MATH 420 History of Mathematics The historical development of mathematics over the past 5,000 years, including typical mathematical problems from various historical periods and biographical and philosophical aspects of mathematics. Prerequisites: mathematics major with senior status or departmental permission. MATH 421 Modern Algebra Binary systems, groups, rings, and fields. Normal subgroups, quotient groups, permutation groups, homomorphisms, isomorphisms, and Lagrange’s theorem. Prerequisite: 201. MATH 440 Mathematical Modeling Applications of mathematics to a wide variety of problems inherent in a technological society. Emphasis may vary among applications to physical, biological, and environmental systems or linear programming, queueing theory, Markov processes, and other problems of systems engineering. Emphasis on constructing mathematical interpretations of such problems. Prerequisites: 321 and 360. MATH 451 Real Variable Theory Introduction to mathematical analysis. Axiomatic development of the real number system. Examination of foundations of the theory of functions of real variable; limits, continuity, differentiation, and integration of functions of a single real variable, an infinite series. Prerequisites: 201 and 253. MATH 455 Mathematics of the Physical Sciences Series solutions of differential equations, Fourier analysis, partial differential equations, and functions of a complex variable with emphasis on application to physical systems. Prerequisites: 353 and Physics 202, or departmental permission. MATH 460 Independent Study Individual study and research in mathematics, under the supervision of a faculty member. Prerequisites: junior or senior status, GPA of 3.0 in mathematics courses, and departmental permission. One to four semester hours. MATH 470 and 471 Internship I and II Work experience related to the student’s major, jointly supervised by the department and a professional in the field. Although the usual internship will carry either three or six hours credit, a student may elect to arrange an internship carrying between two and six hours credit with the permission of the department. Each hour of credit will require forty hours at the internship site. Prerequisites: 2.0 GPA overall and in mathematics, junior or senior status, permission of department, and completion of 151, 152, 253, and courses appropriate to the work experience. Two to six semester hours. Pass-Fail only. MATH 473 Numerical Analysis Mathematical theory underlying selected numerical methods and the application of those methods to solving problems of practical importance. Computer programs used to facilitate calculations. Roots of equations, systems of linear equations, interpolation, approximation, and numerical integration. Prerequisites: 353 and knowledge of a high-level programming language.
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