# Math 122 - Calculus II, Winter 2014

Instructor: Anatolii Grinshpan
Office hours:  TR 12-1 & W 1-2, Korman 249, or by appointment, Korman 253.

Jan 6.   Introduction to the course.  The method of exhaustion: area of a disk (5.1).

Jan 7.   Approximation of area. Left and right rectangles. Midpoint rectangles.

Jan 8.   Sigma-notation. Example. Summing integers. Summing squares. Summing cubes.

Jan 10. Quiz 1 (Homework 1, Section 5.4).

Jan 13. Definite integral via geometry (5.5). Example. Sector+triangle. Question.

Jan 14. Antiderivative (5.2). The Fundamental Theorem of Calculus (5.6).  Newton-Leibniz vs Riemann.

Jan 15. Indefinite integration: examples (5.2).

Jan 17. Quiz 2 (Homeworks 2, 3, Sections 5.5, 5.2).

Jan 20. MLK day.

Jan 21. Snow.

Jan 22. Classes cancelled.

Jan 24. Examples on FTC (5.6). Substitution: indefinite integrals (5.3). Example.

Jan 27. Quiz 3 (Homeworks 4, 5, Sections 5.3, 5.6). Substitution: definite integrals (5.9). Exercise.

Jan 28. Area between curves (6.1). Example.

Jan 29. Examples and practice.

Jan 31. Midterm: 8-8:50 AM, Randell 327. (5.2-5.6, 5.9, 6.1). Solids of revolution (6.2).

Feb 3.  Snow.

Feb 4.  Volume by slicing. Exercise.

Feb 5.  Arc length (6.4). Question.

Feb 7.  Quiz 4 (Homework 8, Section 6.2).

Feb 10. Arc length. Parabolic arc. Exercise.

Feb 11. Work (6.6). Hooke’s law.

Feb 12. Work: lifting and pumping. Leaking bucket. Hydrostatic pressure.

Feb 14. Quiz 5 (Homeworks 9, 10, Sections 6.4, 6.6).

Feb 17. Integration by parts (7.2).

Feb 18. Integration by parts. Example.

Feb 19. Partial fractions (7.5).

Feb 21. Quiz 6 (Homeworks 11, 12, Sections 7.2, 7.5).

Feb 24. Partial fractions. Examples. 22 over 7. Questions.

Feb 25. Improper integrals (7.8). Example.

Feb 26. Practice.

Feb 28. Midterm: 8-8:50 AM, Randell 327. (6.2, 6.4, 6.6, 7.2, 7.5, 7.8). Separation of variables (8.2).

Mar 3.  Separation of variables. Example.

Mar 4. Trigonometric integrals (7.3).

Mar 5. Trigonometric substitution (7.4). Example.

Mar 7. Quiz 7 (Homeworks 14, 15, Sections 8.2, 7.3).

Mar 10. Parametric equations (10.1). Example.

Mar 11. Polar equations (10.2). A gallery of polar curves.

Mar 12. Length and area in polar coordinates (10.3). Cardioid. Example.

Mar 14. Quiz 8 (Homeworks 18, 19, Sections 10.2, 10.3). Example.

Mar 17. Practice.

Mar 20. Final exam: 1-3 PM, Main auditorium.