About This Resource
A Level Core revision notes cover pure mathematics topics for the full A Level. Download the PDF to print or use on screen for revision and consolidation.
Topics Covered
Algebra and Functions, Indices, Surds, Quadratic Equations, Completing the Square, Quadratic Formula, Discriminant, Simultaneous Equations, Inequalities, Polynomials, Factor Theorem, Graphs of Functions, Modulus Graphs, Functions, Domain, Range, Inverse Functions, Composite Functions, Transforming Graphs, Partial Fractions, Coordinate Geometry, Circles, Parametric Equations, Sequences and Series, Binomial Expansion, Sigma Notation, Arithmetic Sequences and Series, Geometric Sequences and Series, Trigonometry, Radians, Small Angle Approximations, Inverse Functions, Reciprocal Trigonometry Functions and Identities, Double Angle and Addition Formulae, Logarithms and Exponentials, Modelling Curves, Differentiation, Chain Rule, Product Rule, Quotient Rule, Parametric Equations, Implicit Differentiation, Stationary Points, Tangents and Normals, Integration, Integration by Substitution, Integration by Parts, Parametric Integration, Area under a Curve, Area between 2 curves, Differential Equations, Numerical Methods, Newton-Raphson Iteration, Vectors, Proof, Proof by Deduction, Proof by Exhaustion
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