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Course Criteria
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3.00 Credits
P: MATH M301 or MATH M307. Study of groups, rings, fields (usually including Galois theory), with applications to linear transformations. (Fall- odd years)
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3.00 Credits
Selected topics in various areas of mathematics that are not covered by the standard courses. May be repeated for credit. (Occasionally)
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3.00 Credits
P: MATH M301 or MATH M303, and MATH M311, or consent of instructor. Modern theory of real number system, limits, functions, sequences and series, Riemann-Stieltjes integral, and special topics. (Spring- even years)
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3.00 Credits
P: MATH M311 and MATH M360, or consent of instructor. Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth. (Fall-odd years)
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3.00 Credits
P: MATH M311 and MATH M360, or consent of instructor. Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth. (Spring-even years)
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3.00 Credits
P: MATH M360. Stochastic processes, martingales, Brownian motion, stochastic differential equations, Ito's Lemma. These topics are applied to the BlackScholes formula, the pricing of financial derivatives, and the term theory of interest rates. (Spring-odd years)
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3.00 Credits
P: MATH M301 or MATH M303, and MATH M311, or consent of instructor. Idealized random experiments, conditional probability, independence, compound experiments. Univariate distributions, countable additivity, discrete and continuous distributions, Lebesgue-Stieltjes integral (heuristic treatment), moments, multivariate distribution. Generating functions, limit theorems, normal distribution. (Occasionally)
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3.00 Credits
P: MATH M301 or MATH M303, MATH M311, MATH M360. Introduction to the methods of operations research. Linear programming, dynamic programming, integer programming, network problems, queuing theory, scheduling, decision analysis, simulation. (Fall-odd years)
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3.00 Credits
P: MATH M301, MATH M311, and at least 3 additional credit hours in mathematics at the 300 level or above. The development of modern mathematics from 1660 to 1870 will be presented. The emphasis is on the development of calculus and its ramifications and the gradual evolution of mathematical thought from mainly computational to mainly conceptual. (Occasionally)
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3.00 Credits
P: MATH M320 and MATH M360. Measurement of mortality, life annuities, life insurance, net annual premiums, net level premium reserves, the joint life and last- survivor statuses, and multiple-decrement tables. (Spring-even years)
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