Modules
Chapter 1 - Limits and Their Properties
Lessons
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
