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Course Notes

These course notes were written by Leah Keshet and are based on material taught in Math 103 over several years.

They are being updated over time. These notes are provided for all interested in learning. Copyrights are reserved by Keshet. Last update: January 2, 2010


  1. Table of Contents, Preface (pp i-xviii)
  2. Areas, volumes, and simple sums (pp 1-26)
  3. Areas, Riemann Sums, Definite integral (pp 27-41)
  4. The Fundamental Theorem of Calculus (pp 43 -60)
  5. Applications of the definite integral to velocities, and rates (pp 61-80)
  6. Applications of the definite integral to mass, volume and arclength (pp 81- 106)
  7. Techniques of integration (pp 107 -131)
  8. Discrete probability and the laws of chance (pp 133-152)
  9. Continuous probability distributions (pp 153-176)
  10. Differential equations (pp 177-198)
  11. Infinites series, improper integrals, and Taylor series (pp 199-220)
  12. Appendix and Index (pp 221-249)

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