# A LEVEL Key stage 5

Specialising in the following A LEVEL subjects:

### Pure maths

**Most common topics covered**
Algebraic methods and expression
Quadratics
Equations and inequalities
Graphs and transformations
The binomial expansion
Coordinate geometry
Series and sequences
Trigonometric ratios and equations
Radians
Trigonometric functions
Parametric equations
Vectors
Exponentials and logarithms
Differentiation
Integration
Numerical methods

### Further pure maths

**Most common topics covered**
Vectors
Number theory
Groups
Complex numbers
Conic sections
Inequalities
The t-formulae
Calculus
Numerical methods
Recurrence relations
Reducible differential equations
Matrix algebra
Integration techniques

### Statistics

**Most common topics covered**
Interpretation and collecting data
Representations of data
Regression and correlation
Statistical sampling
Conditional probability
Statistical distributions
Statistical hypothesis testing
Measures of location and spread

### Further statistics

**Most common topics covered**
Discrete random variables
Poisson distributions
Geometric and negative binomial distributions
Correlation
Continuous distributions
Combinations of random variables
Hypothesis testing
Further hypothesis tests
Central limit theorem
Chi-squared tests
Probability generating functions
Quality of tests
Linear regression

### Mechanics

**Most common topics covered**
Vectors
Quantities and unit in mechanics
Kinematics
Motion, forces and friction
Applications of forces
Newtonâ€™s laws and moments
Modelling in mechanics
Constant acceleration
Variable acceleration
Moments
Projectiles
Further kinematics

### Further mechanics

**Most common topics covered**
Momentum and impulse
Work, energy and power
Elastic strings and springs
Elastic collisions in on/two dimensions
Circular motion
Centres of mass of plane figures
Kinematics
Dynamics

### Physics

**Most common topics covered**
Particles and radiation
Waves and optics
Mechanics and materials
Electricity Further mechanics and thermal physics
Fields
Nuclear physics