Course Details

1 Title of the course
(L-T-P-C)
Calculus II (2nd Half)
(3-1-0-4)
2 Pre-requisite courses(s) Calculus I
3 Course content Partial Derivatives, gradient and directional derivatives, Chain rule, Maxima and Minima, Lagrange multipliers. Double and Triple integration, Jacobians and change of variables formula. Parametrization of Curves and Surfaces, Vector fields, Line and Surface integrals.
Divergence and Curl, Theorems of Green, Gauss, and Stokes
4 Texts/References
  1. B.V. Limaye and S. Ghorpade, A Course in Multivariable Calculus and Real Analysis, Springer International Publishing (2010)
  2. James Stewart, Calculus (5th Edition), Thomson Brooks/Cole (2003)
  3. T. M. Apostol, Calculus, Volume 2, Wiley Eastern (1980)
  4. Marsden and Tromba, Vector calculus (First Indian Edition), Springer (2012)