Mathematics Course Descriptions
Please note that the provided information is presented as a
convenience for the student.
If any of the information differs from that of the current catalog,
the catalog takes precedence.
Please consult your academic advisor or any mathematics faculty
member if you have any questions about the information presented
here:
MAT
1007
SOCIAL WORLD ALGORITHMS
Four hours.
A study of various areas of modern mathematics with applications to the social world. Topics include voting, graph theory, fractal geometry, population growth models, and statistical sample bias.
Gen Ed: SW (Aw, An), Qn
MAT
1047
PRECALCULUS
Four hours.
A study of polynomial, rational, exponential, logarithmic, and trigonometric functions and coordinate geometric techniques.
Gen Ed: Qn
MAT
2022
ELEMENTARY STATISTICS
Four hours.
Students use statistical methods to analyze data from real world situations and make inferences. These methods involve descriptive analysis, probability distributions, correlation, linear regression, the Central Limit Theorem, confidence intervals, and hypothesis testing.
Gen Ed: Qn
MAT
2032
BIOSTATISTICS
Four hours.
Applied statistical tools for analysis and decision making with applications for biology, environmental and agricultural sciences. Statistical terminology, collection and presentation of data, probability distributions, sampling, experimental design, parametric and nonparametric procedures, regression, correlation and analysis of variance. Class demonstrations of analysis using statistical software.
Gen Ed: Qn
MAT
2050
APPLIED CALCULUS
Four hours.
Prerequisite: Competency in algebra or permission of the instructor. Basic analytic geometry; differentiation and integration of single variable functions; optimization and other applications of single variable calculus, differentiation and integration of multi-variable and trigonometric functions; differential equations, with emphasis on applications to real world problems.
Gen Ed: Qn
MAT
2100
DISCRETE STRUCTURES
Four hours.
Same as CSC 2100. Mathematical topics fundamental to the study of theoretical computer science such as algorithms, Boolean algebras, counting techniques, combinatorics, graph theory, languages and recurrence relations.
Gen Ed: Qn
MAT
2311
CALCULUS I WITH PLANE ANALYTIC GEOMETRY
Four hours.
The study of differentiation and integration of algebraic and transcendental functions. Applications of differentiation, Mean Value Theorem, maximum/minimum, problems and The Fundamental Theorem of Calculus. Topics in plane analytic geometry. Use of computer algebra system (CAS) required.
Gen Ed: Qn
MAT
2312
CALCULUS II WITH PLANE ANALYTIC GEOMETRY
Four hours.
Prerequisite: MAT 2311. Continuation of MAT 2311. Techniques and applications of integration, Simpson’s and Trapezoidal Rules, improper integrals, infinite series, and Taylor expansions of functions. Use of a computer algebra system required.
Gen Ed: Qn
MAT
2505
LINEAR ALGEBRA
Four hours.
Prerequisites: MAT 2312. The study of matrices, solution of homogeneous and non-homogeneous systems of equations, vector spaces, linear mappings, determinants, eigenvalues, and eigenvectors.
MAT
3205
PROOF TECHNIQUES
Four hours.
Prerequisite: MAT 2312. An introduction to the logic and methods of higher mathematics, emphasizing critical thinking and basic proof techniques.
MAT
3313
CALCULUS III WITH SOLID ANALYTIC GEOMETRY
Four hours.
Prerequisite: MAT 2312. Solid analytic geometry, vector calculus. partial differentiation, and multiple integrals. Use of computer algebra system (CAS) required.
Gen Ed: Qn
MAT
3350
DIFFERENTIAL EQUATIONS
Four hours.
Prerequisite: MAT 2312. Students use qualitative, numerical, and analytical techniques to study solutions of ordinary differential equations and systems of ordinary differential equations. Topics include analytic methods for solving separable and linear differential equations, numeric methods, existence and uniqueness theorems, systems of linear differential equations, stability of autonomous systems, discrete dynamical systems, and chaos. Use of a computer algebra system is required.
MAT
3442
PROBABILITY AND STATISTICS
Four hours.
Prerequisites: MAT 3313 and 3205. Study of probability models, random variables, discrete and continuous distributions, sampling estimation, multivariate random variables, hypothesis testing and confidence intervals.
MAT
4205
ALGEBRAIC STRUCTURES
Four hours.
Prerequisite: MAT 3205. This course explores the basic properties of the fundamental structures found so very useful to algebraists, notably, rings, fields, and groups. It also entails a significant collaborative research and problem-solving capstone experience.
MAT
4315
ELEMENTARY ANALYSIS
Four hours.
Prerequisites: MAT 3313 and 3205. The beginning study of analysis including countability, sequences, convergence, limits, continuity, and differentiation.
MAT
4630
SELECTED TOPICS IN MATHEMATICS
Two or four hours.
Prerequisite: Permission of instructor. Covers contemporary topics at an advanced level in mathematics (such as graph theory, group theory, knot theory, linear algebra, logic, modern algebra, real analysis, topology). Course may be repeated for credit with a different topic.
MAT
4645
SELECTED TOPICS IN COMPUTER SCIENCE AND MATHEMATICS
Two or four hours.
Same as CSC 4645. Prerequisite: Permission of instructor. Covers contemporary topics at an advanced level in applied mathematics and computer science. (For example: numerical methods, graph theory.) Course may be repeated for credit with a different topic.
MAT
4999
MATHEMATICS SENIOR SEMINAR
Two hours.
This research course entails a student initiated and faculty directed development of a paper, topic, or solution of a problem in mathematics at a level substantially above or beyond that of the coursework in the major. In particular, the student will select a faculty director who will supervise the student in research of an approved topic or solution of an approved problem.