Undergraduate Math Courses

MATH 1001 - Introduction to Mathematics

An overview and introduction to the field of mathematics.

MATH 1053 - College Algebra

Linear and quadratic equations. Properties of exponents. Factoring. Graphing. Functions, including logarithmic and exponential functions. Inequalities.
Advisors may require this course as a prerequisite to MATH 1083, MATH 1093, or MATH 1163.

MATH 1083 - Contemporary Mathematics

Quantitative topics from fields such as mathematical analysis, discrete mathematics, and statistics are applied to contemporary social, medical, and physical problems.
Prerequisite: Three years of high school mathematics and a passing score on the ACT or the university mathematics placement examination.

MATH 1093 - Mathematics with Applications

Calculus preparatory course emphasizing a functional approach to topics in algebra, exponents and logarithms, and analytic geometry with some applications to business.
Prerequisites: MATH 1053 or three years of high school mathematics, including a second year of algebra, and a passing score on the ACT or the university mathematics placement examination.

MATH 1103 - Basic Calculus

Calculus for students of business and the social and life sciences. Quadratics. Logarithms. Exponential functions. Introduction to differential and integral calculus.
Prerequisite: MATH 1093

MATH 1163 - Pre-Calculus Mathematics

Intensive calculus preparatory course emphasizing a functional approach to topics in algebra, trigonometry, exponents and logarithms, and analytic geometry that are essential to the study of calculus. Check with advisor to determine whether this course can be taken for credit in your degree program.
Prerequisites: Equivalent of two years high school algebra and one year plane geometry and a passing score on the ACT, or the university mathematics placement examination, or MATH 1053.

MATH 2014 - Calculus I

Theory and application of the differential calculus of polynomial, exponential, logarithmic and trigonometric functions. Graphical, numerical and analytical solutions to applied problems involving derivatives. Introduction to the integral.
Prerequisites: MATH 1163 or equivalent, and passing score on the university mathematics placement examination.

MATH 2024 - Calculus II

Definite and indefinite integrals of functions of a single variable. Improper integrals. Infinite series. Introduction to differential equations. Emphasis on applications of calculus and problem solving using technology in addition to symbolic methods. .
Prerequisite: MATH 2014

MATH 2073 - Calculus III

CContinuation of Math 2024. Vector geometry and calculus. Functions of several variables. Partial and directional derivatives. Double and triple integrals. Line and surface integrals. Divergence. Green?s theorems.
Prerequisite: MATH 2024

STAT 2013 - Introduction to Statistics

A first course in statistics stressing statistical concepts and interpretation of results. Topics include data description, elementary probability, sampling, inference, simple regression, and correlation and analysis of variance.
Prerequisite: Satisfactory completion of the university mathematics requirement.
No credit for Engineering and Natural Sciences students.

MATH 3013 - Discrete Mathematics

Theory and applications of mathematical models fundamental to the analysis of discrete problems. Introduction to set theory, relations, and functions. Principles of counting and other combinatorial problems. Introduction to graph theory and its application to algorithm analysis. Formal logic, methods of proof, and correctness of algorithms. Recursion and recursive definitions.
Prerequisite: MATH 2024 or permission of instructor
Same as CS 3013

MATH 3033 - Fundamentals of Modern Mathematics

Introduction to mathematical logic, sets, relations, functions, and cardinality. Introduction to theorem proving.
Prerequisite: MATH 2024

MATH 3063 - Introduction to Number Theory

Divisibility. Congruences. Residues. Diophantine equations. Combinatoric and number theoretic functions. Inversion. Prime numbers. Applications to cryptography, pseudo random numbers, and science.
Prerequisites: MATH 3033

MATH 3073 - Differential Equations

First, second, and higher order equations. Operators. Linear algebra. Systems of differential equations. Applications to science and engineering, and numerical solutions.
Prerequisite: MATH 2024

MATH 3513 - Higher Geometry

Topics in Euclidean and Non-Euclidean Geometry. Recommended for prospective secondary math teachers.
Prerequisites: MATH 3033

MATH 3553 - Modern Algebra

A basic introduction to the axiomatic method and construction of proofs. The core ideas include groups, rings, and fields.
Prerequisite: MATH 3033 or permission of instructor

MATH 3971 - Seminar in Mathematics

Offered to selected students who show promise of advanced work at the undergraduate level. Topics leading to a deeper understanding of basic college mathematics will be considered.
Prerequisite: Permission of Instructor

STAT 3813 - Statistical Methods for Scientists and Engineers

Elementary probability, random variables and distributions, tests of significance, test of hypotheses, elementary experimental design, simple regression, and correlation.
Prerequisite: MATH 2014

MATH 4003 - Advanced Calculus I

Rigorous review of elementary calculus. The real number system. Continuous functions. Taylor?s formula. Infinite series. Convergence criteria.
Prerequisites: MATH 3033 and MATH 3073

MATH 4013 - Advanced Calculus II

Coordinate transformations. Vectors. Multiple integrals. Green?s theorem. Theory of integration. Fourier series.
Prerequisite: MATH 4003

MATH 4053 - Differential Geometry

The geometry of curves and surfaces from a modern point of view. Frenet frames, curvature, fundamental forms, invariants, applications to architecture and engineering.
Prerequisites: MATH 2073, MATH 3033 or permission of instructor

MATH 4083 - Introduction to Topology

Introduction to point-set topology. Sets. Cartesian products. Relations. Mappings. Sequences. Topological spaces. Metric spaces.
Prerequisite: MATH 3033

MATH 4123 - Linear Algebra and Matrix Theory

Systems of linear equations. Eigenvalues and eigenvectors. Finite dimensional vector spaces. Linear transformations with applications. Numerical solutions of systems of linear equations.
Prerequisite: MATH 2024

MATH 4133 - Introduction to Complex Functions

Algebra of complex numbers. Properties of complex functions. Derivatives. Complex integrals. Cauchy?s integral formula. Conformal mapping with applications to potential theory.
Prerequisite: MATH 2073

MATH 4143 - Introduction to Partial Differential Equations

Fourier series. Sturm-Liouville problems. The heat, Laplace, and wave equations. Separation of variables. Eigenfunction expansion. Fourier and Laplace transformations. Green?s functions. Canonical forms of second-order linear equations. Method of characteristics. Asymptotic expansion techniques.
Prerequisite: MATH 3073

MATH 4213 - Mathematical Modeling

The process of construction, analysis, and validation of mathematical models for continuous and discrete problems based on concrete examples. Projects are required.
Prerequisite: MATH 3073

MATH 4333 - Teaching Methods for Mathematics

Methods for teaching problem-solving. Study of the National Council of Teachers of Mathematics professional, curriculum, and evaluation standards. Required for prospective teachers of secondary mathematics.
Prerequisite: MATH 2014 or permission of instructor

MATH 4353 - History of Mathematics

Overview of the history of mathematics from ancient Egypt to the present. Appropriate for undergraduate math and math education majors as well as students working toward master?s degrees in math/science education.
Prerequisite: MATH 2014

MATH 4373 - Mathematical Concepts and Reasoning

Topics in mathematics relevant to the teaching of mathematics in elementary and middle schools, including geometry, logic, mathematical problem solving, and use of technology in the teaching of mathematics. This is the capstone mathematics course for elementary education majors.
Prerequisites: MATH 1053, MATH 1083, STAT 2013 and junior standing.

MATH 4503 - Introduction to Numerical Methods

Error analysis of computer arithmetic. Solution of nonlinear equations. Roots of polynomials. Interpolation and approximation methods. Numerical differentiation and integration. Initial value problems for ordinary differential equations.
Prerequisites: MATH 2073, familiarity with Mathematica or consent of instructor.

MATH 4533 - Scientific Software Environments

Selected case studies from science and engineering are used to discuss the interplay of mathematical modeling, scientific computing, and the applied sciences and engineering. Issues of high performance architecture, software engineering methodology for large scale codes, and visualization of large data sets are discussed.
Prerequisites: MATH 3073 and either CS 2503 or CS 2003
Same as CS 4533

MATH 4703 - Numerical Methods for Initial and Boundary Value Problems

Basic numerical methods for solving initial value problems and boundary value problems for differential equations arising in science and engineering are studied. Finite difference methods for elliptic, parabolic, and hyperbolic partial differential equations are emphasized. An introduction to the mathematics and use of the finite element method is included.
Prerequisites: MATH 2073, CS 4503 or consent of instructor
Math 3073 and Math 4143 are recommended but not essential, provided that the student has had exposure to ordinary and partial differential equations in applications or previous courses. Familiarity with the computer algebra system Mathematica is recommended

MATH 4863 - Special Topics in Mathematics


MATH 4871-3 - Research and Mathematical Literature


MATH 4983 - Senior Thesis

Each student investigates a mathematical topic not covered by his or her previous undergraduate work. Submission of a written thesis and an oral presentation is required.
Prerequisites: Senior standing and departmental approval

MATH 4991-3 - Independent Study

Independent or group studies on special topics.
Prerequisite: Permission

MATH 5013 - Advanced Mathematical Modeling

The process of construction, analysis, and validation of dynamic and discrete mathematical models for the physical sciences. Computer implementation and subsequent assessment of mathematical models. Intro¬duc¬tion to the Mathematica programming environment.
Prerequisites: MATH 3073, MATH 4123 or consent of instructor.

MATH 5023 - Discrete Modeling

An introduction to the application of discrete mathematical models to the social, behavioral, biological, environmental, and physical sciences. Special emphasis will be placed on graph models and optimization strategies applied to engineering problems in communication and transportation.
Prerequisites: Graduate standing.

MATH 5103 - Advanced Differential Equations

Series solution techniques. Dimensional analysis. Calculus of variations. Perturbation methods for ordinary and partial differential equations. Integral equations. Elements of distribution theory. Nonlinear waves. Population dynamics.
Prerequisites: MATH 3073

MATH 5243 - Computational Linear Algebra

Computational techniques for the solution of systems of linear and non-linear algebraic equations. Emphasis on the intelligent use of existing software packages. Laboratory exercises using matrix-based computational environments required.
Prerequisites: MATH 4123

MATH 5243 - Numerical Optimization

An introduction to numerical techniques for unconstrained and constrained optimization. Applications to nonlinear regression and science and engineering problems.

MATH 5273 - Numerical Differential Equations

Numerical analysis of engineering and scientific problems with special emphasis on discrete techniques for ordinary and partial differential equations, and on problem formulation and solution.
Prerequisites: MATH 3073, familitarity with Mathematica, or consent of instructor.

MATH 5283 - Applied Function Analysis

Metric spaces. The fixed point theorem and its application to linear algebraic systems, differential equations, and integral equations. Normed spaces. Inner product spaces. Operators on abstract spaces. Approximation theory.

MATH 5353 - Discrete and Integral Transforms

Fourier, Laplace, Wavelet and other discrete and continuous transforms with applications to the analytic solution of partial differential equations, data compression, image processing and filtering.

MATH 5503 - Stochastic Simulation and Queuing

Random number generation and stochastic simulation with applications.
Prerequisite: STAT 3813, STAT 4413, or consent of instructor.

MATH 5533 - Applied Regression

Methods for fitting deterministic models to data in the presence of noise. Least squares. Statistical analysis. Empirical response. Surface optimization in the presence of noise. Nonlinear models.
Prerequisite: STAT 3813

MATH 5863 - Special Topics in Mathematics


MATH 5913 - Group Report

Students work in groups to analyze a realistic industrial problem using the complete modeling paradigm. Problem identification and analysis, model development, model solution method and implementation, solution assessment and evaluation. Group reports, presentation, and documentation.

STAT 2013 - Introduction to Statistics

Topics include data description, elementary probability, sampling, inference, simple regression, and correlation and analysis of variance. Satisfactory completion of the university mathematics requirement.
Prerequisite: Satisfactory completion of the university mathematics requirement.

STAT 3813 - Statistical Methods for Scientists and Engineers

Elementary probability. Random variables and distributions. Tests of significance. Test of hypotheses. Elementary experimental design. Simple regression. Correlation.
Prerequisite: MATH 2014

STAT 4413 - Probability

Introduction to probability theory. Probability spaces. Random variables. Distribution functions. Expectation. Conditional probability. Conditional expectation.
Prerequisite: MATH 2073

STAT 4861-3 - Selected Topics in Probability and Statistics

May be repeated for credit.
Prerequisite: Permission of instructor

STAT 4871-3 - Research and Statistics Literature


STAT 4991-3 - Independent Study

Independent or group studies on special topics.
Prerequisite: Permission