Multi Variable Calculus

Code: MA1510H | L-T-P-C: 3-1-0-4

Vector functions of one variable - continuity and differentiability; Scalar valued functions of several variables, continuity, partial derivatives, directional derivatives, gradient, differentiability, chain rule; Tangent planes and normals, maxima and minima, Lagrange multiplier method; Repeated and multiple integrals with applications to volume, surface area; Change of variables; Vector fields, line and surface integrals; Green’s, Gauss and Stokes theorems and their applications.

Texts:

• G. B. Thomas, Jr. and R. L. Finney, Calculus and Analytic Geometry, Pearson India, 9th Edition, 2006.

References:

• S. R. Ghorpade and B. V. Limaye, A Course in Multivariable Calculus and Analysis, Springer India, 2010.
• T. M. Apostol, Calculus, Volume 2, Wiley India, 2003
• J. E. Marsden, A. J. Tromba and A. Weinstein, Basic Multivariable Calculus, Springer India, 2002.