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MAT 240 Advanced Calculus (4 credits)

This course covers three main groups of topics. I) Calculus of functions from Rn to Rk: Differentials, Inverse Function Theorem, Implicit Function Theorem, Jacobian, change of variables. II) Vector calculus. Vector fields, line and surface integrals, Green’s Theorem, Stokes’s Theorem, the Divergence Theorem. III) Sequences and series of functions. Pointwise and uniform convergence; continuity, differentiation and integration of sequences and series; Fourier series; Taylor series for functions of several variables.

Prerequisite: MAT 213 or equivalent.