APPLIED MATHEMATICAL ANALYSIS 1: VECTOR AND COMPLEX CALCULUS
Vector analysis: algebra and geometry of vectors, index notation, 3D rotations, Euler angles; vector differential and integral calculus, theorems of Green, Gauss, and Stokes; grad, div, curl, and Laplacian in cylindrical and spherical coordinates; Complex analysis: analytic functions, Cauchy-Riemann equations, conformal mapping, complex integrals, residue theorem.
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