Course Details

Country: Netherlands
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
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