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Math 181, Calculus II
Supplemental Discussion & Study Aids

Study Guide  | Misc Homework Solutions  |  Chapter 7 | Chapter 8 | Chapter 9 | Maple | Web Resources


Chapter 7: Integration

Table of Integrals - (Also in PDF format - best for printing)
A short table of indefinite integrals, useful for evaluating standard integrals.
Partial Fractions - (Also in PDF format - best for printing)
A worked example to illustrate the method of integration using "partial fractions" and the two approaches for finding the coefficients.
Improper Integrals - (Also in PDF format - best for printing)
Summary with examples of evaluation of improper integrals.
Numerical Integration - (Also in PDF format - best for printing)
Overview of numerical approximations, along with summary of properties.

 


Chapter 8: Applications

Moments and Center of Mass - (In PDF format - best for printing)

Pressure and Total Force - (In PDF format - best for printing)

Income and Investment Streams - (In PDF format - best for printing)

 


Chapter 9: Series

Power Series: Intro & Examples - (In PDF format - best for printing)

Power Series: Standard Examples - (In PDF format - best for printing)

Power Series: Convergence - (In PDF format - best for printing)

Power Series: Convergence Tests - (In PDF format - best for printing)
This is a summary of ALL the test for convergence of a series. For the Final Exam, you are only required to know how to use the ratio test, but these supplemental tests may also be of further interest.
Fourier Series: Intro & Examples - (In PDF format - best for printing)

Fourier Series: Examples of Convergence - (In PDF format - best for printing)

 


Maple Resources

Maple V.6 Reference Card - (PDF format only)
Handy guide to basic Maple commands - compiled by Douglas Meade, University of South Carolina
MSCS Maple Resource Site
Offers an introduction to Maple for Calculus, and many helpful maple resources.

 


Web Resources

Fourier Series Play with the great Java Applet