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Mathematics

The student majoring in mathematics may choose from the B.A. or B.S. degree. Both courses of study provide a firm background in undergraduate mathematics. We also offer a specialized B.S. program in mathematics which is designed for students who wish to pursue career opportunities in actuarial science.

For students who major in other areas, we offer a minor in mathematics. It reflects the additional academic achievements of the student, and it enhances the value of a major in any other area.

Major in mathematics (B.A. degree):  27 semester hours, including MATH 231, 232, 331, 333, 334, 335 or 432, 437, and six additional upper division hours.
Supporting courses (B.A. degree):  24 semester hours, including STAT 374, 375 and 18 semester hours in the natural sciences, the social sciences, or business administration with at least 15 hours in one discipline.

Major in mathematics (B.S. degree):  36 semester hours, including MATH 231, 232, 331, 333, 334, 335, 431, 432, 433, 437 and six additional upper division hours.
Supporting courses (B.S. degree):  24 semester hours, including STAT 374, 375 and 18 semester hours in the natural sciences, the social sciences, or business administration with at least 15 hours in one discipline.

Major in mathematics (B.S. degree - pre-actuarial science specialization): 36 semester hours, including MATH 231, 232, 238, 333, 334, 338, 431, 433, 437, 471, and six additional upper division hours in mathematics.
Supporting courses for pre-actuarial science specialization:  27 semester hours, including STAT 374, 375; CSCI 136 or 238; ENG 335; and 15 hours selected from BA 231, 232, 339, 373, 377, ECON 237.

Minor in mathematics: 18 semester hours, including MATH 231, 232 and 12 additional semester hours selected from Math 138 or higher (a minimum of six hours upper division).


MATHEMATICS

MATH 113. Workshop in Mathematics (1:1:0)
An introduction to problem solving in College Algebra. Designed for students needing to improve their problem solving skills. May only be taken concurrently with MATH 133. Strongly recommended for students repeating MATH 133 or having math SAT score of 430 or less.

MATH 130. College Mathematics (3:3:0)
Sets and problem solving, sets of numbers, equations, inequalities, function and graphs, geometry, counting techniques, statistics. Does not count towards math major or minor.

MATH 133. College Algebra (3:3:0)
Functions and graphs, polynomials, rational functions, exponential and logarithmic functions.

MATH 136. Calculus for Business, Economics and Social Sciences (3:3:0)
Differential and integral calculus with applications to business, economics, and social sciences. Prerequisite: MATH 133.

MATH 138. Elementary Functions (3:3:0)
The study of elementary functions, their graphs and applications, including polynomial, rational, exponential, logarithmic and trigonometric functions. Prerequisite: MATH 133, or Math SAT greater than 480, or ACT greater than 21.

MATH 231-232. Calculus I, II (3:3:0)
Differential and integral calculus of algebraic, exponential, logarithmic transcendental functions, sequences, and infinite series. Prerequisite: MATH 138, or Math SAT greater than 620 or ACT greater than 31.

MATH 233. Discrete Mathematics (3:3:0)
Sets, functions; logic and logic circuits; relations on sets; combinatorics; introduction to graph theory. Prerequisite: MATH 231.

MATH 331. Elementary Linear Algebra (3:3:0)
Introduction to elementary linear algebra with emphasis on systems of linear equations, finite dimensional vector spaces, linear transformations, matrices, eigenvalues, eigenvectors, and applications. Prerequisite: MATH 231.

MATH 333. Calculus III (3:3:0)
Calculus of several variables, differential and integral vector calculus. Prerequisite: MATH 232.

MATH 334. Differential Equations (3:3:0)
Solutions of ordinary differential equations using classical methods, Laplace transform, numerical methods, power series solutions. Solution of linear systems of ordinary differential equations. Prerequisite: MATH 331.

MATH 335. Introduction to Abstract Algebra (3:3:0)
An introduction to some modern topics in mathematics. Elementary set theory, groups, rings, fields. Prerequisite: MATH 232, 331.

MATH 338. Numerical Methods (3:3:0)
Numerical techniques for solving mathematical models of scientific problems. Topics include the numerical solution of equations, error analysis, numerical differentiation and integration, interpolation and approximations, numerical solution of systems of equations. (Also offered as CSCI 338) Prerequisite: MATH 232

MATH 375-376. Concepts of Mathematics (3:3:0 each)
Various topics concerning basic concepts of mathematics. Emphasis is on mathematical content of topics applicable to the elementary school curriculum. Designed for students of elementary education. Does not count towards math or computer science major or minor.

MATH 379. Special Topic (3:3:0)
Topics selected by the instructor. Among these topics are number theory, partial differential equations, theory of complex variables, and research methods in computational mathematics. Prerequisite: consent of instructor.

MATH 410, 420, 430. Independent Study (X:X:X)
Intensive, individual study and/or research available to qualified students with a special interest to do advanced work in specific areas not covered by regular courses. Prerequisite: consent of instructor.

MATH 419, 429, 439. Internship (X:X:X)
Practical work experience which complements major course work. One to three hours credit dependent on number of work hours per week. Normally, 80 hours of internship equal to one semester hour of credit. Credit/Non-credit grading. Prerequisite: consent of advisor.

MATH 431. Foundations of Applied Mathematics (3:3:0)
Asymptotic expansions, special functions, line/surface integrals, Green’s Divergence and Stokes’ Theorems, integral transforms (Laplace, Fourier) and applications. Functions of a complex variable, Taylor/Laurent Series, Residue Theorem and contour integration, Conformal mapping and applications. Prerequisite: MATH 333.

MATH 432. Real Analysis (3:3:0)
Set theory, the real number system, metric spaces, continuous functions, differentiation, Riemann integration. Prerequisite: MATH 333 and consent of instructor.

MATH 433-434. Mathematical Statistics and Probability (3:3:0 each)
Mathematical theory of probability, random variables on both discrete and continuous sample spaces, elementary sampling theory and hypotheses testing. Prerequisite: STAT 375 and MATH 232.

MATH 436. Introduction to Topology (3:3:0)
An introduction to metric spaces, point sets, sequences, continuity, Topological spaces. Prerequisite: MATH 232 and 331.

MATH 437. Senior Research and Capstone (1:X:0)
A course partially devoted to the readings from the history of mathematics and presentations based on leading figures in the history of mathematics.  This will be followed by an investigation of a selected project in mathematics that will include research of the topic and written and oral presentation of the results.  Required of all mathematics majors and must be taken during the senior year of study.  Prerequisite:  Senior standing.

MATH 471. Operations Research (3:3:0)
Linear programming, network models, integer programming, dynamic programming, deterministic models for inventory and production control. (Also offered as CSCI 471.) Prerequisite: MATH 136 or MATH 231.

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