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MATH 2924
Calculus II

Lecture Notes

The following are lecture notes designed for the Calculus II class at ATU. The topics follow the partition of the textbook "Calculus, Single and Multivariable" by Hughes-Hallett/Gleason et al. These notes have been improved and will continue to be. Please feel free to browse through them.

To Students: BEWARE! The notes posted here are those that I write for myself to bring to class so that if you miss class, you can see approximately what we covered. I will NOT be posting notes as they would appear in class. There will be many missing examples and explanations. This is not a replacement for coming to class and taking notes yourself.
§ 7.1 Integration by Substitution
§ 7.2 Integration by Parts
§ 7.3 Tables of Integrals
§ 7.4 Integration by Partial Fractions. Trigonometric Substitutions
§ 7.5 Numerical Approximations of Definite Integrals
§ 7.6 Simpson's Rule and Error Estimates
§ 7.7 Improper Integrals
§ 7.8 Comparison Tests for Improper Integrals
§ 8.1 Areas and Volumes: The method of slicing
§ 8.2 Solids of Revolution-Arc Length
§ 8.3 Polar Coordinates
§ 8.4 Density and Center of Mass
§ 8.5 Applications to Physics
§ 8.6 Definite Integrals: Applications to Economics
§ 8.7 Distribution Functions
§ 8.8 Probability: The Median and the Mean
§ 9.1 Sequences
§ 9.2 Geometric Series
§ 9.3 Convergence of Series
§ 9.4 Tests of Convergence
Page created and maintained by Marcel B. Finan
Last updated:October 14, 2008