Department of Mathematical Sciences

The Department of Mathematical Sciences offers programs of study for students interested in mathematics, mathematics education or statistics.  The department is dedicated to providing students with excellent instruction that incorporates innovative instructional techniques and technologies.  In their roles as teacher-scholars, the faculty maintains consistent and significant productivity, recognized at regional, national, and international levels, in basic research, applications, and pedagogy.  The department is strengthened by the extensive service activities of the faculty on campus and in the community as well as through high-profile service to the profession.  In addition, the department provides many areas for student involvement, including an active student organization and student competition teams.

Mathematical Sciences Majors

Mathematical Sciences Minor

MATH   0091   Algebra Lab

1 Credit Hour.   1 Lecture Hour.   0 Lab Hours.

Provides additional instruction on selected topics from MATH   1111 and is open to all students. MATH   0091 is a required course for any student who makes below a C in MATH   1111. Students required to take MATH   0091 must take it concurrently with MATH   1111 until they make at least a C in MATH   1111. Topics covered include a study of functions equations, graphing, and operations with polynomial, rational, and radical expressions. Also included are appropriate study skills and the use of technology.

MATH   0989   Foundations for College Algebra

4 Credit Hours.   4 Lecture Hours.   0 Lab Hours.

This course is designed for students who are not prepared to enter a college core curriculum mathematics course. MATH   0989 consists of a study of exponents, polynomials, equations, inequalities, functions and graphs, rational expressions, and radicals. Students will be placed in MATH   0989 based on their Mathematics Placement Index (MPI) score. Students will be allowed a maximum of 2 semesters to meet exit requirements for MATH   0989. Audit or institutional credit only.

MATH   0998   Support for Mathematical Modeling

1 Credit Hour.   0 Lecture Hours.   2 Lab Hours.

This course is designed to provide students with mathematics deficiencies “just-in-time” support while they take MATH   1101-Mathematical Modeling. This course will supplement the content of MATH   1101 with the intent of filling the gaps in the students’ mathematical knowledge that is necessary to be successful in the course. Students will be placed in MATH   0998 based on their Mathematics Placement Index (MPI) score. Audit or institutional credit only.

Corequisite(s): MATH   1101.

MATH   0999   Support for College Algebra

1 Credit Hour.   0 Lecture Hours.   2 Lab Hours.

This course is designed to provide students with mathematics deficiencies “just-in-time” support while they take MATH   1111- College Algebra. This course will supplement the content of MATH   1111 with the intent of filling the gaps in the students’ mathematical knowledge that is necessary to be successful in the course. Students will be placed in MATH   0999 based on their Mathematics Placement Index (MPI) score. Audit or institutional credit only.

Corequisite(s): MATH   1111.

MATH   1101   Introduction to Mathematical Modeling

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Mathematical modeling using graphical, numerical, symbolic, and verbal techniques to describe and explore real-world data and phenomena. The investigation and analysis of applied problems and questions, and effective communication of quantitative concepts and results. Topics include linear, quadratic, polynomial, exponential and logarithmic models of real-world phenomena. Credit cannot be earned toward graduation for MATH   1111 if credit is earned for MATH   1101.

Prerequisite(s): Two years of high school algebra or equivalent.

MATH   1111   College Algebra

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

This course provides an in-depth study of the properties of algebraic, exponential and logarithmic functions as needed for calculus. Emphasis is on using algebraic and graphical techniques for solving problems involving linear, quadratic, piece­wise defined, rational, polynomial, exponential, and logarithmic functions. Credit cannot be earned toward graduation for MATH   1101 if credit is earned for MATH   1111.

Prerequisite(s): Two years of high school algebra or equivalent.

MATH   1112   College Trigonometry

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

This course is an in-depth study of the properties of trigonometric functions and their inverses. Topics include circular functions, special angles, solutions of triangles, trigonometric identities and equations, graphs of trigonometric functions, inverse trigonometric functions and their graphs, Law of Sines, Law of Cosines, and vectors. Credit may not be received for both MATH   1112 and MATH   1113.

Prerequisite(s): A minimum grade of "C" in MATH   1111.

MATH   1113   Pre-Calculus

3,4 Credit Hours.   3,4 Lecture Hours.   0 Lab Hours.

This course is an intensive study of the basic functions needed for the study of calculus. Topics include algebraic, functional, and graphical techniques for solving problems with algebraic, exponential, logarithmic, and trigonometric functions and their inverses. Credit cannot be earned toward graduation for MATH   1112 if credit is earned for MATH   1113.

Prerequisite(s): MATH   1111 with a minimum grade of "C".

MATH   1232   Survey of Calculus

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Covers the fundamental elements of differential and integral calculus of algebraic, logarithmic and exponential functions. Topics include a brief review of algebraic principles, limits, derivatives and integrals. Appropriate technology will be incorporated throughout the course.

Prerequisite(s): A minimum grade of "C" in MATH   1101 or MATH   1111 or MATH   1113 or MATH   1112.

MATH   1401   Intro to Statistics

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

The course is a course in basic statistics. Topics include descriptive statistics, probability, distributions, hypothesis testing, inferences, correlation, and regression.

MATH   1441   Calculus I

0,4 Credit Hours.   0,4 Lecture Hours.   0,1 Lab Hours.

This is the first of a sequence of courses which present a unified treatment of the differential and integral calculus. Topics include: limits, continuity, differentiation and integration, applications of the derivative and the integral.

Prerequisite(s): A minimum grade of "C" in MATH   1112 or MATH   1113.

Cross Listing(s): MATH   1441H.

MATH   1441H   Calculus I

4 Credit Hours.   4 Lecture Hours.   1 Lab Hour.

This is the first of a sequence of courses which presents a unified treatment of the differential and integral calculus. Topics include: limits, continuity, differentiation and integration, applications of the derivative and the integral.

Prerequisite(s): A minimum grade of "C" in MATH   1112 or MATH   1113.

Cross Listing(s): MATH   1441.

MATH   1501   Calculus I

0,4 Credit Hours.   0,4 Lecture Hours.   0,1 Lab Hours.

Topics to include functions, limits, continuity, the derivative, antifirrerentiation, the definite integral, and applications.

MATH   2008   Foundations of Numbers and Operations

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

This course is an Area F introductory course for early childhood education majors. This course will emphasize the understanding and use of the major concepts of numbers and operations. As a general theme, strategies of problem solving will be used and discussed in the context of various topics. This course is also part of the program of study for middle grade majors.

Prerequisite(s): A minimum grade of "C" in MATH   1111 or MATH   1101.

Cross Listing(s): MATH   2008H.

MATH   2008H   Foundations of Numbers and Operations Honors

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

This course is an Area F introductory course for early childhood education majors. This course will emphasize the understanding and use of the major concepts of numbers and operations. As a general theme, strategies of problem solving will be used and discussed in the context of various topics. This course is also part of the program of study for middle grade majors.

Prerequisite(s): A minimum grade of "C" in MATH   1111 or MATH   1101.

Cross Listing(s): MATH   2008.

MATH   2010   Problem Solving for K-8 Teachers

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Students will learn, integrate and apply a variety of problem solving strategies to a range of mathematical problems from algebra, precalculus, and calculus. Students will learn, integrate and apply appropriate technology as a tool in the problem solving process. Designed for early childhood and middle grade majors.

Prerequisite(s): A minimum grade of "C" in MATH   1112 and MATH   3032.

MATH   2130   Discrete Mathematics

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Covers important discrete mathematical objects such as sets, relations and functions, graphs and trees. An introduction to mathematical logic and reasoning, and the concept of an algorithm and its complexity will be covered.

Prerequisite(s): MATH   1111 or MATH   1113 or MATH   1232 or MATH   1441 or MATH   1112 or MATH   2242, with a minimum grade of "C".

MATH   2242   Calculus II

4 Credit Hours.   4 Lecture Hours.   1 Lab Hour.

Includes an introduction to transcendental functions, techniques of integration, improper integrals, infinite series and conics.

Prerequisite(s): MATH   1441, with a minimum grade of "C".

Cross Listing(s): MATH   2242H.

MATH   2242H   Calculus II

4 Credit Hours.   4 Lecture Hours.   1 Lab Hour.

Includes an introduction to transcendental functions, techniques of integration, improper integrals, infinite series and conics.

Prerequisite(s): MATH   1441, with a minimum grade of "C".

Cross Listing(s): MATH   2242.

MATH   2243   Calculus III

4 Credit Hours.   4 Lecture Hours.   0 Lab Hours.

Topics in real valued functions of several variables. Topics include polar coordinates, parametric equations, vectors in two and three dimensions, quadric surfaces, partial derivatives and applications, multiple integrals and applications, line integrals and Stoke's and Green's theorem.

Prerequisite(s): A minimum grade of "C" in MATH   2242.

Cross Listing(s): MATH   2243H.

MATH   2243H   Calculus III

4 Credit Hours.   4 Lecture Hours.   0 Lab Hours.

Topics in real valued functions of several variables. Topics include polar coordinates, parametric equations, vectors in two and three dimensions, quadric surfaces, partial derivatives and applications, multiple integrals and applications, line integrals and Stoke's and Green's theorem

Prerequisite(s): A minimum grade of "C" in MATH   2242.

Cross Listing(s): MATH   2243.

MATH   2331   Elementary Linear Algebra

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Matrices, solutions of linear systems, vector spaces and subspaces, orthogonality, determinants, eigenvalues and eigenvectors, linear transformation, diagonalization, and applications.

Prerequisite(s): A minimum grade of "C" in MATH   1441.

MATH   2332   Mathematical Structures

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Topics include mathematical logic, methods of proofs, induction, set theory, relations, and functions. The course is primarily intended for mathematics and mathematics education majors as a first course in studying proof techniques and foundations of mathematics.

Prerequisite(s): A minimum grade of "C" in MATH   1441.

MATH   2430   Computing Techniques

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Fundamentals of numerical methods and development of programming techniques with implementation in the computer solution of problems in engineering.

Prerequisite(s): CSCI   1301 or ENGR   1731 and MATH   2242 and PHYS   2211.

Corequisite(s): MATH   3230.

MATH   3032   Foundations of Data Analysis and Geometry

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

A study of basic probability, statistics and geometry, including two and three dimensional shapes and triangle congruenced similarity. For Early Childhood and Middle Grade majors only.

Prerequisite(s): MATH   2008 with a minimum grade of "C".

MATH   3130   College Geometry

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

A study of absolute and Euclidean geometry.

Prerequisite(s): MATH   2332 with a minimum grade of "C".

MATH   3230   Ordinary Differential Equations

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

The study of differential equations involving functions of one variable. Topics include: linear and non-linear differential equations, initial value problems, existence and uniqueness theorems, systems of differential equations, stability, computational methods and Laplace transform methods.

Prerequisite(s): A minimum grade of "C" in MATH   2242.

Cross Listing(s): MATH   3230H.

MATH   3230H   Ordinary Differential Equations

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

The study of differential equations involving functions of one variable. Topics include: linear and non-linear differential equations, initial value problems, existence and uniqueness theorems, systems of differential equations, stability, computational methods and Laplace transform methods.

Prerequisite(s): A minimum grade of "C" in MATH   2242.

Cross Listing(s): MATH   3230.

MATH   3337   Probability

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

An introduction to probability, random variables and discrete and continuous probability distributions for students in mathematics, engineering and the sciences including the social sciences and management science.

Prerequisite(s): MATH   2242, with a minimum grade of "C".

MATH   4630   Game Theory

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

This course is designed to introduce students to the foundations of game theory and its applications. Students will use reasoning skills to deal with concepts of games, networks, economic development, and warfare.

Prerequisite(s): MATH   2331 and MATH   2130 or MATH   2332, with a minimum grade of "C".

MATH   4825H   Honors Research

2 Credit Hours.   2 Lecture Hours.   0 Lab Hours.

Independent research under the guidance of a faculty member in the Department of Mathematical Sciences for mathematics majors in the University Honors Program. Students must complete four credit hours over two semesters to complete the honors requirements.

Prerequisite(s): Requires Junior status in Mathematics Program and good standing in the University Honors Program.

MATH   4890   Directed Study in Mathematics

1-3 Credit Hours.   0 Lecture Hours.   0 Lab Hours.

Directed study under faculty supervision. Well prepared math majors may be permitted to enroll in an independent study upon the recommendation of a Mathematics faculty member.

Prerequisite(s): Permission of instructor and Department Chair required.

MATH   4920   Undergraduate Seminar

2 Credit Hours.   2 Lecture Hours.   0 Lab Hours.

A specialized study of various topics in mathematics with the intention to engage students in independent reading, writing and presentation of these topics under the supervision of mathematics faculty.

Prerequisite(s): MATH   2332 and MATH   2243, with a minimum grade of "C".

MATH   4929H   Honors Thesis

2 Credit Hours.   0 Lecture Hours.   0 Lab Hours.

Written and oral presentation of results of research conducted in MATH   4825H (Honors Research). Honors thesis must follow the guidelines adopted by the University Honors Program. This course is required for mathematics majors in the University Honors Program.

Prerequisite(s): A minimum grade of "C" in MATH   4825H; Junior level or above, and good standing in the University Honors Program.

MATH   4930   Senior Research Project

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Main objective of this course is to engage senior undergraduate students in mathematical, statistical or computer science research and writing. Students will select advisors to work with on their projects. At least one oral presentation on the progress of their research during the semester is required. Also, a final written report on the project as well as a final oral presentation is required.

Prerequisite(s): Students must have at least 15 credit hours of upper level mathematics, statistics and/or computer science.

MATH   5090   Selected Topics in Mathematics

1-3 Credit Hours.   1-3 Lecture Hours.   0-2 Lab Hours.

Specialized study in a selected area of Mathematics.

Prerequisite(s): Permission of instructor required.

Cross Listing(s): MATH   5090G.

MATH   5130   Statistics and Probability for K-8 Teachers

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

An in-depth study of topics in statistics, such as sampling and data analysis, and probability, such as counting methods, odds, and expected value. For Early Childhood and Middle Grade majors only.

Prerequisite(s): A minimum grade of "C" in MATH   3032.

Cross Listing(s): MATH   5130G.

MATH   5135   Algebraic Connections for K-8 Teachers

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

The evolution of algebraic concepts through the curriculum will be followed by how algebra is related to other areas of mathematics and real-world applications. For Early Childhood and Middle Grade majors only.

Prerequisite(s): A minimum grade of "C" in MATH   3032.

Cross Listing(s): MATH   5135G.

MATH   5136   History of Mathematics

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

A survey of the historical development of mathematics. The emphasis will be on mathematical concepts, problem solving, and pedagogy from a historical perspective.

Prerequisite(s): A minimum grade of "C" in MATH   2242.

Cross Listing(s): MATH   5136G.

MATH   5137   Geometry for K-8 Teachers

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

A continuation of the study of geometry from MATH   3032. Focus will be on two and three dimensional geometry. Motion geometry and tessellations will also be covered. For Early Childhood and Middle Grade majors only.

Prerequisite(s): A minimum grade of "C" in MATH   3032.

Cross Listing(s): MATH   5137G.

MATH   5180   Math for Middle School Teacher

3 Credit Hours.   0 Lecture Hours.   0 Lab Hours.

MATH   5190   Algebra and Geometry Teach

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

MATH   5230   Advanced Geometry

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Selected topics from Euclidean and Non-Euclidean Geometry.

Prerequisite(s): A minimum grade of "C" in MATH   3130 or one year of teaching high school mathematics.

Cross Listing(s): MATH   5230G.

MATH   5232   Mathematical Applications Using Technology

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Selected mathematical topics used in research, problem solving, and demonstrations will be investigated with the use of current technologies. Intended for mathematics education majors.

Prerequisite(s): A minimum grade of "C" in MATH   2243 and 3 hours of mathematics in the junior level or above.

Cross Listing(s): MATH   5232G.

MATH   5234   Number Theory

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Introduction to the principal ideas of elementary number theory: Divisibility, congruencies, linear Diophantine Equations, Fermat's Theorem, Euler's Theorem, Pythagorean triples and the distribution of primes.

Prerequisite(s): A minimum grade of "C" in MATH   2332.

Cross Listing(s): MATH   5234G, MATH   5234H.

MATH   5234H   Number Theory Honors

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Introduction to the principal ideas of elementary number theory: Divisibility, congruencies, linear Diophantine Equations, Fermat's Theorem, Euler's Theorem, Pythagorean triples and the distribution of primes.

Prerequisite(s): MATH   2332 with a minimum grade of "C".

Cross Listing(s): MATH   5234.

MATH   5236   Patterns of Problem Solving

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

A study of patterns involved in solving problems. Particular attention is paid to Polya's heuristics and his characterization of the problem solving process. The student will also solve many problems. The application of these techniques by mathematics teachers will be stressed.

Prerequisite(s): A minimum grade of "C" in MATH   1441 or permission of instructor.

Cross Listing(s):MATH   5236G.

MATH   5330   Operations Research

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Introduction to basic deterministic and probabilistic operations research models of decision problems. Mathematical methods of optimization for these models will be analyzed both analytically and numerically.

Prerequisite(s): A minimum grade of "C" in MATH   2331 and MATH   3337.

Cross Listing(s): MATH   5330G.

MATH   5331   Analysis I

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Provides a transition from calculus to real analysis. Emphasis will be placed on understanding and constructing mathematical proofs. Rigorous development of fundamental concepts in analysis, including topics such as relations, functions, limits of functions, cardinality, topology of the reals, completeness axiom, compact sets, sequences, subsequence, continuity and differentiability.

Prerequisite(s): A minimum grade of "C" in MATH   2243 and MATH   2332.

Cross Listing(s): MATH   5331G.

MATH   5332   Analysis II

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

A continuation of Analysis I, including topics such as Riemann integration, infinite series, sequences and series of functions, metric spaces, and normed spaces.

Prerequisite(s): A minimum grade of "C" in MATH   5331 or MATH   5331G.

Cross Listing(s): MATH   5332G.

MATH   5333   Modern Algebra I

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

This course is an introduction to the fundamental algebraic structures: groups, rings and fields. Topics covered include: binary operations, groups (permutation groups, subgroups, cyclic groups, group homomorphisms, factor groups), rings (integral domains, ring homomorphisms) and fields. The historical and mathematical connections to the secondary mathematics curriculum will be incorporated as appropriate.

Prerequisite(s): A minimum grade of "C" in MATH   2332.

Cross Listing(s): MATH   5333G.

MATH   5334   Modern Algebra II

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

A continuation of the study of the fundamental algebraic structures. Topics to be covered include: isomorphism of groups, rings, fields, a deeper study of quotient structures and the isomorphism theorems, field of quotients, factorization of polynomials over a field, arithmetic properties of rings of polynomials over fields, extension fields, algebraic extensions, geometric constructions and the classic problems.

Prerequisite(s): A minimum grade of "C" in MATH   5333 or MATH   5333G.

Cross Listing(s): MATH   5334G.

MATH   5335   Intermediate Linear Algebra

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

General vector spaces and bases, linear operators, least squares problems, eigenvalue problems, and applications of these concepts.

Prerequisite(s): A minimum grade of "C" in MATH   2331 and MATH   2332.

Cross Listing(s): MATH   5335G.

MATH   5336   Applied Numerical Methods

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Introduction to scientific computation. Solutions of linear and nonlinear equations, polynomial interpolation, numerical differentiation and integration, data fitting, and other numerical methods.

Prerequisite(s): A minimum grade of "C" in MATH   2331 and prior knowledge of a programming language.

Cross Listing(s): MATH   5336G.

MATH   5337   Difference Equations

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

This course is an introduction to the theory and applications of difference equations. Topics include the difference calculus, first order linear difference equations, results and solutions of linear equations, applications, equations with variable coefficients and nonlinear equations that can be linearized.

Prerequisite(s): A minimum grade of "C" in MATH   2242 and MATH   2331. Cross Listing(s): MATH   5337G.

MATH   5338   Methods of Applied Mathematics

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Methods of applied mathematics concentrating on techniques for the analysis of differential and integral equations. Topics include: Integral equations, differential operators, Fredholm alternative, distribution theory and Green's function methods.

Prerequisite(s): A minimum grade of "C" in MATH   2331 and MATH   3230.

Cross Listing(s): MATH   5338G.

MATH   5339   Partial Differential Equations

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

The study of differential equations involving functions of more than one variable. Topics include: Laplace, heat and wave equations, boundary value problems, methods of separation of variables and eigenfunction expansions, Fourier series, Green's functions, maximum principle and computational methods.

Prerequisite(s): A minimum grade of "C" in MATH   2243 and MATH   3230.

Cross Listing(s): MATH   5339G.

MATH   5430   Introduction to Mathematical Biology

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

An introduction to applications of mathematics to various biological, ecological, physiological, and medical problems, which will be analyzed both analytically and numerically.

Prerequisite(s): A minimum grade of "C" in MATH   3230.

Cross Listing(s): MATH   5430G.

MATH   5431   Combinatorics and Graph Theory

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

The course covers basic theory and applications of combinatorics and graph theory. Combinatorics is a study of different enumeration techniques of finite but large sets. Topics that will be studied include principle of inclusion and exclusion, generating functions and methods to solve difference equations. Graph theory is a study of graphs, trees and networks. Topics that will be discussed include Euler formula, Hamilton paths, planar graphs and coloring problem; the use of trees in sorting and prefix codes; and useful algorithms on networks such as shortest path algorithm, minimal spanning tree algorithm and min-flow max-cut algorithm.

Prerequisite(s): A minimum grade of "C" in MATH   2332 and MATH   3337.

Cross Listing(s): MATH   5431G.

MATH   5433   Differential Geometry of Curves and Surfaces

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Differential geometry uses tools from calculus and linear algebra to study the geometric properties of smooth curves and surfaces in Euclidean spaces. Topics include: arc length surface area, geodesics, curvature, first and second fundamental forms, Gauss-Bonnett formula.

Prerequisite(s): A minimum grade of "C" in MATH   2243 and MATH   2331.

Cross Listing(s): MATH   5433G.

MATH   5434   Functions of a Complex Variable

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Topics in complex variables including functions, limits, derivatives, integrals, the Cauchy-Riemann conditions, series representation of functions, Cauchy Integral formula, and elementary conformal mappings.

Prerequisite(s): A minimum grade of "C" in MATH   2332.

Cross Listing(s): MATH   5434G.

MATH   5435   Introduction to Topology

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

An introduction to metric spaces, topological spaces, connectedness and compactness of topological spaces, and continuous functions on topological spaces.

Prerequisite(s): A minimum grade of "C" in MATH   2332.

Cross Listing(s): MATH   5435G.

MATH   5436   Introduction to Fractals

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

Fractals as nonlinear systems involving feedback and iteration. Classical fractals, limits and self-similarity. Fractal dimensions. Encoding of fractals. Decoding of fractals. Iterated function systems.

Prerequisite(s): A minimum grade of "C" in MATH   5331 or MATH   5331G.

Cross Listing(s): MATH   5436G.

MATH   5437   Mathematics and Computation of Curves and Surfaces

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

This course is a study of the mathematical and computational techniques used for the computer generation of curves and surfaces. The primary representations for the curves and surfaces are univariate and multivariate polynomials and splines in the Bernstein/Bezier and B-spline bases. These curves and surfaces are used for data fitting (interpolation and smoothing) and approximation. Topics include: recursion, smoothness, surfaces over grids, surfaces over triangulations, simplex and box splines, variational curves and surfaces, transformations and projections.

Prerequisite(s): A minimum grade of "C" in MATH   2243 and MATH   2331.

Cross Listing(s): MATH   5437G.

MATH   5530   Mathematics for Scientists and Engineers

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

A survey of mathematical topics useful in the study of areas of applied sciences such as physics, engineering and computer science. Topics include: linear algebra and matrices, ordinary differential equations, partial differential equations, Fourier series, vector calculus, complex variables, numerical methods, probability and graph theory. For non-math majors only.

Prerequisite(s): A minimum grade of "C" in MATH   2242.

Cross Listing(s): MATH   5530G.

MATH   5539   Mathematical Models

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

This course introduces students to a variety of mathematical tools used for solving real world problems, with the focus on identifying the problem, constructing an appropriate model, and finding the best available method to solve it.

Prerequisite(s): A minimum grade of "C" in MATH   2331 and MATH   3230.

Cross Listing(s): MATH   5539G.

STAT   2231   Introduction to Statistics I

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

An introductory statistics course which covers descriptive statistics, probability, random variables and selected probability distributions, statistical inference including confidence intervals and hypothesis tests. Appropriate technology will be used for simulation and to solve statistical problems. Neither a background in calculus nor experience with computers is required.

Prerequisite(s): A minimum grade of "C" in MATH   1101, MATH   1111, MATH   1112, MATH   1113, MATH   1232, MATH   1441.

Cross Listing(s): STAT   2231H.

STAT   2231H   Introduction to Statistics I

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

An introductory statistics course which covers descriptive statistics, probability, random variables and selected probability distributions, statistical inference including confidence intervals and hypothesis tests. Appropriate technology will be used for simulation and to solve statistical problems. Neither a background in calculus nor experience with computers is required.

Prerequisite(s): A minimum grade of "C" in MATH   1101, MATH   1111, MATH   1112, MATH   1113, MATH   1232, MATH   1441, MATH   1441H.

Cross Listing(s): STAT   2231.

STAT   2232   Introduction to Statistics II

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

A continuation of STAT   2231. The focus is on inferential procedures to compare the same characteristic between two or more populations and inferential procedures to investigate the relationship between two or more variables from the same population. Topics include tests of association, regression, correlation, and analysis of variance. The statistical software package SPSS is used.

Prerequisite(s): STAT   2231 with a minimum grade of "C".

STAT   3130   Applied Statistics

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

An introductory course in applied statistics for students in the natural sciences, social sciences, health and professional studies, technology, and business. The material covered will provide an introduction to statistical concepts and terminology while focusing on descriptive and inferential methods of data analysis. Both parametric and nonparametric methods are presented for the analysis of central tendency, variability, proportions, and categorical data. Topics covered also include regression and correlation.

Prerequisite(s): MATH   1111.

STAT   4090   Selected Topics in Statistics

1-3 Credit Hours.   1-3 Lecture Hours.   0-2 Lab Hours.

Specialized study in a selected area of Statistics.

Prerequisite(s): Permission of instructor required.

STAT   4890   Directed Study in Statistics

1-3 Credit Hours.   1-3 Lecture Hours.   0-2 Lab Hours.

Directed study under faculty supervision. Well-prepared statistics students may be permitted to enroll in an independent study upon the recommendation of a Statistics faculty member.

Prerequisite(s): Permission of instructor and Department Chair required.

STAT   5130   Sampling and Survey Methods

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

An introduction to the design and analysis of sample surveys suitable for students in business, social sciences, and biological sciences in addition to the mathematical sciences. Comparison of simple random sampling, stratified, systemic, cluster and multistage sampling. Emphasis on appropriate sample type and estimation of parameters.

Prerequisite(s): STAT   2231 with a minimum grade of "C".

Cross Listing(s): STAT   5130G.

STAT   5330   Introduction to Mathematical Statistics

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

An introductory course intended to present a solid foundation in statistical theory, and, at the same time, to provide an indication of the relevance and importance of the theory in solving practical problems in the real world. Topics include, moments and moment-generating functions, point and interval estimation, test of statistical hypothesis, contingency tables and goodness-of-fit, nonparametric methods, and introduction to linear models. This course covers part of the material outlined in the Society of Actuaries' course 110.

Prerequisite(s): MATH   3337 with a minimum grade of "C".

Cross Listing(s): STAT   5330G.

STAT   5531   Statistical Methods I

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

This is the first of a two course sequence in applied statistics. The material covered will provide an introduction to statistical concepts and terminology while focusing on descriptive and inferential methods of data analysis. Topics include descriptive statistics, parameter estimation, tests of significance, confidence intervals, analysis of variance, simple linear regression and correlation, and resampling methods including bootstrapping. Both parametric and nonparametric methods are presented for the analysis of central tendency, variability, proportions and categorical data.

Prerequisite(s): A minimum grade of "C" in MATH   3337.

Cross Listing(s): STAT   5531G.

STAT   5532   Statistical Methods II

3 Credit Hours.   3 Lecture Hours.   0 Lab Hours.

This is the second of a two course sequence in applied statistics. The material covered will provide an introduction to the ideas of linear models and experimental design while focusing on methods of data analysis using regression and analysis of variance. Topics include multiple regression analysis, analysis of variance with multiple classification, analysis of covariance, repeated measures analysis of variance, multiple comparison techniques, and diagnostic procedures and transformations. Suitable for students in business administration, economics, and the social, health and biological sciences.

Prerequisite(s): A minimum grade of "C" in STAT   5531.

Cross Listing(s): STAT   5532G.

Chair(s): SHARON E. TAYLOR

Professor(s): MARTHA L. ABELL, CHARLES W. CHAMP, RICHARD J. HATHAWAY (Emeritus), JAIMIE L. HEBERT, ALINA IACOB, GORAN LESAJA, XIEZHANG LI, SZE-MAN NGAI, BRODERICK O. OLUYEDE, JIMMY L. SOLOMON (Emeritus), SHARON E. TAYLOR, HUA WANG, YAN WU, CHUNSHAN ZHAO, JIEHUA ZHU

Associate Professor(s): JOY W. DARLEY (Emeritus), PATRICIA B. HUMPHREY, SCOTT N. KERSEY, YI LIN, COLTON ROBERT MAGNANT, THOMAS BRUCE McLEAN (Emeritus), ANDREW V. SILLS, ALEXANDER M. STOKOLOS, SHIJUN ZHENG

Assistant Professor(s): DEBORAH A. BELL (Emeritus), JAMES P. BRASELTON, STEPHEN CARDEN, ARPITA CHATTERJEE, ZHAN CHEN, JIMMY JOSEPH DILLIES, HEIDI A. EISENREICH, YI HU, IONUT EMIL IACOB, SUSIE MAE LANIER (Emeritus), STEFAN MUELLER, SAEED NASSEH, HA NGUYEN, DONNA SAYE (Emeritus), CYNTHIA F. SIKES (Emeritus), THARANGA D. WICKRAMARACHCHI, FRANCOIS ZIEGLER

Instructor(s): SHARON M. BARRS, LORRAINE M. BRASELTON

Senior Lecturer(s): BRIDGETT H. LEE, MARSHALL R. RANSOM

Lecturer(s): NEELAM AGGARWAL, JACQUELINE F. HOELL, ENKELEIDA K. LAKURIQI, ZHUOJUN MAGNANT, GRZEGORZ J. MICHALSKI, CHASEN G. SMITH, MASAHIKO UCHIDA, DIVINE TITO FONGHA WANDUKU, YUTING ZOU

Limited-Term Assistant Professor(s): REINHARD E. PILTNER

Limited-Term Instructor(s): WILLIAM COGGINS, KATELYN COGGINS, INNA N. EDWARDS, ZACHARY ESPE, NATHAN FARMER, MICHAEL FOX, DANIEL GRAY, ADITI MITRA, ALFREDA ROGERS, GERALD WESLEY ROGERS, AMY SPILLMAN WINSKIE