Section(s) | ||||

1. | Functions | |||

a. | Composition and Inverses | 2.1, 2.2, 2.3, 7.4 | ||

b. | Exponentials and Logarithms | 7.1, 7.3 | ||

c. | Trigonometric Functions and their Inverses | Appendix B, 8.1 | ||

2. | Limits and Graphs | |||

a. | Limits and Continuity | 2.4, 2.5, 2.7 | ||

b. | Graphs and Asymptotes | 4.4 | ||

c. | Formal Definition and epsilon-delta Proofs | 2.6 | ||

3. | Differentiation | |||

a. | Calculating Derivatives by Definition | 3.2 | ||

b. | Differentiation Rules | 3.3, 3.4, 3.5, 7.2, 8.2 | ||

c. | Extensions to Implicit Differentiation | 3.6 | ||

4. | Applications of Differentiation | |||

a. | Curve Sketching | 4.2, 4.3, 4.4, 4.5 | ||

b. | Max-Min Problems | 4.3, 4.6, 4.7 | ||

c. | Related Rates Problems | 4.1 | ||

5. | Integration | |||

a. | Calculating Definite Integrals by Definition | 5.4, 5.5, 5.6 | ||

b. | The Fundamental Theorem of Calculus | 5.7, 5.9 | ||

c. | Integration by Substitution | 5.3, 5.8, 7.2, 8.2 | ||

d. | Integration by Parts | 9.2 | ||

e. | Improper Integrals | 10.1 | ||

6. | Applications of Integration | |||

a. | Area Under a Curve | 6.1 | ||

b. | Volumes of Solids of Revolution | 6.2, 6.3 | ||

c. | Arc Length | 6.4 | ||

d. | Work | 6.7 |

See the course calendar for details concerning exams and quizzes.

Comments to: dpvc@union.edu

Created: Sep 1 1997 --- Last modified: Sep 5, 1997 10:29:04 AM