method of residues. Prerequisite: MAT 231 or consent of instructor. CREDIT: THREE SEMESTER HOURS.

MAT 399/PHY 399/BIO 399/CHE 399/COS 399: Undergraduate Teaching Experience. Students earn course credit for undergraduate teaching experience including but not limited to (1) assisting students during laboratory sessions, (2) 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: ONE SEMESTER HOUR.

MAT 401: Modern Algebra I. Operations, permutations, groups, isomorphism, quotient groups, Sylow's theorems, and applications are discussed. Prerequisite: MAT 300. CREDIT: THREE 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: THREE SEMESTER HOURS.

MAT 403: Real Analysis I. Real numbers and Euclidean n-space, continuous functions, differentiable functions of one and several variables, and the Riemann integral are studied. Prerequisites: MAT 231 and MAT 300. CREDIT: THREE 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: THREE SEMESTER HOURS.

MAT 411: Topology. Topological spaces, metric spaces, separation axioms, connectedness, compactness, continuity, product and quotient spaces. Prerequisite: MAT 300. CREDIT: THREE 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: THREE 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: THREE 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: THREE SEMESTER HOURS.

MAT 495: Topics in Mathematics. This course requires intensive examination of a

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