Calculus: Syllabus

Syllabus:

1. Functions of single variable, limit, continuity and differentiability, mean
   value theorems, indeterminate forms; 
2. Evaluation of definite and improper integrals;
3. double and triple integrals; 
4. partial derivatives, total derivative, Taylor series (in one and two variables), maxima and minima, Fourier series; 
5. gradient, divergence and
   curl, vector identities, directional derivatives, line, surface and volume integrals, applications of Gauss, Stokes and Green’s theorems.