# Math 121 - Calculus I, Fall 2007

Instructor: Anatolii Grinshpan
Office hours:  T, Th 3-4:30, 266 Korman

Sept 24. Functions. Domain and range. One-to-one functions. Inverse functions.

Sept 25. Quiz (on the first lecture). Trigonometric functions.

Sept 26. Inverse trigonometric functions.

Sept 27. Quiz (trigonometry). Exponentials and logarithms.

Oct 1.  Exponentials and Logarithms. Limit of a function.

Oct 2. Quiz (exp and log functions). Computation of limits.

Oct 3. Computation of limits.

Oct 4. Quiz (limits). Limits at infinity.

Oct 9. Continuity. Intermediate value theorem.

Oct 10. Quiz (limits at infinity). Continuity of trig. and inverse functions.

Oct 11. Quiz (continuity).  The Squeeze Theorem. Examples.

Oct 15. Quiz (Section 2.6). Examples.

Oct 16. Quiz: review.

Oct 17. Midterm 1: 8-8:50 A. M.; section 21 -- Disque 108; section 12 -- Matheson 109.  Derivative, rate of change.

Oct 18. Morning class: examples of differentiation. Afternoon class: cancelled (convocation).

Oct 22. Test1 answers. Techniques of differentiation. Take home quiz.

Oct 23. Product and quotient rules.

Oct 24. Quiz (tangent lines). Derivatives of trigonometric functions.

Oct 25. Quiz (techniques of differentiation). Chain rule. Take home quiz answers. Practice problems.

Oct 29. Quiz (differentiation of trig. functions, chain rule). Related rates.

Oct 30. Quiz: review. Answers to practice problems.

Oct 31. Midterm 2: 8-8:50 A. M.; section 21 -- Disque 108; section 12 -- Matheson 109.  No class after the test.

Nov 1. A brief on local linear approximation. Related rates (continued). Test 2 answers.

Nov 5. Implicit differentiation.

Nov 6. Quiz (related rates). Tangents to curves.

Nov 7. Derivatives of logarithmic functions.

Nov 8. Quiz (implicit differentiation).  Derivatives of exponential functions.

Nov 12. Quiz (derivatives of exponential and log functions). Derivatives of inverse trig. functions.

Nov 13. Quiz: review. Practice problems.

Nov 14. Midterm 3: 8-8:50 A. M.; section 21 -- Disque 108; section 12 -- Matheson 109.  l’Hôpital’s rule.

Nov 15. Indeterminate forms. Curve sketching. Test 3 answers.

Nov 19. Quiz (l’Hôpital’s rule). Points of local extremum. Inflection points.

Nov 20. Curve sketching. Take-home quiz, due November 26.

Nov 21, 22. Thanksgiving break.

Nov 26. Curve sketching.

Nov 27. Points of absolute extremum.

Nov 28. Quiz (5.1-5.3). Example from class. Absolute extremum.

Nov 29.  Quiz (5.4).  Applied problems.

Dec 3.  Linearization. Optimization.

Dec 10. Office hours 11-1+.

Dec 11. Final exam, 10:30-12:30.  section 21 -- Disque 108; section 12 -- Matheson 109.