Math 122 - Calculus II, Winter 2015

Instructor: Anatolii Grinshpan
Office hours:  T 12-1 & R 12-2,  Korman 249.

Syllabus    Root page    Homework   Webwork    Calendar    Tutoring center    Greg Naber    MIT OCW

Jan 5.   Introduction to the course.  The method of exhaustion: area of a disk.

Jan 6.  Approximation of area. Question. Example. Problems.

Jan 7.  Definite integral via geometry.  Example. Problems.

Jan 9.  Quiz 1 (5.4, 5.5).

 

Jan 12. Antiderivatives: first examples. Problems.

Jan 13. Antiderivatives.

Jan 14. The Fundamental Theorem of Calculus. Example. Problems.

Jan 16. Quiz 2 (5.2, 5.6).

 

Jan 19. MLK day.

Jan 20. Change of variables in indefinite integrals.  Example. Problems.

Jan 21. Change of variables in definite integrals. Exercise. Problems.

Jan 23. Quiz 3 (5.3, 5.9). Caution.

 

Jan 26. Area between curves. Example. Problems.

Jan 27. Area between curves. Example.

Jan 28. Practice problems. Question.

Jan 30. Quiz 4 (6.1).

 

Feb 2. Midterm 1, 8-8:50AM, CAT 61. Solids of revolution.

Feb 3. Volumes by slicing. Exercise. Question. Problems.

Feb 4. Arc length. Parabolic arcExercise. Problems.

Feb 6. Quiz 5 (6.2, 6.4).

 

Feb 9.  Work. Hooke’s law. Problems.

Feb 10. Lifting and pumping problems. Leaking bucket.

Feb 11. Integration by parts. Example. Problems.

Feb 13. Quiz 6 (6.6, 7.2).

 

Feb 16. Integration by parts. Example. Example.

Feb 17. Simple partial fractions. Problems.

Feb 18. Partial fraction decomposition. Examples. 22 over 7. Questions.

Feb 20. Quiz 7 (7.2, 7.5).

 

Feb 23. Improper integrals.  Example. Problems.

Feb 24. Separation of variables. Example. Problems.

Feb 25. Practice problems. Old exams: 14, 13.

Feb 27. Quiz 8 (7.8, 8.2).

                                                                      

Mar  2. Midterm 2, 8-8:50AM, CAT 61.

Mar  3. Trigonometric integrands. Problems.

Mar  4. Trigonometric substitution. Example. Example. Problems.

Mar  6. Quiz 9 (7.3, 7.4).

 

Mar  9.  Parametric equations. Example. Problems.

Mar 10. Polar equations. Problems. Gallery of polar curves.

Mar 11. Length and area for polar curves.  Cardioid.  Example. Problems.

Mar 13. Quiz 10 (10.1, 10.2, 10.3).

 

Mar 16.  Questions session. 2011 final.

Mar 19. Office hours 10-Noon, Korman 249.

Mar 20.  Final exam, 10:30-12:30, CAT 61