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Modules

Chapter P - Preparation for Calculus

Lessons

• Calculus 1 – Section P.1 – Graphs and Models
• Calculus 1 – Section P.2 – Linear Models and Rates of Change
• Calculus 1 – Section P.3 – Functions and Their Graphs
• Calculus 1 – Section P.4 – Fitting Models to Data

Chapter 1 - Limits and Their Properties

Lessons

• Calculus 1 – Section 1.1 – A Preview of Calculus
• Calculus 1 – Section 1.2 – Finding Limits Graphically and Numerically
• Calculus 1 – Section 1.3 – Evaluating Limits Analytically
• Calculus 1 – Section 1.4 – Continuity and One-Sided Limits
• Calculus 1 – Section 1.5 – Infinite Limits

Chapter 2 - Differentiation

Lessons

• Calculus 1 – Section 2.1 – The Derivative and the Tangent Line Problem
• Calculus 1 – Section 2.2 – Basic Differentiation Rules and Rates of Change
• Calculus 1 – Section 2.3 – The Product and Quotient Rules and Higher-Order Derivatives
• Calculus 1 – Section 2.4 – The Chain Rule
• Calculus 1 – Section 2.5 – Implicit Differentiation
• Calculus 1 – Section 2.6 – Related Rates

Chapter 3 - Applications of Differentiation

Lessons

• Calculus 1 – Section 3.1 – Extrema on an Interval
• Calculus 1 – Section 3.2 – Rolle’s Theorem and the Mean Value Theorem
• Calculus 1 – Section 3.3 – Increasing and Decreasing Functions and the First Derivative Test
• Calculus 1 – Section 3.4 – Concavity and the Second Derivative Test
• Calculus 1 – Section 3.5 – Limits at Infinity
• Calculus 1 – Section 3.6 – A Summary of Curve Sketching
• Calculus 1 – Section 3.7 – Optimization Problems
• Calculus 1 – Section 3.8 – Newton’s Method
• Calculus 1 – Section 3.9 – Differentials

Chapter 4 - Integration

Lessons

• Calculus 1 – Section 4.1 – Antiderivatives and Indefinite Integration
• Calculus 1 – Section 4.2 – Area
• Calculus 1 – Section 4.3 – Reimann Sums and Definite Integrals
• Calculus 1 – Section 4.4 – The Fundamental Theorem of Calculus
• Calculus 1 – Section 4.5 – Integration by Substitution
• Calculus 1 – Section 4.6 – Numerical Integration

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions

Lessons

• Calculus 1 – Section 5.1 – The Natural Logarithmic Function: Differentiation
• Calculus 1 – Section 5.2 – The Natural Logarithmic Function: Integration
• Calculus 1 – Section 5.3 – Inverse Functions
• Calculus 1 – Section 5.4 – Exponential Functions: Differentiation and Integration
• Calculus 1 – Section 5.5 – Bases Other Than e and Applications
• Calculus 1 – Section 5.6 – Inverse Trigonometric Functions: Differentiation
• Calculus 1 – Section 5.7 – Inverse Trigonometric Functions: Integration
• Calculus 1 – Section 5.8 – Hyperbolic Functions

Chapter 6 - Differential Equations

Lessons

• Calculus 1 – Section 6.1 – Slope Fields and Euler’s Method
• Calculus 1 – Section 6.2 – Differential Equations: Growth and Decay
• Calculus 1 – Section 6.3 – Separation of Variables and the Logistic Equation
• Calculus 1 – Section 6.4 – First-Order Linear Differential Equations

Other Lessons

Lessons

• Calculus 1 – Section 7.1 – The Area Between Two Curves
• Calculus 1 – Section 7.2 – Volume: The Disk Method
• Calculus 1 – Section 7.3 – Volume: The Shell Method
• Calculus 1 – Section 8.7 – Indeterminate Forms and L’Hopital’s Rule