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Course Criteria
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A continuation of Mathematics 307. Further topics from group, ring, and field theory. Prerequisite: Mathematics 307 with a grade of C- or better. 1.00 units, Lecture
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Theory, development, and evaluation of algorithms for mathematical problem solving by computation. Topics will be chosen from the following: interpolation, function approximation, numerical integration and differentiation, numerical solution of nonlinear equations, systems of linear equations, and differential equations. Treatment of each topic will involve error analysis. Prerequisite: Computer Science 115, either MATH 132 or MATH 142, and any mathematics course numbered 200 or higher. 1.00 units, Lecture
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Introduction to combinatorics. Topics may include, but will not necessarily be limited to, computer representation of mathematical objects, enumeration techniques, sorting and searching methods, generation of elementary configurations such as sets, permutations and graphs, and matrix methods. Prerequisite: C- or better in Mathematics 228 or permission of instructor. 1.00 units, Lecture
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Differential geometry, projective geometry, non-Euclidean geometry, combinatorial topology, or such topics as the department may specify. May be repeated for credit with different topics. Prerequisite: C- or better in Mathematics 228 and Mathematics 231. 1.00 units, Lecture
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1.00 Credits
No Course Description Available. 1.00 units, Lecture
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1.00 Credits
No Course Description Available. 1.00 units, Lecture
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Introduction to the theory of graphs, with applications to real world problems. Topics may include, but are not necessarily restricted to: connectivity, paths and cycles, trees as information structures, digraphs and depth-first search, stability and packing problems, matching theory and schedules, transportation networks, Max-Flow-Min-Cut Theorem, planar graphs, color ability, and the four color problem. Admission to this course is usually contingent upon a student's having credit for Mathematics 228. Offered in alternate years. Prerequisite: C- or better in Mathematics 228 or permission of instructor. 1.00 units, Lecture
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Properties of the real number system, elementary topology, limits, continuity, uniform convergence, differentiation and integration of real-valued functions, sequences, and series of functions. Prerequisite: C- or better in Mathematics 228 or permission of instructor. 1.00 units, Lecture
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1.00 Credits
Further topics which may include Fourier analysis, general integration theory, and complex analysis. 1.00 units, Lecture
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Algebra of complex numbers, analytic functions and conformal mappings, integrals of analytic functions and Cauchy's theorem, expansion of analytic functions in series, calculus of residues. Prerequisite: C- or better in Mathematics 132. 1.00 units, Lecture
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