In Calculus I, the student primarily learns the meaning and interpretation of derivative and integration, the two concepts that are the foundations of subsequent calculus courses. Also included is the study of differential equations. The graphing calculator is used extensively.

## Modules

## Chapter P - Preparation for Calculus

### Lessons

## 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

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