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Course Criteria
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3.00 Credits
Applied topics in mathematics at the junior level. Prerequisites and course material vary with the applications.
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1.00 - 3.00 Credits
P: Approval of Department of Mathematical Sciences. Professional work experience involving significant use of mathematics or statistics. Evaluation of performance by employer and Department of Mathematical Sciences. May count toward major requirements with approval of the Department of Mathematical Sciences. May be repeated with approval of the Department of Mathematical Sciences for a total of 6 credits.
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3.00 Credits
P: MATH 26100 and 35100. This course covers a variety of topics in operations research, including solution of linear programming problems by the simplex method, duality theory, transportation problems, assignment problems, network analysis, dynamic programming.
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3.00 Credits
P: 26100 P: MATH 26200 or 26600 and MATH 35100 or consent of instructor. Linear programming, mathematical modeling of problems in economics, management, urban administration, and the behavioral sciences.
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3.00 Credits
P: 26100 Complex numbers and complex-valued functions; differentiation of complex functions; power series, uniform convergence; integration, contour integrals; elementary conformal mapping.
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3.00 Credits
P: 26600 and PHYS 15200. Introduction to problems and methods in applied mathematics and modeling. Formulation of models for phenomena in science and engineering, their solutions, and physical interpretation of results. Examples chosen from solid and fluid mechanics, mechanical systems, diffusion phenomena, traffic flow, and biological processes.
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3.00 Credits
P: 26100. Fall. Set theory, mathematical induction, real numbers, completeness axiom, open and closed sets in Rm, sequences, limits, continuity and uniform continuity, inverse functions, differentiation of functions of one and several variables.
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3.00 Credits
P: 44400. Spring. Continuation of differentiation, the mean value theorem and applications, the inverse and implicit function theorems, the Riemann integral, the fundamental theorem of calculus, point-wise and uniform convergence, convergence of infinite series, and series of functions.
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3.00 Credits
P: 35100 or consent of instructor. Fall. Basic properties of groups, rings,and fields, with special emphasis on polynomial rings.
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3.00 Credits
P: 26100. Divisibility, congruences, quadratic residues, Diophantine equations, and the sequence of primes.
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