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Problem Sets

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


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

Please alert Leah Keshet to typos or errors.

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