Math 122 - Calculus II, Winter 2011

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Instructor: Anatolii Grinshpan
Office hours:  MW 2-3, Korman 247, or by appointment, Korman 253

Syllabus   Root page  Wiley+        Academic calendar   Math resource center  Greg Naber’s notes 

Jan 3. Introduction to the course.  The method of exhaustion.

          Reading: 5.1

 

Jan 4. Antiderivative (indefinite integral).

 

Jan 5. Examples of integration.

 

Jan 6. Quiz 1 (5.2). Substitution in indefinite integral.

 

Jan 10. Substitution in indefinite integral.

 

Jan 11. Approximation of areas. Sigma notation.

 

Jan 12.  Approximation of areas. 

 

Jan 13. Quiz 2 (5.3, 5.4). The definite integral.

 

Jan 17. MLK day.

             Reading: 5.5

 

Jan 18. Riemann sums. Definite integrals via geometry.

 

Jan 19. Examples. The Fundamental Theorem of Calculus.

 

Jan 20. Quiz 3 (5.5, 5.6). Examples.

 

Jan 24. The Fundamental Theorem of Calculus.

 

Jan 25. Substitution in a definite integral.

 

Jan 26. Quiz 4 (5.6, 5.9).

 

Jan 27. Review guide. Old tests: S08 (answers), W09 (answers), W10 (answers).

 

Jan 28. Midterm 1: 8-8:50 AM, Matheson 109.

 

Jan 31. Area between curves.

 

Feb 1. Volume: solids of revolution.

 

Feb 2. Practice: area and volume.

 

Feb 3. Quiz 5 (6.1, 6.2)

 

Feb 7. Arc length integrals.

 

Feb 8. Integration by parts.

 

Feb 9. Quiz 6 (6.4, 7.2).

 

Feb 10. Review guide. Old tests: S08 (answers), W09 (answers, plot) , W10 (answers).

 

Feb 11. Midterm 2: 8-8:50 AM, Matheson 109.

 

Feb 14. Partial fractions.

 

Feb 15. Integration by partial fractions.

 

Feb 16. Examples. Improper integrals.

 

Feb 17. Quiz 7 (7.5, 7.8). Improper integrals.

 

Feb 21. Differential equations.

 

Feb 22. Separation of variables.

 

Feb 23. Quiz 8 (8.1, 8.2) (solutions and comments).

 

Feb 24. Review guide. Practice test: W10 (answers).

 

Feb 25. Midterm 3: 8-8:50 AM, Matheson 109.

 

Feb 28. Trigonometric integrals.

 

Mar 1. Trigonometric substitution.

 

Mar 2. Examples. Hyperbolic functions.

 

Mar 3. Quiz 9 (7.3, 7.4).

 

Mar 4. Makeup Exam: 8-8:50 A.M., Korman 247. 

               

Mar 7. Parametric equations.  Polar coordinates.

 

Mar 8. Polar curves. Animations. Quiz 10, due March 10.

 

Mar 9. Examples on arc length and area.

 

Mar 10. Example from class.

 

March 11. Office hours: 2-4, Korman 247.

                   Integration Bee: 4-5 P.M., Korman 245.

 

Mar 14. Review guide.  Old tests: W09 (answers), W10 (answers).

             (Formulas to be provided)

 

Mar 15. Final exam: 8-10 AM. Main Auditorium.