Notes 

Indices laws, surds, algebraic fractions, long division of polynomials, partial fractions, and mathematical proof.

Arithmetic sequences & series, geometric sequences & series, sum to infinity, sigma notation and recurrence relations.

Solving quadratic equations, linear and quadratic simultaneous equations, graphing simultaneous equations, linear and quadratic inequalities

Linear, Quadratic, Cubic, Quartic and Reciprocal graphs, functions, modulus and transformations.

Finding midpoints of lines and the centre of a circle, the equation of a circle, intersecting lines and circle theorems.

Pascal's triangle, factorial notation, the choose function, expanding (a+b)ⁿ, Expanding (1+x)ⁿ, dealing with coefficients and general terms.

Trig graphs, the sine and cosine rules, area of a tirangle, CAST diagrams, radians, trig ratios, trigonometric identities, sec, cosec & cot.

Parametric equations, converting between parametric and Cartesian form, domain and range, parametric trigonometry and sketching parametrics.

Increasing/decreasing functions, stationary points, chain, product and quotient rules, implicit, trigonometric & parametric differentiation.

Definite & indefinite integrals, areas under graphs, reverse chain rule, integration by parts & substitution, the trapezium rule & modelling

Representing vectors, multiplying by a scalar, vector addition, magnitude & direction, position vectors, vector geometry and vectors in 3D.

Exponential functions, exponential graphs, e, e^x, logarithms, laws of logarithms, log rules, natural logarithm, ln, non-linear data.

Locating roots, changes of sign, approximation by iteration, the iteration method and the Newton-Raphson method