Syllabus:

Functions of several-variables, Directional derivative, Partial derivative, Total derivative, Jacobian, Chain rule and Mean-value theorems, Interchange of the order of differentiation, Higher derivatives, 

Taylor’s theorem, Inverse mapping theorem, Implicit function theorem, Extremum problems, Extremum problems with constraints, Lagrange’s multiplier method. 

Multiple integrals, Properties of integrals, Existence of integrals, iterated integrals, change of variables. 

Curl, Gradient, div, Laplacian cylindrical and spherical coordinate, line integrals, surface integrals, Theorem of Green, Gauss and Stokes. 

 Notes By Sumanth NR.