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Course Criteria
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3.00 Credits
Interpolating polynomials, approximation methods, difference methods, numerical differentiation and integration, numerical solution of differential equations. Prerequisite: MTH 347 and 453/553.
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3.00 Credits
The single topic covered and the prerequisite varies; consult the instructor. Typical topics include parallel computation networks, error-correcting codes, probabilistic methods in combinatorics, and combinatorics of finite sets. Prerequisite: permission of instructor. Summer only.
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4.00 Credits
Departmental honors may be taken for a minimum of four semester hours and a maximum total of six semester hours, in one or more semesters of the student's senior year.
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3.00 Credits
Survey of topics that bear upon the nature of pure mathematics and logic. Special attention given to first-order mathematical logic with related discussions of such topics as mathematical linguistics, theory of effective computability, nonstandard analysis, and foundations of mathematics. Prerequisite: MTH 421 or 441 or permission of instructor.
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3.00 Credits
Topics in mathematics of a recreational nature, including algebraic puzzles, magic squares, network problems, and mathematical games. Other topics selected from computational tricks, geometric and topological problems, logic puzzles, and cryptography. Prerequisite: MTH 411 or 421 or permission of instructor.
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3.00 Credits
The Recursion Theorem, Cardinality, Cardinal Numbers, Well-orderings, Ordinals, The Axiom of Replacement, Transfinite Induction and Recursion, Ordinal Arithmetic, The Axiom of Choice, Cardinal Exponentiation, Ultrafilters, Stationary Sets. Prerequisites: MTH 222 and Calculus III.
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3.00 Credits
Elementary set theory and cardinality, metric spaces and topological spaces, sequence convergence, complete metric spaces, Baire Category Theorem, continuity, uniform continuity, bases for a topological space, first and second countability, relationships among separable, Lindelof and second countable properties, product topology, separation axioms, Urysohn's Lemma, Tietze Extension Theorem, compactness, characterizations of compactness in metric spaces, Tychonoff Theorem, local compactness, connectedness. Prerequisite: MTH 222 and Calculus III.
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3.00 Credits
Content selected to include some of the following: topology of surfaces (Klein bottle, Moebius strip, torus, etc.), fixed point theorems, vector fields, networks, homotopy, homology, knot theory. Prerequisite: MTH 491/591 or permission of instructor. Summer only; offered infrequently.
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3.00 Credits
Prerequisite: permission of department chair.
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3.00 Credits
For high school teachers. Selected topics, such as: algorithms, Boolean algebra, combinatorics, difference equations, functions, graphs, and networks. For students in mathematics and statistics programs, credit may only be applied to the degree Master of Arts in Teaching. Prerequisite: licensure in secondary school mathematics or permission of instructor. Summer only; offered every third summer.
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