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Calculus II Challenge


Topics (CTs):

Methods of Integration: substitution, by parts and by partial fractions.

Applications of integrations in geometry and engineering: volume using disks and shells, work done by a variable force, electric charges, force by liquid pressure, and arc length of a curve.

Sequences and Series: Finite and infinite geometric sequences, and infinite series.

Maclaurin and Taylor series:Expansion of functions in series using Maclaurin and Taylor series.

Parametric curves and Polar coordinates:Parametric curves, polar coordinates and curves in polar coordinates.

Operation using complex numbers: Complex numbers, Graphical representation of Complex numbers, polar and exponential forms of complex numbers.