# Math 121 - Calculus I, Fall 2008

Instructor: Anatolii Grinshpan
Office hours:  Tue, Thu 4-5, Korman 247

Sept 22. Introduction to the course. Functions. Domain and range. Examples.

Sept 23. Domain of the sum, difference, product, and quotient.

Sept 24. Translation and stretching. Composition of functions.

Sept 25. Quiz 1 (Sections 1.1, 1.3). Inverse functions. Trigonometry.

Sept 29. Inverse trigonometric functions.

Sept 30. Exponential and logarithmic functions.

Oct 1. Limits: definition and examples.

Oct 2. Quiz 2 (Section 1.6). Limits (continued).

Oct 6. Limits at infinity.

Oct 7. Continuity. Intermediate Value Theorem. Continuity of trigonometric functions.

Oct 8. More on inverse trigonometric functions. Squeeze theorem. Limits of compositions.

Oct 9. Quiz 3 (Sections 2.1-2.3). Practice session.

Oct 13. Columbus day.

Oct 14. Practice session. Old exams: Fall 06, Fall 07. Answers to Fall 07 test. An example on inverse functions.

Oct 15. Regular class: test discussion. Answers.

Oct 16. Rate of change. Derivative: definition, interpretation.

Oct 20. Rules of differentiation.

Oct 21. Quiz 4 (Sections 3.1, 3.2). Techniques of differentiation.

Oct 22. Techniques of differentiation.

Oct 23. Quiz 5 (Sections 3.3, 3.4).

Oct 27. Quiz 6 (Sections 3.1-3.5).

Oct 28. Practice session. Overview. Practice test. Answers. Old exam: Fall 07. Answers.

Oct 29. No regular class. Answers.

Oct 30. The chain rule.

Nov 3. The chain rule. Related rates.

Nov 4. Quiz 6’ (Section 3.6). Related rates.

Nov 5. Local linear approximation.

Nov 6. Quiz 7 (Section 3.7). Implicit differentiation.

Nov 10. Derivatives of exponential, logarithmic, and inverse trigonometric functions.

Nov 11. Quiz 7’ (Sections 3.6, 3.7, 4.1-4.3). Overview. Old exam: Fall 07. Answers. Practice problems. Answers.

Nov 12. Regular class: indeterminate forms, l’Hôpital’s rule.

Nov 13. l’Hôpital’s rule.

Nov 17. Analysis of functions.

Nov 18. Quiz 8 (Section 4.4).

Nov 19. Analysis of functions.

Nov 20. Quiz 9 (Sections 5.1, 5.2).

Nov 24. Asymptotic analysis.

Nov 25. Take-home quiz, due December 2.

Dec 1. Absolute extremum.

Dec 2. Absolute extremum. Optimization.

Dec 3. Quiz 11. Optimization.

Dec 9. Office hours 12-2 P.M., Korman 247, and 2-3 P.M., Korman 255.

Dec 10. Final Exam: 3:30-5:30 P.M., Disque 108.