Starfish Maths

The Discriminant

Factor and Remainder Theorem

Integration by substitution

The Product and Quotient Rules for Differentiation

Maxima and minima - differentiation for optimisation

Proof by contradiction

A Level Maths exam question on trigonometry multiple angles

Partial fractions

Integration using partial fractions

The Discriminant

Binomial approximations

Indices

Integration

The Chain Rule for Differentiation

Differentiation

Radians, Arcs and Sectors

Trigonometry Double Angle Formulae

Connected rates of change

Parametric equations

Trigonomety R addition formula

Trigonometry CAST Diagrams and Solving Equations

The Modulus Function

Sin and cos rules

A Level Maths exam question on integration by substitution

Dividing Polynomials

A level mechanics - forces on a slope and friction (part 2)

A Level Maths exam question on factor theorem, algebraic long division and integration

A Level Maths exam question on functions - differentiation and graph transformations

Integration by parts

A Level Mechanics - Newton's second law, mass and weight

Geometric series

A Level Maths exam question on circles

A Level Mechanics - Vectors

Differential Equations

A Level Mechanics - Forces on a slope and friction

A Level Mechanics - Resolving vectors on force diagrams

Recurrence relations

Proof - counter examples, proof by exhaustion and direct proof

Arithmetic sequences

Further integration - reverse chain rule, exponentials and logs

Functions - Domains, Ranges, Composites and Inverses

Trigonometry Addition Formulae and Exact Values

Solving Quadratic Inequalities

The Binomial Expansion

Points of Intersection on Graphs

Circles

Cosec, Sec and Cot Identities

Trailer