Calculus I and II together construct a general introduction to calculus. Topics in Calculus II cover logarithmic, exponential, and trigonometric functions; growth and decay, inverse trigonometric functions, related rates; basic techniques of integration related to area and volume, polar coordinates; parametric equations; sequences and series; Taylor's series with the remainder; the mean value and inverse function theorem, elementary transcendental functions, and methods of integration.

Calculus: Early Transcendentals, 8th Edition by James Stewart