MA 200: Multivariable Calculus

Credits: 3:1


Prerequisite courses for Undegraduates: 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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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265
E-mail: chairman.math[at]iisc[dot]ac[dot]in