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Content
Course Catalog
Vector analysis (4 weeks)
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Vector fields and vector calculus
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Orthogonal curvilinear coordinates
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Gradient, divergence, and curl
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Line, surface, and volume integrals
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Green's theorem, Stokes' theorem, and divergence theorem.
Complex analysis (6 weeks)
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Complex numbers
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Functions of a complex variable
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Analyticity
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Integration
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Cauchy's theorem and the Cauchy integral formula
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Taylor and Laurent series
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Calculus of residues and contour integration
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Fourier and Laplace transforms.
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