Section(s) | ||||
1. | Functions | |||
a. | Intervals, Inequalities, Absolute Value | Appendix A, B | ||
b. | Composition and Inverses | 1.4, 1.6 | ||
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, 4.5 | ||
c. | Extensions to Implicit Differentiation | 4.3 | ||
d. | L'Hôpital's rule | 4.7 | ||
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 |
See the course calendar for details concerning exams and quizzes.