teaching secondary mathematics.
Emphasis will be placed on using manipulative materials; graphing and
scientific calculators; and computers and software to teach mathematics.
Course Coordinator: Teresa Floyd
MAT 452 - Applied Mathematical
Problem Solving
Prerequisites: MAT 222 and
instructor’s consent
Various problem solving techniques will be employed. Applications of
linear algebra, the calculus sequence, and other undergraduate
mathematics courses provide a comprehensive review of these courses.
This would be an excellent course for students considering a career in
actuarial science.
Course Coordinator: John McMath
MAT 460 - Introduction to Topology
Prerequisite: MAT 301
An introduction to metric spaces and topological spaces. Additional topics include continuous functions, separation axioms, connectedness and compactness.
Course Coordinator: John McMath
Graduate Course Listings:
MAT 5401 - History of Mathematics
Prerequisite: MAT 301 or instructor’s consent
A development of areas of mathematics such as algebra, geometry, and analysis and a study of the lives and works of outstanding mathematicians.
Course Coordinator: Teresa Floyd
MAT 5407 - Statistical Data Analysis
Prerequisite: MAT 207 or MAT 253
Development and application of descriptive techniques, inferential techniques, linear regression. Use of statistical computer packages, allowing the students to concentrate on topics in their major areas. Previous knowledge of computer helpful but not required.
MAT 5415 - Linear Algebra
Prerequisite: MAT 301
An introductory course in linear algebra. Subjects treated are vectors, vector spaces, matrices and determinants, systems of linear equations, linear transformations in a vector space, and systems of linear differential equations.
Course Coordinator: John McMath
MAT 5420 - Modern Algebra
Prerequisite: MAT 301
A study of groups, rings, integral domains, fields and other algebraic structures.
Course Coordinator: Tommy Leavelle
MAT 5422 - Introduction to Topology
Prerequisite: MAT 301
An introduction to metric spaces and topological spaces. Additional topics include continuous functions, separation axioms, connectedness and compactness.
Course Coordinator: John McMath
MAT 5426 - Advanced Calculus
Prerequisites: MAT 222 and MAT 301
Set theory, the real number system, metric spaces, continuous functions, differentiation and integration.
Course Coordinator: John McMath
MAT 5441 - Methods and Materials for the Teaching of Secondary Mathematics
Prerequisite: Intent to earn educator license in Mathematics.
This course will acquaint preservice secondary teachers with NCTM Standards and current issues related to teaching secondary mathematics. Emphasis will be placed on using manipulative materials; graphing and scientific calculators; and computers and software to teach mathematics.
Course Coordinator: Teresa Floyd
MAT 5452 - Applied Mathematical Problem Solving
Prerequisite: MAT 222 and instructor’s consent.
Various problem solving techniques will be employed. Applications of linear algebra, the calculus sequence, and other undergraduate mathematics courses provide a comprehensive review of these courses. This would be an excellent course for students considering a career in actuarial science.
Course Coordinator: John McMath
MAT 5455 - Graph Theory
Prerequisite: Math 222 or instructor’s consent.
An introduction to graph theory with a wide variety of applications, both to other branches of mathematics and to the real world. Some subjects to be treated are graphs, subgraphs, cycles, trees, matchings, and planar graphs. [Cross-listed as CSC 5455.]
Course Coordinator: John Travis
MAT 5462 - Mathematical Statistics
Prerequisite: MAT 253
This course develops rigorous proofs for the results presented in MAT 253. Multivariate Statistics is also covered. Linear regression and the analysis of variance will be discussed as well as applications of the theory.
Course Coordinator: John Travis
MAT 5465 - Numerical Analysis
Prerequisite: MAT/CSC 381
This course is a mathematical analysis of scientific computing. Topics covered include the stability and convergence of algorithms, interval arithmetic, fixed point iteration, matrix factorizations, norms and eigenvalues; iterative solutions to systems. Additional discussions will focus on the design of efficient algorithms for use on parallel computers. [Cross-listed as CSC 5481.]
Course Coordinator: John Travis
MAT 5490 - Introduction to Operations Research
Prerequisite: instructor’s consent
Application of quantitative methods to problems arising in the areas of business and computing science. [Cross-listed as CSC 5405.]
Course Coordinator:
MAT 6502 - Mathematics Seminar
Prerequisite: graduate standing
Development and presentation of special topics in higher mathematics. Selected topics are approved by the instructor.
Course Coordinators: Melinda Gann and John McMath,
MAT 6511 - Theory of Numbers
A study of congruences, Euclidean algorithms, properties of prime numbers, theory of quadratic residues, rational integers, Diophantine equations, linear congruences, and Euler-Fermat theorems.
Course Coordinator: John McMath
MAT 6520 - Selected Topics from Higher Algebra I
A development of the real number system along with a study of algebraic systems such as groups, rings, integral domains, and fields. A development of the complex numbers and other numbers fields.
Course Coordinator: Tommy Leavelle
MAT 6521 - Selected Topics from Higher Algebra II
Prerequisite: MAT 6520
Introduction to permutation groups, symmetry groups, Euclidian groups, factorization of integers, polynomials, ideals, and fields (including the field of complex numbers).
Course Coordinator: Tommy Leavelle
MAT 6526 - Real Analysis
Prerequisite: graduate standing in mathematics and instructor’s consent
This course serves as a rigorous introduction to measure theory and Lebesque integration. Emphasis is placed on careful development of measure, measurable sets and measurable functions. Many important results of functional analysis are presented including the Monotone Convergence Theorem, Fatou’s Lemma, the
Banach-Steinhaus Theorem, the Open-Mapping Theorem and the Hahn-Banach Theorem.
Course Coordinator: John Travis
MAT 6541 - Current Topics in Mathematics Education
Prerequisite: Graduate standing and intention to seek AA licensure in secondary mathematics
This course will address current content topics, current method trends, and uses of technology in the secondary mathematics classroom. Trends based on research and current practices will be included.
Course Coordinator: Teresa Floyd
MAT 6551 - Modern Geometry
Prerequisite: 18 semester hours of mathematics
A review of topics in Euclidean geometry and an intuitive introduction to non-Euclidean geometries.
Course Coordinator: Tommy Leavelle
MAT 6563 - Thesis I
Prerequisite: Approval of prospectus and satisfactory progress as determined by the advisor. (Eligible for grade of PR only until MAT 6564 is completed; the permanent grade for 6563 and 6564 will be assigned when the thesis is approved.)
MAT 6564 - Thesis II
Prerequisite: Completion of thesis and oral defense as determined by thesis
committee. Binding Fee. (Eligible for temporary grade PR only until thesis is completed; a permanent grade will be assigned when the thesis is completed.)
MAT 6570 - Mathematical Modeling
Prerequisite: graduate standing
The development of mathematical systems which assist in the study of the physical and social sciences and business.
Course Coordinator: John Travis
MAT 6591, 6592, 6593 - Field Studies
1, 2, or 3 sem. hrs. respectively