Chapter 0 (Welcome to Calculus)
- All of Chapter 0: download
- Section 0.1 (A Preview of Calculus): download
- Section 0.2 (Lines in the Plane): download
- Section 0.3 (Functions and Their Graphs): download
- Section 0.4 (Combinations of Functions): download
- Section 0.5 (Mathematical Language): download
Chapter 1 (Limits and Continuity)
- All of Chapter 1: download
- Section 1.0 (Tangent Lines, Velocities, Growth) download
- Section 1.1 (The Limit of a Function): download
- Section 1.2 (Properties of Limits): download
- Section 1.3 (Continuous Functions): download
- Section 1.4 (Definition of Limit): download
Chapter 2 (The Derivative)
- All of Chapter 2: download
- Section 2.0 (Introduction to Derivatives) download
- Section 2.1 (The Definition of Derivative): download
- Section 2.2 (Derivatives: Properties and Formulas): download
- Section 2.3 (More Differentiation Patterns): download
- Section 2.4 (The Chain Rule): download
- Section 2.5 (Applications of the Chain Rule): download
- Section 2.6 (Related Rates): download
- Section 2.7 (Newton’s Method): download
- Section 2.8 (Linear Approximation and Differentials): download
- Section 2.9 (Implicit and Logarithmic Differentiation): download
Chapter 3 (Derivatives and Graphs)
- All of Chapter 3: download
- Section 3.1 (Finding Maximums and Minimums): download
- Section 3.2 (Mean Value Theorem): download
- Section 3.3 (The First Derivative and the Shape of f): download
- Section 3.4 (The Second Derivative and the Shape of f): download
- Section 3.5 (Applied Maximum and Minimum Problems): download
- Section 3.6 (Asymptotic Behavior of Functions): download
- Section 3.7 (L’Hôpital’s Rule): download
Chapter 4 (The Integral)
- All of Chapter 4: download (PDF, 4.5MB, updated 4/1/2016)
- Section 4.0 (Area): download (PDF, 1.1MB, updated 4/1/2016)
- Section 4.1 (Sigma Notation and Riemann Sums): download (PDF, 0.6MB, updated 4/1/2016)
- Section 4.2 (The Definite Integral): download (PDF, 0.6MB, updated 4/1/2016)
- Section 4.3 (Properties of the Definite Integral): download (PDF, 0.7MB, updated 4/1/2016)
- Section 4.4 (Areas, Integrals and Antiderivatives): download (PDF, 0.5MB, updated 4/1/2016)
- Section 4.5 (The Fundamental Theorem of Calculus): download (PDF, 0.5MB, updated 4/1/2016)
- Section 4.6 (Finding Antiderivatives): download (PDF, 0.2MB, updated 4/1/2016)
- Section 4.7 (First Applications of Definite Integrals): download (PDF, 0.8MB, updated 4/1/2016)
- Section 4.8 (Using Tables [and Technology] to Find Antiderivatives): download (PDF, 0.2MB, updated 4/1/2016)
- Section 4.9 (Approximating Definite Integrals): download (PDF, 0.8MB, updated 4/1/2016)
Chapter 5 (Applications of Definite Integrals)
- All of Chapter 5: download (PDF, 9.4MB, updated 4/1/2016)
- Section 5.1 (Volumes by Slicing): download (PDF, 2.2MB, updated 4/1/2016)
- Section 5.2 (Volumes: Disks and Washers): download (PDF, 1.1MB, updated 4/1/2016)
- Section 5.3 (Arclengths and Surface Areas): download (PDF, 1.0MB, updated 4/1/2016)
- Section 5.4 (More Work): download (PDF, 1.7MB, updated 4/1/2016)
- Section 5.5 (Volumes: Tubes): download (PDF, 0.8MB, updated 4/1/2016)
- Section 5.6 Moments and Centers of Mass): download (PDF, 1.5MB, updated 4/1/2016)
- Section 5.7 (Improper Integrals): download (PDF, 0.8MB, updated 4/1/2016)
- Section 5.8 (Additional Applications): download (PDF, 1.6MB, updated 4/1/2016)
Chapter 6 (Differential Equations)
- Section 6.1 (Introduction to Differential Equations): download (PDF, 0.3MB, updated 2/11/2015)
- Section 6.2 (The Differential Equation y = f'(x)): download (PDF, 2.4MB, updated 2/9/2015)
- Section 6.3 (Separable Equations): download (PDF, 0.7MB, updated 2/11/2015)
- Section 6.4 (Exponential Growth and Decay): download (PDF, 0.7MB, updated 4/23/2015)
- Section 6.5 (Heating, Cooling and Mixing): coming soon
Chapter 7 (Transcendental Functions)
- Section 7.1 (One-to-One Functions): download (PDF, 0.5MB, updated 2/9/2015)
- Section 7.2 (Inverse Functions): download (PDF, 0.5MB, updated 4/23/2015)
- Section 7.3 (Inverse Trigonometric Functions): download (PDF, 0.5MB, updated 4/23/2015)
- Section 7.4 (Derivatives of Inverse Trigonometric Functions): coming soon
- Section 7.5 (Integrals Involving Inverse Trigonometric Functions): download (PDF, 0.2MB, updated 2/18/2015)
- Section 7.6 (Calculus Done Right): coming soon
- Section 7.7 (Hyperbolic Functions): coming soon
Chapter 8 (Integration Techniques)
- Section 8.1 (Finding Antiderivatives: A Review): download (PDF, 0.2MB, updated 2/24/2015)
- Section 8.2 (Integration by Parts): download (PDF, 0.3MB, updated 2/24/2015)
- Section 8.3 (Partial Fraction Decomposition): download (PDF, 0.2MB, updated 2/28/2015)
- Section 8.4 (Trigonometric Substitution): download (PDF, 0.3MB, updated 3/1/2015)
- Section 8.5 (Integrals of Trigonometric Functions): download (PDF, 0.2MB, updated 3/1/2015)
- Section 8.6 (Integration Tactics): coming soon
- Section 8.7 (Approximating Antiderivatives): download (PDF, 0.2MB, updated 4/7/2015)