By the end of the course, a student expect to learn the concepts of

•  multivariable integration; double-triple integrals
• parametrization of lines and surfaces,
• line integrals and surface integrals,
• the concept of gradient, divergence and curl, 
• some important theorems such as Green's, Stokes' and Divergence theorems.

Also a student should be able to do basic calculations related to the above concepts and be able to use above mentioned theorems.