| Section(s) | ||||
| 1. | Functions | |||
| a. | Composition and Inverses | 1.4, 4.1, 1.6 | ||
| b. | Exponentials and Logarithms | 4.2 | ||
| c. | Trigonometric Functions and their Inverses | Appendix E, 1.6 | ||
| 2. | Limits and Graphs | |||
| a. | Limits and Continuity | 2.3, 2.4, 2.2 | ||
| b. | Graphs and Asymptotes | 2.1 | ||
| c. | 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, 4.4, 4.5 | ||
| c. | Extensions to Implicit Differentiation | 4.3 | ||
| 4. | Applications of Differentiation | |||
| a. | Curve Sketching | 1.6, 5.1, 5.2 | ||
| b. | Max-Min Problems | 6.1, 6.2 | ||
| c. | Related Rates Problems | 4.6 | ||
| 5. | Integration | |||
| a. | Calculating Definite Integrals by Definition | 7.1, 7.4, 7.5 | ||
| b. | The Fundamental Theorem of Calculus | 7.6, 7.1 | ||
| c. | Integration by Substitution | 7.3, 7.2, 7.8 | ||
| d. | Integration by Parts | 9.2 | ||
| e. | Improper Integrals | 9.8 | ||
| 6. | Applications of Integration | |||
| a. | Area Under a Curve | 7.1, 8.1 | ||
| b. | Volumes of Solids of Revolution | 8.2 | ||
| c. | Arc Length | 8.4 | ||
| d. | Work | 8.6 | ||
See the course calendar for details concerning exams and quizzes.