Department of Mathematics

INDIAN INSTITUTE OF SCIENCE

MA 200: Multivariable Calculus

Credits: 3:1

Prerequisite courses for Undergraduates: UM 204

Functions on $\R^n$ , directional derivatives, total derivative, higher order derivatives and Taylor series.The inverse and implicit function theorem, Integration on $\R^n$ , differential forms on $\R^n$ , closed and exact forms. Green’s theorem, Stokes’ theorem and the Divergence theorem.

Suggested books and references:

1. Rudin, Principles of Mathematical Analysis, McGraw-Hill, 1986.
2. B. V. Limaye and S. Ghorpade, A course in Calculus and Real Analysis, Springer.
3. Spivak, M., Calculus on Manifolds, W.A. Benjamin, co., 1965.

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