Last Updated: 25 December 2018
Differential and Integral Calculus

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Course No. & Code: 
MATH 2030
Course Type: 
Infinite series, convergence and divergence of infinite series, integral test, ratio test, root test and
comparison test. Conditional convergence 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 integral 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’s theorem.