Course general Description:
This course is mainly dealing with calculus of several variables, including the
following topics, Parametric equations and polar coordinates, calculus with
parametric and polar curves, and applications of parametric curves and polar
coordinates. Functions of several variables, limits and continuity, partial
derivatives, the chain rule, implicit differentiations, applications of partial
derivatives. Multiple integrals: Double integrals over rectangles, general regions,
polar coordinates, applications of double integrals. Triple integrals in boxes,
cylindrical, and spherical coordinates. Change of variables in multiple integrals.

Course Main Objective(s):
By the end of this course, the student will be able to deal with curves in
parametric form and change from Cartesian coordinates to polar coordinates and
vice versa. Sketch these curves, evaluate arc length and areas in polar
coordinates. Gain an intuitive understanding of multivariable functions and
perform partial differentiations. Evaluate integrals of functions over plane regions
and change the coordinates in multiple integrals.