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Course Criteria
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3.00 Credits
Fourier series, orthogonal functions, integral transforms and boundary value problems. Prerequisite: 230 or 271. Credits: 3
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3.00 Credits
Properties of the real numbers, metric spaces, infinite sequences and series, continuity. Prerequisites: 52, 121, 124 or instructor's permission. Credits: 3
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3.00 Credits
Differentiation in Rn, Riemann-Stieltjes integral, uniform convergence of functions, Inverse and Implicit Function Theorems. Prerequisite: 241. Credits: 3
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3.00 Credits
Introduction to theoretical foundations of computer science. Models of computation. Church's thesis and noncomputable problems. Formal languages and automata. Syntax and semantics. Prerequisite: CS 104 or 124 (Cross listed with Computer Science 243.) Credits: 3
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3.00 Credits
Basic theory of groups, rings, fields, homomorphisms, and isomorphisms. Prerequisites: 52, 124 or instructor's permission. Credits: 3
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3.00 Credits
Modules, vector spaces, linear transformations, rational and Jordan canonical forms. Finite fields, field extensions, and Galois theory leading to the insolvability of quintic equations. Prerequisite: 251. Credits: 3
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3.00 Credits
Divisibility, prime numbers, Diophantine equations, congruence of numbers, and methods of solving congruences. Prerequisite: 52 or 54. Credits: 3
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3.00 Credits
Topics may include abstract group theory, representation theory, classical groups, Lie groups. Prerequisite: 251. Alternate years, 2000-01. Credits: 3
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3.00 Credits
Geometry as an axiomatic science; various non-Euclidean geometries; relationships existing between Euclidean plane geometry and other geometries; invariant properties. Prerequisite: 52 or 54. Credits: 3
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3.00 Credits
Gradient, curl and divergence, Green, Gauss, and Stokes Theorems, applications to physics, tensor analysis. Prerequisite: 121, 124 or 271. Credits: 3
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