AS Pure Maths
What you'll learn
- Watch videos tackling all areas of AS Pure Maths
- Learn how to tackle basic and advanced AS Pure Maths exam style questions
- Gain a better understanding of the style of questions that could be asked as AS Level Pure Maths
- Get a better understanding of the problem solving skills required to be successful in A-Level Maths
- GCSE Maths at the Higher level
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.
Who this course is for:
- Students studying the first year of A-Level Maths
Following her PhD in Maths from the University of Surrey, Dr Douglas started a business in tutoring maths locally and became a Teaching Fellow at the same University. She now works for the University of Reading as a Postdoc and continues to grow StudyWell, an online resource for A-Level Maths students.