Vector Analysis & Complex Analysis Lec. 1 (1-5)

AMATH 501: Vector Calculus and Complex Variables.

Applied Mathematics | Prof. Mark Kot | University of Washington.

Vector analysis (4 weeks): * Vector fields and vector calculus * Orthogonal curvilinear coordinates * Gradient, divergence, and curl * Line, surface, and volume integrals * Green's theorem, Stokes' theorem, and divergence theorem.

Complex analysis (6 weeks): * Complex numbers * Functions of a complex variable * Analyticity * Integration * Cauchy's theorem and the Cauchy integral formula * Taylor and Laurent series * Calculus of residues and contour integration * Fourier and Laplace transforms.

Category:

Education

Tags:

• Vector Analysis
• Complex Analysis
• Vector Calculus
• Complex Variables.

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