At the end of the course students are expected to:
Compute double integrals and use them to find certain areas and volumes. Use Rectangular, Cylindrical and Spherical Coordinates Systems to define space curves and surfaces in Cartesian and Parametric forms. Integrate functions of several variables. Examine vector fields and define and evaluate line integrals using the Fundamental Theorem of line integrals and Green’s Theorem; compute arc length. Define and compute the Curl and Divergence of vector fields and apply Green’s Theorem to evaluate line integrals. Compute surface integrals and flux integrals. Be able to use Stokes and Divergence theorems.