### MA 200: Multivariable Calculus

#### 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.

#### All Courses

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 23 Oct 2020