- Functions
- Composition and Inverses (0.1, 0.2, 0.4)
- Exponentials and Logarithms (0.5)
- Trigonometric Functions and their Inverses (Appendix B, 0.4)

- Limits and Graphs
- Limits and Continuity (1.1, 1.2, 1.3)
- Graphs and Asymptotes ((0.1), 0.2, 1.5)
- Formal Definition and $\epsilon$-$\delta$ Proofs*

- Differentiation
- Calculating Derivatives by Definition (2.1, 2.2)
- Differentiation Rules (2.3, 2.4, 2.5, 2.6)
- More differentiation Rules (3.2, 3.3)
- Implicit Differentiation (3.1)
- Logarithmic Differentiation*
- Taylor Polynomial Approximations and Maclaurin Series (9.7, 9.8)

- Applications of Differentiation
- Related Rates Problems (3.4)
- Max-Min Problems (4.4, 4.5)
- Curve Sketching (4.1, 4.2, 4.3)

- Integration
- Calculating Definite Integrals by Definition (5.4, 5.5)
- The Fundamental Theorem of Calculus (5.6)
- Integration by Substitution (5.3, 5.9)
- Integration by Partsv
- Improper Integrals (7.8)
- Partial Fractions* (7.5)
- Trigonometric Substitutions* (7.3, 7.4)

- Applications of Integration
- Area Between Curves (6.1)
- Volumes of Solids of Revolution (6.2)
- Surface Area (6.5)
- Arc Length* (6.4)

See the course calendar for details
concerning exams and quizzes.

^{*} Time permitting.