- Foundations
- Intervals, Inequalities, and Absolute Values (Appendix F and G)
- Lines and Circles (Appendix H and I)
- Functions, their Notation and Graphs (Appendix B, C, D)
- Compositions and Inverses (Appendices D, E, 1.7)
- Exponentials and Logarithms (1.8)
- Trignonometric Functions (Appendix B, 0.4)

- Limits and Graphs
- Limits and Continuity (1.1, 1.2, 1.3, 1.5)
- Graphs and Asymptotes (Appendic B and C, 1.5)
- Formal Definition and $\epsilon$-$\delta$ Proofs (1.4)

- Differentiation
- Calculating Derivatives by Definition (2.1, 2.2)
- Differentiation Rules (2.3, 2.4, 2.5, 2.6, 3.2, 3.3)
- Sum Rule
- Product Rule
- Quotient Rule
- Power Rule
- Chain Rule
- Trigonometric Rules
- Exponential and Log Rules

- Implicit Differentiation (3.1)

- Applications of Differentiation
- Related Rates Problems (3.4)
- Local Linear Approximations

See the course calendar for details
concerning exams and quizzes.