# Math 122 - Calculus II, Winter 2012

Instructor: Anatolii Grinshpan
Office hours:  MF 1-2 & W 2-3, Korman 247, or by appointment, Korman 253

Jan 9. Introduction to the course.  The method of exhaustion: area of the disk.

Jan 10. Antiderivative. Indefinite integral. Exercise 1.

Jan 11. Substitution in indefinite integral.

Jan 12. Quiz 1 (5.1, 5.2). Examples.

Jan 16. MLK day.

Jan 17. Approximation of area. Left endpoint, right endpoint, and midpoint sums.

Jan 18. Approximation of area.

Jan 19. Quiz 2 (5.3, 5.4). Sigma-notation. An example. Exercise 2. Exercise 3.

Jan 23. Definite integrals via geometry. Exercise 4 . Exercise 5. Exercise 6.

Jan 24. The Fundamental Theorem of Calculus. Newton-Leibniz vs Riemann.

Jan 25. Examples.

Jan 26. Quiz 3 (5.5, 5.6). Substitution in a definite integral.

Jan 30. Substitution in a definite integral. Exercise 7. Hyperbolic functions.

Feb 1.  Midterm 1: 8-8:50 AM, Randell 327. (answers)  Cavalieri’s principle. Area between curves.

Feb 2.  Volumes by slicing. Quiz 4 (6.1, 6.2): take-home, due Monday.

Feb 6. Volume of revolution. Exercise 8. Minimization of volume.

Feb 7. Arc length integrals. Exercise 9. The arc length of a parabola.

Feb 8. Examples. Integration by parts. Exercise 10.

Feb 9. Quiz 5 (6.2, 6.4). Integration by parts.

Feb 13. Integration by parts.

Feb 14. Examples. Complementing areas.

Feb 15. Examples. Partial fractions.

Feb 16. Quiz 6 (7.2). Partial fractions. Examples.  A variant of use.

Feb 20. Improper integrals. Example.

Feb 21. Improper integrals.

Feb 22. Differential equations.

Feb 23. Quiz 7 (7.5, 7.8). Separation of variables.

Feb 27. Separation of variables.

Feb 29. Midterm 2: 8-8:50 AM, Randell 327 (answers). Trigonometric integrals.

Mar 1.  Trigonometric integrals. Quiz 8 (7.3, 7.4): take-home, due Monday Tuesday. (answers)

Mar 5. Trigonometric substitutions.

Mar 6. Parametric curves: tangent lines and arc length.

Mar 7. Polar curves.

Mar 8. Polar curves. Quiz 9 (10.1, 10.2): take-home, due Monday. (answers)

Mar 12. Arc length and area in polar coordinates. Cardioid. Example.

Mar 13. Examples. Squaring a crescent.

Mar 14. Exponential model.

Mar 15. Quiz 10 (10.3) (answer)

Mar 16. Integration Bee: 4-5 PM, Korman 245