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MATH 122B: Introduction to Theory of Complex Variables
4.00 Credits
University of California-Santa Barbara
Complex numbers, functions, differentiability, series extensions of elementary functions, complex integration, calculus of residues, conformal maps, mapping functions, applications.
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MATH 122B - Introduction to Theory of Complex Variables
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MATH 124A: Partial Differential Equations
4.00 Credits
University of California-Santa Barbara
Wave, heat, and potential equations.
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MATH 124A - Partial Differential Equations
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MATH 124B: Fourier Series and Numerical Methods
4.00 Credits
University of California-Santa Barbara
Fourier series; generalized functions; and numerical methods.
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MATH 124B - Fourier Series and Numerical Methods
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MATH 132A: Introduction to Operations Research
4.00 Credits
University of California-Santa Barbara
Linear programming, the simplex method, duality, applications to the transportation and assignment problems, sensitivity analysis, problem formulation.
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MATH 132A - Introduction to Operations Research
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MATH 137A: Graph and Network Theory
4.00 Credits
University of California-Santa Barbara
Elements of graph and network theory including paths, circuits, trees, coloring, planarity, matching theory, Hall's theorem, applications to scheduling theory, flows in networks, Menger's theorem, and other topics astime permits.
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MATH 137A - Graph and Network Theory
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MATH 137B: Graph and Network Theory
4.00 Credits
University of California-Santa Barbara
Elements of graph and network theory including paths, circuits, trees, coloring, planarity, matching theory, Hall's theorem, applications to scheduling theory, flows in networks, Menger's theorem, and other topics astime permits.
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MATH 137B - Graph and Network Theory
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MATH 145: Introduction to Topology
4.00 Credits
University of California-Santa Barbara
Metric spaces, continuity, compactness, classification of surfaces, Euler characteristics, and fundamental groups. Additional topics at the discretion of the instructor.
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MATH 145 - Introduction to Topology
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MATH 147A: Introductory Differential Geometry
4.00 Credits
University of California-Santa Barbara
Curves and surfaces in three-dimensional Euclidean space, first and second fundamental forms, Gaussian and mean curvature, geodesics, Gauss-Bonnet theorem, and non-Euclidean geometry.
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MATH 147A - Introductory Differential Geometry
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MATH 193: Internship in Mathematics
1.00 - 4.00 Credits
University of California-Santa Barbara
Faculty sponsored academic internship in industrial or research firms.
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MATH 193 - Internship in Mathematics
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MATH 197A: Senior Thesis
1.00 - 4.00 Credits
University of California-Santa Barbara
Independent research under the supervision of a faculty member which will result in a senior thesis. Student will concentrate on reading and gathering material for a thesis.
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MATH 197A - Senior Thesis
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