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Course Criteria
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3.00 Credits
Groups, rings, fields, vector spaces modules, linear transformations, and Galois theory. Prerequisite: MATH 2419. (3-0) Y
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3.00 Credits
Continuation of Math 3311. Prerequisite: MATH 3311. (3-0) Y
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3.00 Credits
Elements of Euclidean, non-Euclidean, and projective geometry. Topics covered will be drawn from the following list: triangles and their distinguishing points, Euler line, nine point circle, extremum problems, circles and spheres, inversions, the circles of Apollonius, projective geometry, axioms of the projective plane, Desargues's theorem, conics, elementary facts of the non-Euclidean geometries. Prerequisite: MATH 2419. (3-0) Y
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3.00 Credits
Geometry and algebra of complex numbers, functions of a complex variable, power series, integration, calculus of residues, conformal mapping. Prerequisites: MATH 2451 and 3310. (3-0) Y
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3.00 Credits
Sets, real number system, metric spaces, real functions of several variables. Riemann-Stieltjes integration and other selected topics. Prerequisites: MATH 2451 and 3310. (3-0) Y
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3.00 Credits
Continuation of Math 4301. Prerequisite: MATH 4301. (3-0) Y
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3.00 Credits
Topics covered include introduction to Unix shells, basic and advanced use of Matlab for mathematical and scientific problem solving. Course is conducted in a computer classroom and assignments include applications in numerical and statistical analysis, image processing, and signal processing. Prerequisites: MATH 2418 and MATH 2419 or equivalent. (3-0) S
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3.00 Credits
Solution of linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, solution of ordinary differential equations; computer arithmetic and error analysis. cannot get credit for both CS/MATH 4334 and CE/EE/TE 4334. Prerequisites: MATH 2418, 2451, and CS 1337 or equivalent knowledge of a high-level programming language. (Same as CS 4334) (3-0) Y
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3.00 Credits
Elements of general topology, topological spaces, continuous functions, connectedness, compactness, completeness, separation axioms, and metric spaces. Prerequisites: MATH 2451 and 3310. (3-0) Y
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3.00 Credits
Topics include some frequently used tools in applied mathematics: Laplace and Fourier transforms, special functions, systems, signals, and their applications in physical sciences and engineering. Prerequisites: MATH 2418 and 2420. (3-0) T
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