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Course Criteria
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3.00 Credits
Prerequisite: MATH 182. A survey of the development of classical mathematics from ancient times to calculus, together with selected topics from the history of modern mathematics. (Winter, odd years)
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3.00 Credits
Prerequisite: MATH 182. Introduction to dynamical systems, solutions of various types of ordinary differential equations, systems of linear differential equations, the Laplace transform, applications to problems in the physical sciences. (Winter)
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3.00 Credits
Prerequisite: MATH 315. Partial differential equations, Fourier series, boundary value problems, Bessel functions, Legendre polynomials. (Fall, even years)
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3.00 Credits
Prerequisites: MATH 218, 219. An introduction to the theory of analytic functions of a complex variable, including mappings by elementary functions, complex integration, the Cauchy-Goursat theorem, Cauchy's integral formula, power series, Laurent series, the theory of residues, and conformal mapping. (Winter, even years)
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3.00 Credits
Prerequisites: MATH 218, 219. The structure of groups, rings, integral domains, and fields. (Fall, even years)
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2.00 Credits
Prerequisites: MATH 200, 219. Finite dimensional vector spaces and the attendant concepts of systems of linear equations, linear transformations, matrices, determinants, eigenvalues and eigenvectors, inner product spaces. (Winter, odd years)
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3.00 Credits
Prerequisite: MATH 182. Basic probability theory, combinatorial problems, independence and dependence, numericalvalued random phenomena, mean and variance of a probability law, normal, Poisson, and related probability laws. (Fall, even years)
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3.00 Credits
Prerequisites: MATH 215, 218, 325. Random variables, conditional probability, standard distributions of random variables, distributions of functions of random variables, interval estimation, point estimation. (Winter, odd years)
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3.00 Credits
Prerequisites: MATH 218, 219. The real number system, sequences, limits and metric spaces, continuity, uniform continuity, introduction to point set topology, properties of the derivative and integral, convergence and uniform convergence of sequences and series of functions, orderings. (Fall, odd years; Winter, even years)
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3.00 Credits
Prerequisite: MATH 219. Topics selected from the following: Euclidean geometry, axiomatic systems and finite geometries, transformational geometry, hyperbolic geometry, projective geometry, other non- Euclidean geometries, applications of geometry. (Fall, odd years)
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