# Math 122 – Integral Calculus, Spring 2016

Instructor: Anatolii Grinshpan
Office hours:  Tu 12-2 & Th 1-2,  Korman 249.

Mar 28. Introduction to the course. The indefinite integral. Problems.

Mar 29. Examples of antidifferentiation.

Mar 30. Change of variables in indefinite integral.  Example. Problems.

Mar 31. Quiz 1 (5.2, 5.3).

Apr   4. Approximation of area. Method of exhaustion: disk area.

Apr   5. Left, right, and midpoint rectangles. Example. Problems.

Apr   6. The definite integral as area.  Problems.

Apr   7. Quiz 2 (5.4, 5.5).

Apr 11. The Fundamental Theorem of Calculus. Example. Problems.

Apr 12. Examples. Properties of the area function.

Apr 13. Change of variables in definite integral.  Exercise. Problems.

Apr 14. Quiz 3 (5.6, 5.9).

Apr 18. Area between curves.  Example.  Problems.

Apr 19. Calculation of volumes.  Question. Problems.

Apr 20. Examples.

Apr 21. Quiz 4 (6.1, 6.2).

Apr 25. Examples and practice.

Apr 26. Examples and practice.

Apr 27. Arc length.  Problems.                                                 Midterm 1: 8-8:50 AM, PISB 120.

Apr 28. Exercise

May  2. Work Hooke’s law. Problems.

May  3. Lifting and pumping problems.  Leaking bucket.

May  4. Integration by parts. Example.  Example. Problems.

May  5. Quiz 5 (6.4, 6.6).

May  9. Trigonometric integrals. Examples. Problems.

May 10.Trigonometric substitution. Problems.

May 11. Examples and practice. Example. Example.

May 12. Quiz 6 (7.2, 7.3).

May 16. Simple partial fractions. Problems.

May 17. Partial fraction decomposition. Examples. Questions.

May 18. Improper integrals.  Example. Problems.

May 19. Quiz 7 (7.4, 7.5).

May 23. Separation of variables. Example. Problems.

May 24. Examples and practice.

May 25. Parametric equations. Example. Problems.8-8:50 AM, PISB 120.

May 26. Polar equations. Problems.

May 30. Memorial day.

May 31. Tracing polar curves.

June   1. Length and area for polar curves. Cardioid. Example. Problems.

June   2. Quiz 8 (10.1, 10.2, 10.3).

June   3. Office hours 2-4, Korman 249.

June   6. Examples and questions.

June   7. Final exam: 8-10AM, Bossone.