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Course Criteria
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0.00 - 3.00 Credits
(3-0) Cr. 3. S. Prereq: Math 301 or 307 or 317 or Com S 330. Propositional and predicate logic. Topics selected from Horn logic, equational logic, resolution and unifi cation, foundations of logic programming, reasoning about programs, program specifi cation and verifi cation, model checking and binary decision diagrams. Nonmajor graduate credit.
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0.00 - 3.00 Credits
Cr. 3. F. Prereq : 266 or 267. A fastpaced course primarily for fi rst-year graduate students in physics and chemistry. Emphasis on techniques needed for quantum mechanics and electrodynamics. Functions of a complex variable and contour integration, integral transforms and applications, series methods for ordinary differential equations, Green's functions, Sturm-Liouville problems and orthogonal functions, boundary-value problems for partial differential equations. Nonmajor graduate credit.
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0.00 - 3.00 Credits
Cr. 3. F. Prereq : 307 or 317. Euclidean geometry. Points, lines, circles, triangles, congruence, similarity, properties invariant under rigid motions. Synthetic, analytic, and axiomatic methods. Nonmajor graduate credit.
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0.00 - 3.00 Credits
Cr. 3. S. Prereq: 435. Continuation of Euclidean geometry with topics from elliptic, projective, or hyperbolic geometry. Emphasis on analytic methods. Nonmajor graduate credit.
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0.00 - 3.00 Credits
Cr. 3. Alt. S., offered 2008. Prereq : 265. Topology of metric spaces; iterated function systems; algorithms for generation of fractals; fractal dimension; Julia sets and the Mandelbrot set; applications to chaotic systems. Nonmajor graduate credit.
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0.00 - 4.00 Credits
(4-0) Cr. 4. S.SS. Prereq: 265. Frequently applied concepts from multivariable calculus, presented with enough theory to promote understanding of applications. Topics may include derivative matrices, Taylor polynomials, curvilinear coordinates, Green's theorem, divergence theorem, Stokes's theorem, uniform convergence, operations on series and integrals, improper integrals. Nonmajor graduate credit.
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0.00 - 3.00 Credits
(3-0) Cr. 3. F.S. Prereq: Math 265 and either Math 266, or 267; knowledge of a programming language. Computational error, solutions of linear systems, least squares, similarity methods for eigenvalues, solution of nonlinear equations in one and several variables. Nonmajor graduate credit.
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0.00 - 3.00 Credits
(3-0) Cr. 3. S.SS. Prereq: Math 265 and either Math 266 or 267; knowledge of a programming language. Polynomial and spline interpolation, orthogonal polynomials, least squares, numerical differentiation and integration, numerical solution of ordinary differential equations. Nonmajor graduate credit.
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0.00 - 3.00 Credits
Cr. 3. S. Prereq: 6 credits in mathematics at the 300 level or above. Recommended credit or enrollment in 301 or 414. History of mathematical ideas found in the undergraduate curriculum. It includes a discussion of the historical and cultural settings in which these ideas arose, and the infl uence of the culture on the type of mathematical ideas that developed. Some of the particular cultures and their mathematics that are studied include: Babylonian and Ancient Egyptian. Ancient Greek, Arabic, Indian, Western European and Chinese. Nonmajor graduate credit.
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9.00 Credits
Cr. 1-3. Repeatable for maximum of 9 credits. Prereq: 301 or 317; 6 credits in mathematics. No more than 9 credits of Math 490 may be counted toward graduation. H. Honors
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