Course Details
Country:
Netherlands
Institution:
Free University of Amsterdam
Course Title:
Multivariable Calculus
Course Number:
XB_41008
Course Description:
At the end of this course students will be able to ...
1. ... differentiate functions of several variables (partial
derivatives), find local extreme values and use these to graph
functions;
2. ... parametrize curves and surfaces;
3. ... apply the implicit and inverse function theorem;
4. ... calculate and investigate multivariable Taylor polynomials of
functions of several variables;
5. ... calculate multivariable integrals (2D and 3D integrals) using
appropriately chosen methods, such as the substitution method,
integration by parts and changing the order of integration;
6. ... investigate vector fields and line integrals;
7. ... work with differential k-forms;
8. ... formulate (the general) Stokes theorem and derive the classical
integral theorems of
Gauss, Green and Stokes;
9. ... write down the arguments involved in solving a calculus problem
in a logically correct manner.
Language:
English
Approved Equivalent:
MATH 213
Attachment Files: