Year 2 Pure

To be added over the coming year.

Algebra and Functions

• Domain / Range / Inverse / Composite Functions
• Graph Transformations
• The Modulus Function

Sequences and Series

• Arithmatic / Geometric Sequences
• Binomial Expansions

Trigonomtry 1

• Reciprocal Trogonometric Functions

Differentiation

• Chain Rule, Product Rule, Quotient Rule
• Implicit Differentiation

Differentiation 2 (Applications)

• Points of Inflection
• Connected Rates of Change

Trigonometry 2

• Addition and Subtractionn Rules
• Double Angle Formulae
• Harmonic Identities

Parametric Equations

• Parametric Equations

Integration

• Integration by Inspection
• Integartion by Parts
• Integration by Substitution

Differential Equations

• Differential Equations

Year 2 Mechanics

To be added over the coming year.

Kinematics

• Projectiles
• Motion in 2D with vectors.



Forces

• Forces in 2D
• Moments



Year 2 Statistics

To be added over the coming year.


Probability and Statistical Distsributions

• Conditional Probability
• The Normal distribution



Hypothesis Testing

• Hypothesis Testing with Normal Distributions
• Hypothesis Testing with Correlation