## Math 121 - Calculus I, Fall 2011

Instructor: Anatolii Grinshpan
Office hours:  W 3-4, Korman 247, or MTR 3-5 walk in, Korman 253.

Sep 19. Introduction to the course.

Sep 20. Functions: domain and range. Examples.

Sep 21. Quiz 1 (0.1). Operations on functions.

Sep 22. Composition and its domain.

Reading assignment: Appendix B ( + problems ).

Sep 26. Examples on trigonometry.

Sep 27. The inverse function. Inverse trigonometric functions.

Sep 28. Exponentials and logarithms.

Sep 29. Quiz 2 (0.2, Appendix B, 0.4).

Oct 3. Limits.

Oct 4. Examples and questions. Old exams: F08 (answers), F10 (answers). MC sample.

Oct 5. Midterm 1: 8-8:50 AM, Nesbitt 125. Regular class: Evaluation of limits.

Oct 6. Quiz 3 (take-home, due Tuesday). Local analysis. Limits at infinity.

Oct 10. No class (Columbus Day).

Oct 11. Continuity at a point.

Oct 12. Facts and examples on continuity.

Oct 13. Quiz 4 (1.5, 1.6). Trigonometric limits.

Oct 17. Tangent line and rate of change.

Oct 18. Examples and questions. Old exams: F08 (answers), F09 (answers). MC sample.

Oct 19. Midterm 2: 8-8:50 AM, Nesbitt 125. Regular class: the derivative.

Oct 20. Quiz 5 (take-home, due Monday). Rules of differentiation.

Oct 24. Rules of differentiation. Derivatives of trigonometric functions.

Oct 25. The chain rule.

Oct 26. Implicit differentiation.

Oct 27. Quiz 6 (2.3, 2.4, 2.5, 2.6).

Oct 31. Practice.

Nov 1. Example from class. Old exams: F08 , F09 (answers), F10 (answers) .

Nov 2. Midterm 3: 8-8:50 AM, Nesbitt 125. Regular class: the derivative of a logarithm.

Nov 3. Logarithmic differentiation. The derivative of an exponential.

The derivative of the inverse function. Quiz 7 (take-home, due Monday Tuesday).

Nov 7. The derivative of arcsin, arccos, and arctan. Related rates.

Nov 8. Related rates.

Nov 9. Local linear approximation. Differentials.

Nov 10. Quiz 8 (3.4).

Nov 14. Relative error.  l’Hôpital’s rule.

Nov 15. Evaluation of indeterminacies.

Nov 16. Analysis of functions: critical points, local extrema.

Nov 17. Quiz 9 (3.5, 3.6)

Nov 21. Analysis of functions: asymptotes, concavity, inflections.

Nov 22. Analysis of functions: examples. Quiz 10 (take-home, due Monday).

Nov 28. Cusps and vertical tangents. Absolute extremum.

Nov 29. Optimization.

Nov 30. Examples on optimization.

Dec 1.   Quiz 11 (4.4, 4.5).