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Taught by a Mathematician and professional entertainer and full of colourful animations

(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

Visit Colourful Maths! Calculus for beginners (Udemy) to read more...

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