# Math 121 - Calculus I, Fall 2010

Instructor: Anatolii Grinshpan
Office hours:  MTW 5-6, Korman 247, or by appointment, Korman 253.

Sept 20. Introduction to the course. Functions: domain and range.

Sept 21. Examples.  Operations on functions.

Sept 22. Composition. Transformations of graphs.

Sept 23. Quiz 1 (0.1, 0.2). Transformations of graphs (alternative look).

Reading assignment: Appendix B (+ problems on page A23).

Sept 27. The inverse of a function. Arcsine, arccosine, and arctangent.

Sept 28. Examples. Exponential functions.

Sept 29. Logarithmic functions.

Sept 30. Quiz 2 (0.4, 0.5). Limits.

Oct 4.    Evaluation of limits.

Oct 6.    Exam 1: 8 A.M., CAT 61. (answers)

Regular class: limits at infinity.

Oct 7.   Limits at infinity. Continuity at a point.

Quiz 3: take-home, due October 12. (answers)

Oct 11.  No class (Columbus day).

Oct 12.  Continuity of a function. Intermediate Value Theorem.

Oct 13.  Limit of composition. Squeezing Theorem. Trigonometric limits.

Oct 14.  Quiz 4 (1.5, 1.6). (answers)

Oct 18.  The derivative. Tangent line.

Oct 20.  Exam 2: 8 A.M., CAT 61. (answers)

Regular class: rules of differentiation.

Oct 21. Rules of differentiation. Examples.

Quiz 5: take-home, due October 25. (answers)

Oct 25. Derivatives of trigonometric functions.

Oct 26. Chain rule.

Oct 27. Chain rule. Implicit differentiation.

Oct 28. Quiz 6 (2.5, 2.6) (answers). Derivative of the logarithm.

Nov 1. Logarithmic differentiation.

Nov 2. Review guide. Practice test: F09 (answers).

Nov 3. Exam 3: 8 A.M., CAT 61. (answers)

Regular class: derivatives of exponential functions.

Nov 4. Derivatives of  inverse functions.

Quiz 7: take-home, due November 8. (answers)

Nov 8. Local linear approximation. Differentials.

Nov 9. Related rates.

Nov 10. Related rates.

Nov 11. Quiz 8 (3.4, 3.5). (answers)

Nov 15. Analysis of functions: critical points, local extrema.

Nov 16. Graphing polynomials.

Nov 17. Graphing rational functions.

Nov 18. Quiz 9 (3.6, 4.1, 4.2). (answers)

Nov 22. Types of asymptotes. Vertical tangents and cusps.

Nov 23. Examples: analysis of functions, absolute max and min.

Nov 29. Absolute extremum. Optimization.

Nov 30. Quiz 10: take-home, due December 1. (answers)

Review guide. Old Finals: F06, F08, F09 (answers).

Dec 1. Review.

Dec 2. Review.

Dec 6. Final Exam: 8-10 AM, Nesbitt 111. (answers)