| Week | Monday | Tuesday | Thursday |
|---|---|---|---|
| 1 (Jan 2-6) | no class | Exponential Functions, Inverse Functions and Logarithms (1.5, 1.6) | Intervals, Inequalities, Absolute Values, Coordinate System (Appendix
A, B) Exercises: (App. A) 15, 18, 23, 29 |
| 2 (Jan 9-13) | Conic Sections, Tangents (Appendix B, 2.1) Exercises: (App. B) 27, 35, 38, 42, 53 |
Tangents, Estimation of a Limit (2.1, 2.2) Exercises: (2.1) 5 |
More Limits (2.2, 2.3) Exercises: (2.2) 3, 8, 12, 15, 20, 25 |
| 3 (Jan 16-20) | Holiday | Squeeze Theorem, Continuity (2.3, 2.4) Exercises: (2.3) 1g, 8, 15, 19, 27, 30, 34 |
Continuity (2.4) |
| 4 (Jan 23-27) | Continuity, Limits at infinity (2.4, 2.5) Exercises: (2.4) 4, 25, 28, 30, 33, 37, 40 |
Limits at infinity (2.5), Tangents as a limit (2.6) Exercises: (2.5) 7, 10, 16, 25, 26, 29, 32, 45, (2.6) 7 |
Derivatives (2.7, 2.8) Exercises: (2.7) 5, 6, 19-22 |
| 5 (Jan 30-Feb 3) | Class cancelled | Derivative as a function (2.8) Exercises: (2.8) 3, 7, 9, 11, 37, 38, 40 |
Relationship between f, f' and f''; Antiderivatives (2.9), Power Rule
(3.1) Exercises: (2.9) 1, 8, 21 |
| 6 (Feb 6-10) | Sum Rule, Derivatives of Exponential functions (3.1) | Test 1, Product and Quotient Rules (3.2) Exercises: (3.1) 19, 25, 53, 57, (3.2) 9, 15, 19, 29 |
Lab 6 |
| 7 (Feb 13-17) | Applications (3.3), Derivatives of Trigonometric Functions (3.4)
Exercises: (3.3) 7, 16 |
Trigonometric Functions, Chain Rule (3.4, 3.5) Exercises: (3.4) 5, 7, 9, 11, 26, 29, 36, (3.5) 1-6 |
Chain Rule, Implicit Differentiation (3.5, 3.6) Exercises: (3.5) 55, 61, 77a, 81 (3.6) 5-10, 15 |
| 8 (Feb 20-24) | Derivatives of Inverse Trigonometric Functions, Logarithmic Functions
(3.6, 3.7) Exercises: (3.6) 26 (3.7) 2-8 |
Logarithmic Differentiation (3.7), Linear Approximation and
Differentials (3.8) Exercises: (3.7) 15, 17, 35, 39, 42 (3.8) 5, 7 |
Differentials (3.8), Rates of Change (4.1) Exercises: (3.8) 17, 23, 31, (4.1) 19, 27, 31 |
| 9 (Feb 27-Mar 3) | Maximum and Minimum Values (4.2) Exercises: (4.2) 3, 5, 7, 25, 29 |
Shapes of Curves (4.3) Exercises: (4.3) 3, 21, 27 |
Shapes of Curves, L'Hopital's Rule (4.5) Exercises: (4.3) 27, 33 (4.5) 15-22 |
| 10 (Mar 6-10) | Test 2 | Optimization problems (4.6) Exercises: (4.5) 15-40, 45 (4.6) 21, 24, 29 |
Newton's Method, Antiderivatives (4.8-4.9) |
| 11 (Mar 13-13) | Review | no class | no class |