This course covers some topics in advance of calculus and how they can use to solve several problems by studying vectors, dot product, cross product, partial differentiation (real functions of several variables, limits, continuity, partial derivatives and differentials, chain rule, directional derivatives, maximum and minimum points, Lagrange multipliers). The courses focus also on multiple integrals (double and triple), multiple integrals in Cartesian and polar coordinates systems, change of variables of multiple integrals and applications, line integrals (Green's Theorem and Stokes' Theorem) and applications.
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