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Multivariable Calculus - Period 4+5 Course Overview
OVERVIEW
CEA CAPA Partner Institution: Vrije Universiteit Amsterdam
Location: Amsterdam, Netherlands
Primary Subject Area: Mathematics
Instruction in: English
Course Code: XB_41008
Transcript Source: Partner Institution
Course Details: Level 100
Recommended Semester Credits: 3
Contact Hours: 84
Prerequisites: Single Variable Calculus (XB_41007).
DESCRIPTION
This course deals with the calculus of functions of several variables. In particular, we cover: * parametrized curves and arc length * planes and lines * functions of several variables and level sets * partial derivatives, gradients and directional derivatives * tangent planes and multivariable Taylor polynomials * the multivariable chain rule * the implicit and inverse function theorem * optimization and optimization under constraints * 2D integrals, order of integration * 3D integrals, cylindrical and spherical coordinates * changes of variables * vector fields * line integrals and surface integrals * parametrized hyper-sufaces and manifolds * differential k-forms * (the general) Stokes theorem and the classical integral theorems of Gauss, Green and Stokes
Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.
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