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## (1) Before calculus

- Before calculus
- Definition of Calculus
- The first principle
- How to Graph Calculus
- Understanding the unique derivative of each equation
- Graphing the derivative for parabolas, cubics and quartics
- Symbols and terminology
- Chain Rule
- Product and Quotient Rule
- Types of stationary points
- How to find stationary points
- Sketch any graph using stationary points
- Rates of Change
- Definition of Antidiff
- Calculating the antidiff
- Tougher antidiffs
- Finding approximate area
- Understanding exact area
- Finding exact area
- Kinematics: displacement, velocity and acceleration

## (2) What is Calculus?

- Before calculus
- Definition of Calculus
- The first principle
- How to Graph Calculus
- Understanding the unique derivative of each equation
- Graphing the derivative for parabolas, cubics and quartics
- Symbols and terminology
- Chain Rule
- Product and Quotient Rule
- Types of stationary points
- How to find stationary points
- Sketch any graph using stationary points
- Rates of Change
- Definition of Antidiff
- Calculating the antidiff
- Tougher antidiffs
- Finding approximate area
- Understanding exact area
- Finding exact area
- Kinematics: displacement, velocity and acceleration

## (3) Understanding Calculus with Graphs

- Before calculus
- Definition of Calculus
- The first principle
- How to Graph Calculus
- Understanding the unique derivative of each equation
- Graphing the derivative for parabolas, cubics and quartics
- Symbols and terminology
- Chain Rule
- Product and Quotient Rule
- Types of stationary points
- How to find stationary points
- Sketch any graph using stationary points
- Rates of Change
- Definition of Antidiff
- Calculating the antidiff
- Tougher antidiffs
- Finding approximate area
- Understanding exact area
- Finding exact area
- Kinematics: displacement, velocity and acceleration

## (4) Calculus Symbols

- Before calculus
- Definition of Calculus
- The first principle
- How to Graph Calculus
- Understanding the unique derivative of each equation
- Graphing the derivative for parabolas, cubics and quartics
- Symbols and terminology
- Chain Rule
- Product and Quotient Rule
- Types of stationary points
- How to find stationary points
- Sketch any graph using stationary points
- Rates of Change
- Definition of Antidiff
- Calculating the antidiff
- Tougher antidiffs
- Finding approximate area
- Understanding exact area
- Finding exact area
- Kinematics: displacement, velocity and acceleration

## (5) Chain, Product and Quotient Rules

- Before calculus
- Definition of Calculus
- The first principle
- How to Graph Calculus
- Understanding the unique derivative of each equation
- Graphing the derivative for parabolas, cubics and quartics
- Symbols and terminology
- Chain Rule
- Product and Quotient Rule
- Types of stationary points
- How to find stationary points
- Sketch any graph using stationary points
- Rates of Change
- Definition of Antidiff
- Calculating the antidiff
- Tougher antidiffs
- Finding approximate area
- Understanding exact area
- Finding exact area
- Kinematics: displacement, velocity and acceleration

## (6) Stationary Points

- Before calculus
- Definition of Calculus
- The first principle
- How to Graph Calculus
- Understanding the unique derivative of each equation
- Graphing the derivative for parabolas, cubics and quartics
- Symbols and terminology
- Chain Rule
- Product and Quotient Rule
- Types of stationary points
- How to find stationary points
- Sketch any graph using stationary points
- Rates of Change
- Definition of Antidiff
- Calculating the antidiff
- Tougher antidiffs
- Finding approximate area
- Understanding exact area
- Finding exact area
- Kinematics: displacement, velocity and acceleration

## (7) Rates of Change

- Before calculus
- Definition of Calculus
- The first principle
- How to Graph Calculus
- Understanding the unique derivative of each equation
- Graphing the derivative for parabolas, cubics and quartics
- Symbols and terminology
- Chain Rule
- Product and Quotient Rule
- Types of stationary points
- How to find stationary points
- Sketch any graph using stationary points
- Rates of Change
- Definition of Antidiff
- Calculating the antidiff
- Tougher antidiffs
- Finding approximate area
- Understanding exact area
- Finding exact area
- Kinematics: displacement, velocity and acceleration

## (8) Anti-differentiation

- Before calculus
- Definition of Calculus
- The first principle
- How to Graph Calculus
- Understanding the unique derivative of each equation
- Graphing the derivative for parabolas, cubics and quartics
- Symbols and terminology
- Chain Rule
- Product and Quotient Rule
- Types of stationary points
- How to find stationary points
- Sketch any graph using stationary points
- Rates of Change
- Definition of Antidiff
- Calculating the antidiff
- Tougher antidiffs
- Finding approximate area
- Understanding exact area
- Finding exact area
- Kinematics: displacement, velocity and acceleration

## (9) Integration

- Before calculus
- Definition of Calculus
- The first principle
- How to Graph Calculus
- Understanding the unique derivative of each equation
- Graphing the derivative for parabolas, cubics and quartics
- Symbols and terminology
- Chain Rule
- Product and Quotient Rule
- Types of stationary points
- How to find stationary points
- Sketch any graph using stationary points
- Rates of Change
- Definition of Antidiff
- Calculating the antidiff
- Tougher antidiffs
- Finding approximate area
- Understanding exact area
- Finding exact area
- Kinematics: displacement, velocity and acceleration

## (10) Kinematics

- Before calculus
- Definition of Calculus
- The first principle
- How to Graph Calculus
- Understanding the unique derivative of each equation
- Graphing the derivative for parabolas, cubics and quartics
- Symbols and terminology
- Chain Rule
- Product and Quotient Rule
- Types of stationary points
- How to find stationary points
- Sketch any graph using stationary points
- Rates of Change
- Definition of Antidiff
- Calculating the antidiff
- Tougher antidiffs
- Finding approximate area
- Understanding exact area
- Finding exact area
- Kinematics: displacement, velocity and acceleration

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