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# Problem Sets

The following collection of problems was arranged and edited over several years. Last updated: January 1, 2010

### Sections

- Summation: Adding up the pieces
- Areas and the definite integral
- The fundamental theorem of calculus
- Applications of definite integrals to rates, velocities, and densities
- More applications of definite integrals: mass, volume, arclength, etc
- 6. Techniques of antidifferentiation
- 7. Discrete probability
- 8. Continuous probability
- 9. Differential equations
- 10. Infinite series, improper integrals, and Taylor series

Please alert Leah Keshet to typos or errors.

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