AS Pure Maths

This course has 65 videos tackling exam-style questions that cover all areas of AS Level Pure Mathematics including Algebra & Functions, Coordinate Geometry, Differentiation, Exponentials & Logarithms, Integration, Sequences & Series, Proof, Trigonometry and Vectors.

ALGEBRA & FUNCTIONS: completing the square, cubics, curve sketching, discriminant, indices, inequalities, polynomials, quadratics, simultaneous equations, surds, transformations

COORDINATE GEOMETRY: straight lines, equation of a circle

DIFFERENTIATION: differentiation from first principles and differentiating polynomials, increasing & decreasing functions, stationary points, tangents & normals, differentiating e to the kx

EXPONENTIALS & LOGS: exponential & logarithmic graphs, logs, their rules and solving log equations, growth & decay, differentiating e to the kx

INTEGRATION: fundamental theorem of calculus and integrating powers of x, definite integrals

PROOF: proof by deduction, proof by exhaustion, disproof by counterexample

SEQUENCES & SERIES: binomial expansion

TRIGONOMETRY: non-right-angled triangles, trigonometric equations, trigonometric graphs, trigonometric identities

VECTORS: two-dimensional vectors, vector arithmetic, vectors in context

The producer of these videos has extensive experience in tutoring all levels of mathematics and has made a career from her ability to explain mathematics well. The videos are detailed and the explanations help with the logical process and problem solving required to tackle the questions. In some sections, there are multiple videos that increase in difficulty to cover a wide range of possible questions that could be set in an exam paper.