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Multivariable Calculus - Period 4+5 Social Sciences & Humanities Program Spring 2025 Semester - Amsterdam

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Multivariable Calculus - Period 4+5

Multivariable Calculus - Period 4+5 Course 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).


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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