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Multivariable Calculus - Period 4+5
概述
CEA CAPA Partner 机构: Vrije Universiteit Amsterdam
地点: Amsterdam, 荷兰
Primary Subject Area: 数学
指令: 英语
课程代码: XB_41008
Transcript Source: Partner 机构
课程详细信息: 100级
Recommended Semester Credits: 3
联系时间: 84
先决条件: Single Variable Calculus (XB_41007).
描述
This course deals with the calculus of functions of several variables.
In particular, we cover:
* parametrized curves and arc length
*平面和直线
* 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
*向量场
* 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
联系 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.
In particular, we cover:
* parametrized curves and arc length
*平面和直线
* 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
*向量场
* 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
联系 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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