Additional material for the course can be found here.

• Lecture 5: Series . This is additional material for Sections 11.2 - 11.10 of the textbook. New version posted March 13.
• Lecture 4: Sequences . This is additional material for Section 11.1 of the textbook.
• Lecture 3: Improper integral. The Gamma function . This is additional material for Section 7.8 of the textbook.
• Lecture 2: Techniques of Integration, last updated on Jan 22, 2013. This is supplementary material to Sections 7.1 and 7.4 of the textbook.

  [Appendix: Factorization of polynomials. This is optional reading for Section 7.4 of the texbook. This material will not appear on exams or homework assignments; it is intended for those who are interested in further understanding of the theory behind decomposition of rational functions into partial fractions.]

• Lecture 1: The Mean Value Theorem. This is supplementary material for Chapter 4. The notes also contain 16 practice problems listed at the end of the text. (Last updated on Feb 4, 21:28 PM.)

1. Sets
2. The exponential function
3. Limits : Part 1
4. Limits : Part 2
5. What is e?
6. Induction
7. Area and Riemann sums