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Course Criteria
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3.00 Credits
The partial differential equations of classical mathematical physics. Separation of variables, eigenvalue problems, Fourier series and other orthogonal expansions. First order equations, Green's functions, Sturm-Liouville theory, and other topics as time permits. Prerequisite(s): a course in Ordinary Differential Equations. Offered fall semester only.
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3.00 Credits
Topics in group theory, especially finite group theory, algebraic field extensions, and Galois theory. Prerequisite(s): A Mat 327 or 327Z.
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3.00 Credits
Duality, quadratic forms, inner product spaces, and similarity theory of linear transformations. Prerequisite(s): A Mat 220. Offered fall semester only.
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3.00 Credits
Divisibility, congruencies, quadratic reciprocity, Diophantine equations, sums of squares, cubes, continued fractions, algebraic integers. Prerequisite(s): A Mat 326 or 326Z. Offered spring semester only.
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3.00 Credits
Axiomatic development of absolute geometry, theory of parallels, introduction to non-Euclidean geometry, isometries of the Bolyai-Lobachevsky plane. A Mat 432Z is the writing intensive version of A Mat 432; only one may be taken for credit. Prerequisite(s): A Mat 220. Offered fall semester only.
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3.00 Credits
Differential geometry of curves and surfaces in Euclidean space, frames, isometries, geodesics, curvature, and the Gauss-Bonnet theorem. Prerequisite(s): A Mat 214 and 220. Offered?spring semester only.
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3.00 Credits
Two-dimensional manifolds, the fundamental group and Van Kampen's theorem, covering spaces, graphs, and applications to group theory. Prerequisite(s): A Mat 214 and 220. May not be offered in 2008-2009.
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3.00 Credits
History of the development of mathematics, emphasizing the contributions of outstanding persons and civilizations. A Mat 452Z is the writing intensive version of A Mat 452; only one may be taken for credit.?? Prerequisite(s): A Mat 214, 326 or 326Z, and either 331 or 331Z or 432 or 432Z. Normally only the writing intensive version of this course is offered. Offered fall semester only.
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3.00 Credits
An overview of stochastic processes with particular emphasis on Markov chains. Introduction to queuing theory. Particular attention given to estimation. Recommended as partial preparation for actuarial exams M and C. Prerequisite(s): A Mat 367 or 367Z or 467. Offered spring semester only.
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3.00 Credits
A second or third course in statistics, focusing on simple and multiple regression and time series. Course carries VEE credit from the Society of Actuaries in applied statistics. A Mat 465Z is the writing intensive version of A Mat 465; only one may be taken for credit. Prerequisite(s): A Mat 220 and one of A Mat 308, A Mat 363 or A Mat 468. Offered in fall semester only.?
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