Tutorials
The chapters shown on the tutorials below follow the texbook Calculus, 8th edition, by Larson, Hostetler and Edwards.
All tutorials below are in PDF format. You may need to obtain the free Acrobat Reader to be able to read and print the worksheets.
Chapter 1 - Limits
- Limits and Continuity
- Idea of a Limit
- Oscillating Limits
- Limits of Functions (Sum)
- Limits of Functions (Difference)
- Limits of Functions (Multiplication by a Constant)
- Limits of Functions (Quotient)
- Limits of Functions (Reciprocal)
- Limits of Functions (Root)
- Limits of Functions (Linear)
- Chapter One Problems
- Chapter One Review Problems
Section 2.1 - The Derivative and the Tangent Line Problem
- Limits, Continuity, and Differentiability
- The Derivative at a Point and the Tangent Line
- Section 2.1 Problems
Section 2.2 - Basic Differentiation Rules and Rates of Change
Section 2.3 - Product and Quotient Rules
Section 2.4 - The Chain Rule
Section 2.5 - Implicit Differentiation
Section 2.6 - Related Rates
Chapter 3 - Applications of Differentiation
Section 3.1 - Extrema on an Interval
- Relative Maxima and Minima
- How to Detect Relative Maxima and Minima
- Relative Extrema and Critical Points
Section 3.2 - Rolle's Theorem and the Mean Value Theorem
Section 3.3 - Increasing and Decreasing Functions
Section 3.4 - Concavity and the Second Derivative Test
Section 3.5 - Limits at Infinity
Section 3.6 - A Summary of Curve Sketching
Section 3.7 - Optimization Problems
Section 3.8 - Newton's Method
Section 3.9 - Differentials
Section 4.1 - Antiderivatives and Indefinite Integration
Section 4.3 - Riemann Sums and Definite Integrals
Section 4.4 - The Fundamental Theorem of Calculus
Section 4.5 - Integration by Substitution
Section 4.6 - Numerical Integration