CALCULUS II


Class Schedule

Month/Day Title Subjects
December 11Derivatives of Functions with Several Variables
5.1, 5.2, 5.3
Continuity, patial derivatives, total derivatives
18Derivatives of composit functions and higher order derivatives
5.4, 5.5
Jacobi matrix
January 8Applications of Derivatives of Functions with Several Variables
6.1, 6.2, 6.3, 6.4
Implicit function theorem, inverse function theorem, Talor's theorem, extremums
22Integrals of Functions with Several Variables
7.0, 7.1, 7.2
Multiple integrals
29Evaluation of Multiple Integrals
7.3, 7.4
Change of variables and Jacobian
February 5Application of Integrals of Functions with Several Variables
8.1, 8.2
Volumes and surfaces of solids
12Series
9.1, 9.2, 9.3
Absolute convergence, radius of convergence
19Power Series
9.4
Abel's theorem
26Review

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Text Book

Arima, Ishimura, "Yokuwakaru Bibun Sekibun", Tokyo-Tosho (in Japanese)

Many problems with complete solution.

Reference

Takagi, T., "Kaisaki Gairon", Iwanami Publ.

Classic. For students with theoretical interests.


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