- Foundations
- Intervals, Inequalities, and Absolute Values
- Lines and Circles
- Functions, their Notation and Graphs
- Trignonometric Functions

- Limits and Graphs
- Limits and Continuity
- Graphs and Asymptotes
- Formal Definition and $\epsilon$-$\delta$ Proofs

- Differentiation
- Calculating Derivatives by Definition
- Differentiation Rules
- Sum Rule
- Product Rule
- Quotient Rule
- Power Rule
- Chain Rule
- Trigonometric Rules

- Implicit Differentiation

- Applications of Differentiation
- Taylor Polynomials and Approximations
- Curve Sketching
- Critical Points
- Optimization Problems
- Related Rates Problems
- Rectilinear Motion
- Newton's Method

See the course calendar for details
concerning exams and quizzes.