KENTUCKY STATE UNIVERSITY

helping to set up laboratories or lecture/lab quizzes, or (3) conducting PLTL-Excel type workshops for students. Course may be repeated for credit. Prerequisite: Consent of instructor. Credit: 1 semester hour.

MAT 401: Modern Algebra I. Operations, permutations, groups, isomorphism, groups, Sylow's theorems, and applications are discussed. Prerequisite: MAT 300. Credit: 3 semester hours.

MAT 402: Modern Algebra II. Continuation of MAT 401. Rings, integral domains, quotient rings and ideals, extension fields, and vector spaces are studied. Prerequisite: MAT 401. Credit: 3 semester hours.

MAT 403: Real Analysis I. Real numbers and Euclidean space, continuous functions, differentiable functions of one and several variables, and the Riemann integral are studied. Prerequisites: MAT 231 and MAT 300. Credit: 3 semester hours.

MAT 404: Real Analysis II. Classical Lebesque integral, power series, curves, surfaces, integral theorem, divergence, and theorems of Green and Stokes are discussed. Some applications are examined. Prerequisite: MAT 403. Credit: 3 semester hours.

MAT 411: Topology. Topological spaces, metric spaces, separation axioms, connectedness, compactness, continuity, product and quotient spaces. Prerequisite: MAT 300. Credit: 3 semester hours.

MAT 415: Elementary Dynamical Systems. Time evolution of various physical and/or biological systems and asymptotic behavior of orbits in phase space are studied with various mathematical techniques. Prerequisite: MAT 232. Credit: 3 semester hours.

MAT 460: Mathematics Seminar.* An integrated overview of the mathematics curriculum. Each student will be required to prepare and present an independent investigation of topics of personal/professional interest. May be repeated once for credit. Prerequisite: Senior standing in mathematics. Credit: 3 semester hours.

MAT 470: Mathematical Modeling. This course is designed to provide a student with broad exposure to mathematical models and techniques to find solutions to governmental, industrial, and management problems. Optimization technique, probability and stochastic processes, physical and biological applications, hierarchies and priorities, computer-aided modeling and problem solving will be covered. Prerequisite: Consent of instructor. Credit: 3 semester hours.

MAT 495: Topics in Mathematics. This course requires intensive examination of a mathematical topic chosen by a faculty member in Mathematics. This course will involve intensive reading, presentation, and discussion, as well as writing. May be repeated for credit. Prerequisite: Consent of instructor. Credit: 3 semester hours.

MAT 497: Contemporary Topics in Math. An exploration of contemporary topics in business management. May be repeated for credit for different topics (maximum of 9 credit hours). Examples of topics include lean, green, and sigma, global competitiveness, sustainable business practice, team management, leadership or other current issues.

MATHEMATICS AND SCIENCES

MSC 111: Math & Sciences Excel Laboratory. Peer-lead team learning approach to intensive interdisciplinary problem solving. (two hours of laboratory per week) Graded Pass/Fail. Co-requisite: BIO 111, BIO 210, CHE 101, CHE 102, MAT 115, MAT 120, MAT 131, PHY 207, PHY 208, PHY 211, or PHY 212 and consent of instructor or record. Credit: 1 semester hour.