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Course Criteria
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3.00 Credits
(3 cr) Lec 3. Prereq: CSCE 340, MATH 221 and 314. For course description, see CSCE 447/847.
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3.00 Credits
Lec. Prereq: MATH 310 or 325. Theory of enumeration and/or existence of arrangements of objects: Pigeonhole principle, inclusion-exclusion, recurrence relations, generating functions, systems of distinct representatives, combinatorial designs and other applications.
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3.00 Credits
Lec. Prereq: MATH 450, or permission and either MATH 310 or 325. Selected applications. Theory of directed and undirected graphs. Trees, circuits, subgraphs, matrix representations, coloring problems, and planar graphs. Methods which can be implemented by computer algorithms.
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3.00 Credits
Prereq: MATH 221, 314, and 322. Introduction to a selection of topics in modern differential manifolds, vector bundles, vector fields, tensors, differential forms, Stoke's theorem, Riemannian and semi-Riemannian metrics, Lie Groups, connections, singularities. Includes gauge field theory, catastrophe theory, general relativity, fluid flow.
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3.00 Credits
Semantical and syntactical developments of propositional logic, discussion of several propositional calculi, applications to Boolean algebra and related topics, semantics and syntax of firstorder predicate logic including Godel's completeness theorem, the compactness theorem.
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3.00 Credits
(3 cr) Lec 3. Prereq: MATH 221/821 and/or STAT/MATH 380 or STAT 880. Properties of stochastic processes and solutions of stochastic differential equations as a means of understanding modern financial instruments. Derivation and modeling of financial instruments, advanced financial models, advanced stochastic processes, partial differential equations, and numerical methods from a probabilistic point of view.
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3.00 Credits
Prereq: MATH 208 and permission.
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3.00 Credits
Prereq: Permission.
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1.00 - 4.00 Credits
Prereq: Open to graduate students and, with permission, to seniors and especially qualified juniors.
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3.00 Credits
Prereq: Admission to the MAT or MScT program in mathematics or to a graduate program in the College of Education and Human Sciences. Intended for middle-level mathematics teachers.
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