Functions & graphs

• Polynomials Introduction
• General Cubic Function
• Sine and Cosine
• Tan
• Exponential Functions
• Logarithmic Functions
• Hybrid and Absolute Value Functions
• Addition of Functions
• Fraction Power Functions
• Integer Power Functions

Algebra

• Algebra Polynomials
• Inverse Functions
• Logarithmic and Exponential Laws
• Compound and Double Angle Formula
• Trigonometric Functions
• Function Notation
• Matrices
• Simultaneous Equations

Calculus

• Differentiation of Power Functions and Exponentials
• Differentiation
• Logarithmic Differentiation
• Trigonometric Differentiation
• Chain Rule
• Product Rule
• Quotient Rule
• Finding the Gradient of a Curve with Differentiation
• Average Rate of Change vs Instantaneous Rate of Change
• Integration
• Integration of Power and Logarithmic Functions
• Integration of Exponential and Trigonometric Functions
• Definite Integrals
• Integration Recap

Probability

• Prior Knowledge
• Probability
• Random Variables - Measure of Centre
• Random Variables - Measure of Variability
• Normal Distribution
• The Binomial Distribution
• Two State Markov Chains
• Steady State Markov Chains
• Continuous Random Variables
• Continuous Random Variables - Measures of Centre
• Continuous Random Variables - Measures of Spread
• Review of Probability