203M Differential and Integral Calculus

 

Prerequisite: M106 and M107.

 Language of instruction: English

 

Infinite series, convergence and divergence of infinite series, integral

test, ratio test, root test and comparison test. Conditional convergence and

absolute convergence, alliterating series test. Power series, Taylor and

Maclaurin series. Double integral and its applications to area, volume,

moments and centre of mass. Double integrals in polar coordinates. Triple

integral in rectangular, cylindrical and spherical coordinates and applications

to volume moment and centre of mass. Vector fields, line integrals, surface

integrals, Green's theorem, the divergence theorem, Stoke' theorem.