MATH 1113 - Mathematics For General Education

This course surveys mathematical topics that are not intended as a preparation or substitute for College Algebra. Topics incude sets, logic, probability, statistics, matrices, geometry, numeration systems, number systems, and the real number system. Prerequisite(s): Three units of high school mathematics or the equivalent.

MATH 1453 - College Algebra For Business

This course exposes students to equations and inequalities, as well as functions and their graphs, including polynomial, rational, exponential and logarithmic functions. Students solve problems in financial mathematics, systems of linear equations, and linear programming. Credit may be earned in only one course from MATH 1555, 1453, 1513. Prerequisite(s): Three years of high school mathematics or the equivalent.

MATH 1513 - College Algebra

The course content includes complex numbers, equations and inequalities, graphing, functions, variation, systems of equations, matrices and determinants, zeros of polynomials, mathematical induction, the binomial theorem, and sequences. Credit may be earned in only one course from MATH 1555, 1453, or 1513.

MATH 1555 - College Algebra & Trigonometry

This is an integrated course covering topics in college algebra and trigonometry. The course content includes the study of exponential, logarithmic and inverse functions, as well as solutions of linear equations using matrices and determinants. Credit may be earned in only one course from MATH 1555, 1453, 1513.

MATH 1593 - Plane Trigonometry

The course content focuses on trigonometric functions, equations and identities. Students will also learn solutions of triangles and the trigonometric representation of complex numbers.

MATH 1643 - Introduction To Engineering w/Computer Applications

This course will introduce students to topics from various branches of engineering. The course content includes problem solving, programming and computer applications, as well as introduction to engineering terminology and reference sources. Prerequisite(s): MATH 1555.

MATH 1743 - Technology And Mathematics

This course will introduce students to the use of spreadsheets, mathematical engines, (e.g., Maple, Mathematica, and Matlab), graphing calculators, and other forms of technology in interdisciplinary applications related to mathematics. Additionally, an introduction to the theory and practical considerations involved in electronic computation will be presented. Prerequisite(s): MATH 1513 or 1453 and MATH 1593 or 1555.

MATH 2000 - Topics In Mathematics

Credit will vary from 1 to 4 hours. A general survey of select scientific topics.

MATH 2013 - Structures Of Mathematics

Topics include the structure of number systems, operations, properties, ordering, functions and number theory beginning with natural numbers and extending through the set of all real numbers. This course is specifically designed for elementary education, special education, and early childhood education majors.

MATH 2023 - Foundations Of Geometry & Measurement

This course surveys geometry and measurement in order to develop a foundation in shapes, measurement, congruence and similarity, coordinate geometry, and geometric transformations.

MATH 2053 - Calculus & Stat For Business

This course is designed to equip business students with the tools to solve problems in set theory, probability, combinatorics, and statistics. This course also explores the mechanics underlying differential and integral calculus, as well as their applications to business. Prerequisite(s): MATH 1453.

MATH 2113 - Analysis Of Data And Chance

This course will introduce students to statistics, counting techniques, probability, techniques in simulation, sampling, and consumer mathematics. This course emphasizes the use of real data, active experiments, problem solving, and student participation. This course is specifically designed for those preparing to teach at the elementary school level. Prerequisite(s): MATH 2013.

MATH 2123 - Discrete Mathematics

This is an introductory course including topics from logic, Boolean algebra, set theory, permutations and combinations, graph theory, relations, algorithms and probability. Prerequisite(s): MATH 1513.

MATH 2133 - Patterns And Functions

This course includes real-world applications solved in an active-learning environment. Topics include the treatment of mathematical patterns, functions, equations, graphs, algebraic structures and linear inequalities. This course is specifically designed for those preparing to teach at the elementary school level. Prerequisite(s): MATH 2013.

MATH 2305 - Accelerated Calculus 1 & 2

Accelerated Calculus 1 & 2 contains the combined content of MATH 2313, Calculus 1, and MATH 2323, Calculus 2, and is designed for Physics & Engineering majors and for other majors who desire an accelerated pace in their calculus instruction. The content of the course includes limits and continuity, differentiation and its basic applications, as well as integration and its basic applications, all in the context of both algebraic and transcendetal functions of a single real variable. Prerequisite(s): MATH 1513 (or high school Algebra II) and MATH 1593 (or high school Trigonometry) or MATH 1555.

MATH 2313 - Calculus 1

This is the first course of a four-semester sequence of differential and integral calculus with applications. The course covers limits and continuity, derivatives and their applications as well as the basic theory of Riemann integration in one variable and the fundamental theorem of calculus. Prerequisite(s): MATH 1513 (or high school Algebra II) and 1593 (or high school Trigonometry) or 1555.

MATH 2323 - Calculus 2

This is the second course of a four-semester sequence of differential and integral calculus with applications. The course covers the techniques and applications of integration, the transcendental functions and their inverses, as well as an introduction to differential equations. Prerequisite(s): MATH 2313.

MATH 2333 - Calculus 3

This is the third course of a four-semester sequence of differential and integral calculus with applications. The course covers infinite series, conic sections, parameterized curves, polar coordinates, vectors and analytic geometry in space, vector-valued functions, the TNB-frame, curvature and torsion. Prerequisite(s): MATH 2323 or 2305

MATH 2343 - Calculus 4

This is the fourth course of a four-semester sequence of differential and integral calculus with applications. The course covers the calculus of functions of several real variables, including Green's theorem, Stokes' theorem, and the divergence theorem. Prerequisite(s): MATH 2333.

MATH 3000 - Workshop In Mathematics

Credit will vary from 1 to 6 hours. Subject matter will vary within the department's field of study. Normally involves lecture, films, guest speaker, etc. A grade of "P" or "F" is given. No more than 6 hours of workshop may be counted toward a bachelor's degree.

MATH 3103 - Differential Equations

This course introduces the theory of ordinary differential equations, method of undetermined coefficients, variation of parameters, operators, series solutions, Laplace transforms, numerical solutions, and their applications. Prerequisite(s): MATH 2343.

MATH 3113 - Foundations of Advanced Mathematics

This course introduces techniques of mathematical proof with focus on properties of the real number system. Topics include elementary symbolic logic, mathematical induction, algebra of sets, relations, functions, countability, combinatories, and graph theory. Prerequisite(s): MATH 2323.

MATH 3123 - College Geometry

This course covers advanced Euclidean geometry, including geometric construction, elements of the triangle and their relations, homothety, harmonic division, inversion, and the nine-point circle. Prerequisite(s): MATH 2323.

MATH 3133 - Theory Of Interest 1

This is the first semester of a two-semester sequence delving into the theory of interest. Topics include an introduction to the terminology and methodology of solving interest problems, as well as the definitions and valuations of annuities. Prerequisite(s): MATH 2323.

MATH 3143 - Linear Algebra

This course covers elementary operations in matrix algebra, determinants, inverses of matrices, rank and equivalence, linear equations and linear dependence, vector spaces and linear transformations, the characteristic equation of a matrix, bilinear, quadratic, and hermitian forms. Prerequisite(s): MATH 2333.

MATH 3163 - Elementary Number Theory

This course covers the divisibility of integers, congruences, quadratic residues, mathematical induction, distribution of primes, diophantine equations, numerical functions, and continued fractions. Prerequisite(s): MATH 3113.

MATH 3183 - Introduction To Modern Algebra

This course introduces sets, relations, algebraic systems, logic and techniques of proof through an axiomatic approach to number systems, groups, rings, and vector spaces. Prerequisite(s): MATH 3113.

MATH 3243 - Advanced Linear Algebra

This course covers vector spaces and linear transformations, finite-dimensional vector spaces, invariance of dimension, finite-dimensional subspaces, behavior of dimension with respect to subspaces and quotient spaces. Prerequisite(s): MATH 3143.

MATH 3263 - Numerical Analysis I

This course covers iterative methods including Newton's methods and Steffensens's methods for solving nonlinear equations, rate of convergence, quotient-difference algorithms, matrix computations, methods for solving systems of equations, and Lagrange interpolation formulas. Prerequisite(s): MATH 3103 (programming languages required).

MATH 3990 - Advanced Topics In Mathematics

Credit will vary from 1 to 4 hours. Subject matter will vary within the department's field of study.

MATH 4103 - Numerical Analysis II

This course covers numerical solutions of ordinary differential equations, introduction to linear programming, error analysis as well as the study of quadrature formulae. Prerequisite(s): MATH 3263.

MATH 4113 - Introduction To Operations Research I

This course covers formulation, graphical and simplex solutions of linear programming problems, duality and sensitivity analysis with applications including the transportation model and its variants, network models including PERT and CPM and goal programming. Prerequisite(s): MATH 3143, STAT 3103 or 4113. This course replaces MATH 4173.

MATH 4123 - Introduction To Operations Research II

This course covers the integer linear programming, deterministic dynamic programming, deterministic inventory models, decision analysis, games, and queuing systems. Prerequisite(s): MATH 4113.

MATH 4133 - Theory Of Interest 2

This is the second semester of a two-semester sequence delving into the theory of interest. Topics include yield rates, amortization schedules, bonds and other securities. Prerequisite(s): MATH 3133.

MATH 4143 - Introduction To Analysis 1

This course introduces the study of functions of a real variable. Theory, proof techniques and writing skills are emphasized. Topics include real numbers, denseness of the real numbers, convergence of sequences of real numbers, Cauchy sequences, the Bolzano-Weirstrass theorem, continuous functions, uniform continuity, differentiable functions and integrable functions. Prerequisite(s): MATH 3113 and MATH 2333 and Junior standing or above.

MATH 4153 - Introduction To Analysis 2

This course continues the study of functions of a real variable introduced in MATH 4143 - Introduction to Analysis 1. Theory, proof techniques and writing skills are emphasized. Prerequisite(s): MATH 4143.

MATH 4203 - Fundamental Concepts Geometry

This course covers elementary theory in the foundations of geometry and logical systems, and basic theory in the fields of Euclidean, Non-euclidean, and synthetic and coordinate projective geometry, including homogeneous coordinates. Prerequisite(s): MATH 2333.

MATH 4223 - Mathematics Of Life Contingencies I

The course is directed toward all undergraduate students in the B.S. program in Actuarial Science. It is designed to equip students with an understanding of the basic theory of life contingencies. Prerequisite(s): MATH 3133 or 4113 or 4353.

MATH 4233 - Mathematics Of Life Contingencies II

The course is directed toward all undergraduate students in the B.S. program in Actuarial Science. It is designed to equip students with an understanding of the basic theory of life contingencies. Prerequisite(s): MATH 4223.

MATH 4243 - Vector Analysis

This course covers vector algebra, vector functions of one variable, differential equations, integral theorems, and vector spaces. Prerequisite(s): MATH 2343.

MATH 4483 - History Of Mathematics

This course covers the historical development of mathematical concepts and symbolism. Prerequisite(s): MATH 2333.

MATH 4503 - Symbolic Logic

This course covers the logic of syntax, an analysis of truth-functional compound statements, truth tables, formal and indirect proofs, propositional functions and the use of quantifiers, the logic of relations, and a study of the nature of deductive systems. Prerequisite(s): MATH 2323 plus 6 hours of mathematics.

MATH 4583 - Discrete Structures

This course covers set theory, algebras and algorithms, graphs and digraphs, finite state machines, lattices, groups and combinatorics, logic and languages. Prerequisite(s): CMSC 1613 and MATH 3143.

MATH 4843 - Teaching Of Secondary Mathematics

This course covers the development of secondary mathematics in the United States, the work of professionally recognized mathematics education committees, the general aspects of teaching mathematics, and detailed study for teaching various high school mathematics courses. Prerequisite(s): Six hours of MATH courses numbered above 2333. Junior or senior standing. Enrollment open to Mathematics Education majors only.

MATH 4900 - Practicum In Mathematics

Credit will vary from 1 to 4 hours. Subject matter will vary within the department's field of study.

MATH 4910 - Seminar In Mathematics

Credit will vary from 1 to 5 hours. Subject matter will vary within the department's field of study. Prerequisite(s): Written permission of instructor.

MATH 4930 - Individual Study

Credit will vary from 1 to 4 hours. Subject matter will vary within the department's field of study. Prerequisite(s): Written permission of instructor.

MATH 4950 - Internship In Mathematics

Credit will vary from 1 to 8 hours.

MATH 4960 - Institute In Mathematics

Credit will vary from 1 to 8 hours. Subject matter will vary within the department's field of study. Prerequisite(s): Written permission of instructor.

MATH 4970 - Study Tour In Mathematics

Credit will vary. Subject matter will vary within the department's field of study.

MATH 4980 - Workshop In Mathematics

Credit will vary from 1 to 4 hours. Subject matter will vary within the department's field of study. Normally involves lecture, films, guest speaker, etc. A grade of "P" or "F" is given. No more than 6 hours of workshop may be counted toward a bachelor's degree.

MATH 5000 - Workshop In Mathematics

Credit will vary form 1 to 4 hours. Subject matter will vary within the department's field of study. Normally involves lecture, films, guest speaker, etc. A grade of "P" or "F" is given. No more than 2 hours of workshop may be counted on a master's degree.

MATH 5103 - The Real Number System

Properties of the real number system will be developed in this course. Recommended for all graduate students in mathematics.

MATH 5113 - Operations Research I

Topics for this course include linear programming formulation, the simplex method, duality, and Linear sensitivity analysis. Applications will include the transportation model and its variants, integer linear programming, goal programming, network models, CPM and PERT. Prerequisite(s): MATH 3143, STAT 3103 or 4113.

MATH 5123 - Operations Research II

Topics in this course include deterministic dynamic programming, deterministic inventory modes, forecasting models, decision analysis and games, probabilistic dynamic programming, probabilistic inventory models, queuing systems and simulation modeling. Prerequisite(s): MATH 4113 or 5113.

MATH 5134 - Calculus For Secondary Teachers

This course is a survey of calculus in view of modern concepts and is intended for students preparing to teach advanced secondary mathematics.

MATH 5143 - Advanced Calculus For Applications 1

This is the first course in a two-course sequence of differential and integral calculus. Its topics include sequences and limits of sequences, limits of single variable functions, and differentiation and integration of single variable functions. Students will be required to apply the ideas learned to individual investigations. Prerequisite(s): Math 4143.

MATH 5153 - Advanced Calculus For Applications 2

This is the second course ina two-course sequence of differential and integral calculus. Its topics include infinite series of numbers, sequences and series of functions, Fourier series, vector calculus, and limits, differentiation, and multiple integration of functions of several variables. Prerequisite(s): MATH 5143.

MATH 5164 - Calculus For Secondary Teachers

This course is a continuation of MATH 5134. Prerequisite(s): MATH 5134.

MATH 5183 - Numerical Analysis II

This course is a continuation of MATH 3263. Topics include the study of quadrature formulae, the numerical solution of ordinary differential equations, an introduction to linear programming, and error analysis. Prerequisite(s): MATH 3263.

MATH 5203 - Foundations Of Mathematics

This course is a study of the fundamental concepts of mathematics. Topics include axiomatic methods in algebra and geometry, the theory of sets and other cultural aspects of mathematics.

MATH 5243 - Vector Analysis

Topics in this course include vector algebra, vector functions of one variable, differential invariants, integral theorems, and vector spaces. Prerequisite(s): MATH 2343.

MATH 5323 - Non-Linear Programming

Topics in this course include the N.L.P. problem, Kuhn-Tucker conditions, quadratic, separable, and integer programming, and the method of Griffith and Stewart. Prerequisite(s): MATH 4113 or 5113.

MATH 5403 - Introduction To Actuarial Science

Topics in this course include single-life mortality functions, annuities, life insurance, premiums, and reserve multiple-life functions. Prerequisite(s): STAT 4113 or 5113 or 4353 or 5353.

MATH 5413 - Differential Equations

Topics in this course include partial differential equations, elliptic, hyperbolic, and parabolic equations, separation of variables, special functions, eigen function expressions, and the existence and uniqueness of solutions. Prerequisite(s): MATH 5363.

MATH 5433 - Theory Of Functions

This course is an introduction to the theory of functions of real and complex variables.

MATH 5443 - Introduction To Complex Variables

This course is an introduction to the theory of functions of a complex variable. Topics include analytic functions, complex integrals, Taylor and Laurent series, and conformal mappings. Prerequisite(s): MATH 2343.

MATH 5453 - Mathematical Modeling

This course is a case study approach to mathematical modeling. Problems from a variety of problem areas and demonstrating various mathematical methodology will be discussed. Prerequisite(s): Permission of the instructor.

MATH 5503 - Symbolic Logic

Topics in this course include the logic of syntax, an analysis of truth-functional compound statements, truth tables, formal and indirect proofs, propositional functions and the use of quantifiers, the logic of relations, and a study of the nature of deductive systems. Prerequisite(s): MATH 2323 and 6 hours of mathematics.

MATH 5543 - Applied Group Theory

Applications of group theory to finite state machines, switching functions, and error detecting codes will be examined in this course. Other topics include sets, partially ordered sets, functions, and boolean algebras. Prerequisite(s): MATH 4583.

MATH 5563 - Introduction To Graph Theory

Topics in this course include the structure of graphs, trees, connectivity, planarity, colorability of graphs, digraphs, matrices associated with a graph, and the automorphism group of a graph. Graph theoretic modeling and applications to engineering, computer science, and data structures will be emphasized. Prerequisite(s): MATH 3183 or 3143.

MATH 5843 - Methods Of Teaching Mathematics And Computer Science

This course examines general aspects of the teaching of mathematics and computer science at the secondary and junior college levels. Prerequisite(s): CMSC 1613 and MATH 4843.

MATH 5853 - Introduction To Graduate Research

Students in this course will learn how to conduct scholarly research, read professional journals, structure a comprehensive paper, and communicate mathematical concepts. Each student will submit a comprehensive report in a format appropriate to the nature of the investigated problem. Prerequisite(s): Enrollment open to math majors only.

MATH 5900 - Practicum In Mathematics

Credit will vary from 1 to 4 hours. Subject matter will vary within the department's field of study.

MATH 5910 - Seminar / Special Topics

Credit will vary from 1 to 4 hours. Directed intensive study on selected problems or special topics. Prerequisite(s): Undergraduate minor in the subject matter area and permission of graduate advisor.

MATH 5930 - Individual Study

Credit will vary from 1 to 4 hours. Directed intensive study on definite or special subject, based on approved outlines or plans; conference, oral and written reports. Prerequisite(s): Permission of instructor.

MATH 5950 - Internship In Mathematics

Credit would vary from 1 to 8 hours. Subject matter would vary within the department's field of study. Supervised practical experience gained in a professional field by an advanced or graduate student.

MATH 5960 - Institute In Mathematics

Credit will vary from 1 to 8 hours. Subject matter will vary within the department's field of study.

MATH 5970 - Study Tour

Credit will vary. Subject matter will vary within the department's field of study.

MATH 5980 - Graduate Project

A contemporary problem provided by business and industry and selected with consideration of the interests and abilities of the individual student. Prerequisite(s): Written permission of instructor and MATH 5853. Enrollment open to Math majors only.

MATH 5990 - Thesis

Credit will vary from 1 to 6 hours. Subject matter will vary within the department's field of study. Prerequisite(s): Permission of instructor and MATH 5853. Enrollment open to math majors only.