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Course notes

These notes were written by Leah Keshet and are updated on an ongoing basis. Use of these notes is permitted for personal learning purposes. Copyrights reserved by Dr. Keshet (2005).

A list of typos and errors in the notes is available here.

Chapter 1: Areas, volumes and simple sums
Chapter 2: Areas continued
Chapter 3: The Fundamental Theorem of Calculus
Chapter 4: Applications of the definite integral to rates, velocities and densities
Chapter 5: Applications of the definite integral to calculating volume and length
Chapter 6: Techniques of Integration
Chapter 7: Mass distributions and center of mass
Chapter 8: Discrete probability and the laws of chance
-see Ch. 8 errata here
Chapter 9: Application of probability
Chapter 10: Continuous probability distributions
Chapter 11: Differential Equations
Chapter 12: Infinite series, improper integrals, and Taylor series