| Section(s) |
| 1. | Functions |
| a. |
Intervals, Inequalities, Absolute Value |
|
Appendices A - D |
| b. |
Vocabulary and definitions | |
1.1, 1.2 |
| c. |
Composition and Inverses | |
1.4, 1.6 |
| d. |
Trigonometric Functions and their Inverses | |
Appendix E, 1.6 |
|
| 2. | Limits and Graphs |
| a. |
Limits and Continuity | |
2.1 - 2.4 |
| c. |
Squeeze Theorem | |
2.5 |
| d. |
Graphs and Asymptotes | |
2.1 |
| e. |
Formal Definition and epsilon-delta Proofs | |
2.3 |
|
| 3. | Differentiation |
| a. |
Calculating Derivatives by Definition | |
3.2, 3.1 |
| b. |
Differentiation Rules | |
3.3, 3.4, 3.5, 4.5 |
| c. |
Extensions to Implicit Differentiation | |
4.3 |
|
| 4. | Applications of Differentiation |
| a. |
Analysis of Graphs | |
1.6, 5.1, 5.2 |
| b. |
Max-Min Problems | |
6.1, 6.2 |
| c. |
Related Rates Problems | |
4.6 |
| d. |
Rectilinear Motion | |
6.3 |
|
| 5. | Analytic Geometry |
| a. |
Conic Sections | |
12.4 |
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