Mathematics is the unique language of all physical and social sciences. Students who pursue the study of mathematics are trained to solve problems and to communicate such solutions effectively. This gives the foundation for further professional study in many fields as well as for employment in business and industry.

Major

(B.A. degree) A minimum of thirty hours in mathematics including MAT 121, 122, 221, 301, 310, 322, 415, and 431. The remaining six hours may be chosen from courses numbered above 221. Total hours required: 30. (Secondary education mathematics majors are required to include MAT 331 and 335 in the major course selections and to have taken one of: CSC 115 or 114. Total hours in mathematics and computer science required: 33.)
(B.S. degree) A minimum of thirty-three hours in mathematics including MAT 121, 122, 221, 301, 310, 322, 415, 431, and 432. The remaining six hours may be chosen from courses numbered above 221. Total hours required: 33. (Secondary education mathematics majors are required to include MAT 331 and 335 in the major course selections and to have taken one of: CSC 115 or 114. Total hours in mathematics and computer science: 36.)

Minor

A minimum of eighteen hours in mathematics including MAT 121, 122, and 221. The remaining hours may be chosen from courses numbered above 221. Total hours required: 18.

A middle grades mathematics major requires MAT 103, 104, 121, 122, 111, 221, 301, 335 and three additional hours above MAT 221. Total hours required: 27.

Students with strong backgrounds in mathematics will be placed at course levels commensurate with demonstrated ability.

A prerequisite must be taken before the course; a corequisite may be taken before or concurrently with a course.

Course Offerings

103. Mathematics for Elementary School Teachers I. (3 hours) A detailed development of the mathematics taught in elementary school using a problem-solving approach. Topics include sets, numeration, and the real numbering system. For elementary education majors and middle grades mathematics certification students only. Fall

104. Mathematics for Elementary School Teachers II. (3 hours) A continuation of MAT 103. Topics include further development of the real numbering system, informal geometry, probability and statistics. Elementary Education majors only. Prerequisite: MAT 103. Spring

107. College Algebra. (3 hours) A survey of algebraic techniques and of functions. Topics include theory of equations and inequalities, graphs, transformations of functions, inverse functions, and exponential and logarithmic functions. Can be used as preparation for calculus. Not applicable to a major or minor in mathematics. Fall and Spring

109. Calculus for Business and the Social Sciences. (3 hours) An introductory survey of calculus, less theoretical in nature than MAT 121. Topics include derivatives of algebraic, exponential, and logarithmic functions, the definite integral, and applications to business and the social sciences. Prerequisite: None, but MAT 107 is recommended for students with weak backgrounds. Not applicable to a major or minor in mathematics. Fall and Spring

111. Elementary Probability and Statistics. (3 hours) An introductory study of statistics and basic probability theory including such topics as frequency distributions, measures of central tendency, variation, normal distribution and tests of hypothesis. (Not applicable to a major or minor in mathematics.) Fall and Spring

121. Differential Calculus. (3 hours) An introductory study of the derivative and its applications. Topics include limits, continuity, techniques of differentiation, and optimization. Prerequisite: MAT 107 or high school precalculus and knowledge of trigonometric functions. Fall and Spring

122. Integral Calculus. (3 hours) An introductory study of the integral. Topics include the Fundamental Theorem of Calculus, techniques of integrations, and applications of the definite integral. Prerequisite: MAT 121 or high school calculus. Fall and Spring

170. Special Topics in Mathematics (.5-3 hours)

21. Multivariable Calculus I. (3 hours) A continuation of single-variable calculus and the differential calculus of multivariable functions. Topics include infinite series, parametric equations, vectors, alternate coordinate systems, and Lagrange multipliers. Prerequisite: MAT 122. Fall and Spring

301. Discrete Mathematics. (3 hours) An introduction to fundamental theoretical concepts of mathematics and of mathematics in computer science. Topics include logic, techniques of proof, elementary set theory, mathematical induction, numeration systems, relations and functions, counting techniques, and Boolean algebra. Prerequisite: MAT 107 or its equivalent. Fall and Spring

310. Linear Algebra. (3 hours) A theoretical study of systems of linear equations and vector spaces. Topics include matrix algebra, linear transformations, eigenvalues and eigenvectors, determinants, and linear programming. Corequisite: MAT 221. Prerequisite: MAT 301. Spring

322. Multivariable Calculus II. (3 hours) The integral calculus of multivariable functions and the vector calculus. Topics include vector-valued functions, multiple integration, and line and surface integrals. Prerequisite: MAT 221. Spring

331. Probability Theory. (3 hours) A study of chance phenomena and probability distribution. Topics include probability and elementary combinatorics, random variables, mean and variance, discrete and continuous probability distributions, the Central Limit Theorem, and laws of large numbers. Prerequisite: MAT 221. Even Falls

332. Mathematical Statistics. (3 hours) A study of statistical methods and test. Topics include estimation of parameters, test of hypotheses, linear regression, and analysis of variance. Prerequisite: MAT 331. Odd Springs

335. Advanced Geometry. (3 hours) Axiomatic development of elementary geometry, non-Euclidean geometry, impossible construction, projective geometry. Prerequisites: MAT 121 and 301. Odd Falls

345. Ordinary Differential Equations. (3 hours) A study of solution methods and applications of differential equations. Topics include first order equations, higher order linear equations, the Laplace transform, and power series techniques. Corequisite: MAT 322. Spring

405. Complex Analysis. (3 hours) An introduction to the study of functions of one complex variable. Topics include the algebra of complex numbers, analytic functions, contour integrals, power series, the Residue Theorem, and conformal mappings. Corequisite: MAT 322. Odd Springs

415. Abstract Algebra. (3 hours) A theoretical development of basic algebraic structures, with an emphasis on group theory. Topics include cyclic groups, Lagrange’s Theorem, quotient groups, and homomorphisms. Rings, integral domains, and fields are introduced. Prerequisites: MAT 122 and 301. Even Falls

431. Real Analysis I. (3 hours) A theoretical development of the elements of calculus. Topics include sequences, continuity, derivatives and integrals of single-variable functions. Corequisite: MAT 221; Prerequisite: MAT 301. Odd Falls

432. Real Analysis II. (3 hours) A continuation of MAT 431. Topics include integration theory, infinite series, and series and sequences of functions. Prerequisite: MAT 431. Even Springs

440. Independent Study. (1 to 3 hours)

70. Advanced Topics. (.5 to 3 hours)