Math 122 – Integral Calculus, Spring 2016

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

Syllabus    Main page    Tutoring center    Greg Naber    MIT OCW

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. Parabolic arc.

 

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.               Midterm 2: 8-8:50 AM, PISB 120.

May 26. Polar equations. Problems. Gallery of polar curves.

 

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.