Techniques of integration: integration by substitution, integration by parts, integrating powers of trigonometric functions, trigonometric substitutions, integrating rational functions, partial fractions, rationalization, miscellaneous substitution, improper integrals. Application of the definite integral: areas, volumes, arc length, area of a surface of revolution. Sequences. Infinite series: geometric series, series convergence tests, alternating series, absolute convergence, conditional convergence, power series, Taylor and Maclaurin series, differentiation and integration of power series. Polar coordinates: polar curves, graphing in polar coordinates, areas in polar coordinates.

Textbook: James Stewart (2015) Calculus (Early Transcendentals), 8th Edition, Thomson, Metric international version.​

The following lecture-by-lecture notes were handwritten by Dr. Baha Alzalg. 

These materials might not be used for commercial purposes without my consent.