Math-203 (Differential and Integral Calculus)

Course description: 

Infinite Series, convergence and divergence of infinite series, integral test, ratio test, root test, and comparison tests. Conditional and absolute convergence, alternating series test. Power series, Taylor and Maclaurin series. Double integral and its applications to area, volume, moments and center of mass. Double integrals in polar coordinates. Triple integrals in rectangular, cylindrical and spherical coordinates and applications to volume, moment and center of mass. Vector fields, line integrals, surface integrals, Green’s theorem, the divergence theorem, Stoke’ theorem.