# Math 121 - Calculus I, Fall 2009

Instructor: Anatolii Grinshpan
Office hours:  Mon 5-7, Tue 5-6, Korman 247, or by appointment

Sept 21. Introduction to the course. Functions.

Sept 22. Domain and range. Examples.

Sept 23. Composition of functions. Transformations of graphs.

Sept 24. Quiz 1 (Sections 0.1, 0.2). Transformations of graphs.

Sept 28. The inverse of a function.

Sept 29. Inverse trigonometric functions.

Sept 30. Exponential and logarithmic functions.

Oct 1. Quiz 2 (Sections 0.4, 0.5).  Exponents and logarithms.

Oct 5. Limits: introduction and examples.

Oct 6. Quiz 3 (Limits). Evaluation of limits.

Oct 7. Review. Practice tests: F06, F07, F08.

Exam 1: 6 P.M., Disque 103.

Oct 8. Limits at infinity.

Oct 12. No class (Columbus Day).

Oct 13. Limits at infinity. Continuity at a point.

Oct 14. Continuity of a function. Intermediate Value Theorem.

Oct 15. Quiz 4 (Sections 1.3, 1.5). Limits of composition.

Oct 19. The Squeezing Theorem. Trigonometric limits.

Oct 20. Quiz 5 (Sections 1.5, 1.6). Rate of change: average vs instantaneous.

Oct 21. Derivative. Tangent line.

Oct 22. Review. Practice tests: F07, F08, F09.

Oct 23. Exam 2: 8 A.M., Disque 103.

Oct 26. Rules of differentiation.

Oct 27. Examples.

Oct 28. Quiz 6 (Sections 2.3, 2.4, 2.5).

Oct 29. Chain rule.

Nov 2. Implicit derivative.

Nov 3. Derivatives of logarithmic functions.

Nov 4. Quiz 7 (Sections 2.3-3.2).

Nov 5. Review. Practice tests: F06, F07, F08, F09.

Nov 6. Exam 3: 8 A.M., Disque 103.

Nov 9. Derivatives of exponential functions.

Nov 10. Derivative of the inverse function.

Nov 11. Related rates.

Nov 12. Related rates. Quiz 8 (take-home, due Monday).

Nov 16. Linear approximation.

Nov 17. Linear approximation.

Nov 18. l’Hôpital’s rule.

Nov 19. Quiz 9 (Section 3.5). l’Hôpital’s rule.

Nov 23. Analysis of functions.

Nov 24. Analysis of functions: critical points, local extremum, inflections.

Nov 30. Quiz 10 discussion. Analysis of functions: asymptotes.

Dec 1.  Analysis of functions: vertical tangents, cusps, absolute extremum.

Dec 2.  Quiz 11 (Section 4.4). Optimization.

Dec 3. Review. Practice problems. Outcomes list.

Old finals: F06, F07, F08.

Dec 4. Make-up test: 8-8:50 A.M., Disque 103. Sample.

Dec 7. Office hours: 4-6 (Korman 253).

Dec 8. Office hours: 12-2 (Korman 247).

Dec 9. Final Exam: 8-10 A.M., Disque 103. Answers.