- Review (outline)
- Warm-up Exercises (problems and answers)
- The Basics of Exponentials and Logarithms
- Section 2.1: The Tangent and Velocity Problems
- Section 2.2: The Limit of a Function
- Section 2.3: The Limit Laws
- Section 2.4: The Precise Definition of the Limit
- Graph examples for 2.4
- Section 2.5: Continuity
- Section 2.6: Limits at Infinity
- Section 2.7: Derivatives and Rates of Change
- Section 2.8: The Derivative as a Function
- Section 3.1: Derivatives of Polynomials and Exponential Functions
- Section 3.2: The Product Rule and the Quotient Rule
- Section 3.3: Derivatives of Trigonometric Functions
- Section 3.4: The Chain Rule
- Section 3.5: Implicit Differentiation
- Section 3.6: Derivatives of Logarithmic Functions
- Section 3.8: Exponential Growth and Decay
- Section 3.9: Related Rates
- Section 3.10: Linear Approximation and Differentials
- Section 4.1: Maximum and Minimum Values
- Section 4.2: The Mean Value Theorem
- Section 4.3: How Derivatives Effect the Shape of a Graph
- Section 4.4: Indeterminate Forms and L'Hospital's Rule
- Section 4.5: Curve Sketching
- Section 4.7: Optimization
- Section 4.9: Antiderivatives
- Section 5.1: Areas and Distances
- Section 5.2: The Definite Integral
- Handout on Volumes

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