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Course Criteria
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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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3.00 Credits
P: MATH M485. Population theory, the joint life status, last- survivor and general multilife statuses, contingent functions, compound contingent functions, reversionary annuities, multiple-decrement tables, tables with secondary decrements. (Spring-even years)
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1.00 - 3.00 Credits
P or C: at least one 400-level mathematics course. Student must write a paper, relating to 400-level mathematics study, on a topic agreed upon by the student and the department chair or advisor delegated by the chair.
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3.00 Credits
P: MATH M391. Axiom systems for the plane; the parallel postulate and non-Euclidean geometry; classical theorems. Geometric transformation theory vectors and analytic geometry; convexity; theory of area and volume. (Fall-even years)
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3.00 Credits
P: MATH T103. Development and study of a body of mathematics specifically designed for experienced elementary teachers. Examples may include probability, statistics, geometry, and algebra. Open only to graduate elementary teachers with permission of the instructor. Does not count toward arts and sciences distribution requirement. (Occasionally)
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4.00 Credits
P: junior or senior standing in mathematics education or consent of instructor. Team-taught capstone course for mathematics education majors. Mathematics of grades 6-12 and methods of instruction. Topics explored from a college perspective. (Summer- even years)
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