Math 103 Course Notes (2010)

They are being updated over time. These notes are provided for all interested in learning. Copyrights are reserved by Keshet.

Last Update: Jan 2, 2010

• Table of Contents, Preface (pp i-xviii)

• 1. Areas, volumes, and simple sums (pp 1-26)

• 2. Areas, Riemann Sums, Definite integral (pp 27-41)

• 3.The Fundamental Theorem of Calculus (pp 43 -60)

• 4. Applications of the definite integral to velocities, and rates (pp 61-80)

• 5. Applications of the definite integral to mass, volume and arclength (pp 81- 106)

• 6. Techniques of integration (pp 107 -131)

• 7. Discrete probability and the laws of chance (pp 133-152)

• 8. Continuous probability distributions (pp 153-176)

• 9. Differential equations (pp 177-198

• 10. Infinites series, improper integrals, and Taylor series (pp 199-220)

• Appendix and Index (pp 221-249)