Math 121 - Calculus I, Fall 2009


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

Syllabus   Calculus root page   Greg Naber’s notes   Academic calendar   Math resource center   Wiley resource

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.

              Quiz 10 (take-home, due Monday).

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.

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