Starfish Maths

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

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

A Level Maths exam question on circles

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

A Level Mechanics - Forces on a slope and friction

A Level Maths exam question on trigonometry multiple angles

A Level Maths exam question on integration by substitution

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

A Level Mechanics - Resolving vectors on force diagrams

A Level Mechanics - Vectors

Binomial approximations

Proof by contradiction

Proof - counter examples, proof by exhaustion and direct proof

Sin and cos rules

Geometric series

Arithmetic sequences

Recurrence relations

Parametric equations

Maxima and minima - differentiation for optimisation

Connected rates of change

Differential Equations

Integration using partial fractions

Partial fractions

Integration by parts

Trailer

Integration by substitution

Further integration - reverse chain rule, exponentials and logs

Implicit differentiation

The Product and Quotient Rules for Differentiation

The Chain Rule for Differentiation

The Modulus Function

Functions - Domains, Ranges, Composites and Inverses

Trigonomety R addition formula

Trigonometry Double Angle Formulae

Trigonometry Addition Formulae and Exact Values

Cosec, Sec and Cot Identities

Radians, Arcs and Sectors

Trigonometric Identities

Trigonometry CAST Diagrams and Solving Equations

Integration

Differentiation

Logs and Exponentials

Circles

The Binomial Expansion

Indices

Points of Intersection on Graphs

Factor and Remainder Theorem

Dividing Polynomials

Solving Quadratic Inequalities

The Discriminant