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A-Level Pure Mathematics

51 notes, syllabuses and topic guides covering the full A-Level Pure Mathematics course. Search by topic below or browse by category.

Showing all 51 resources

Syllabus & Core Textbooks

Official syllabus documents and full textbook references for A-Level Pure Mathematics.

Pure Mathematics Syllabus 1.8 MB Open → A-Level Pure Maths Syllabus 1.5 MB Open → Pure Mathematics Textbook (Old Edition) 29.5 MB Open → Pure Mathematics Textbook – Part 1 21.3 MB Open → Pure Mathematics Textbook – Part 2 19.1 MB Open → Pure Mathematics Textbook – Part 3 17.9 MB Open → Corrected Mathematical Notes 852 KB Open → Equations and Definitions Reference 1.1 MB Open →

Algebra

Indices, polynomials, inequalities, partial fractions and proof by induction.

Indices, Logarithms and Surds 1.7 MB Open → Polynomials 1.5 MB Open → Inequalities 1006 KB Open → Partial Fractions 1.1 MB Open → Mathematical Induction 1.3 MB Open → Mathematical Induction & Matrices 1.3 MB Open →

Functions & Graphs

Function notation, graph sketching and transformations.

Functions 529 KB Open → Functions (Trockers Notes) 2.0 MB Open → Graphs & Transformations 1.1 MB Open → Graphs and Coordinate Geometry 712 KB Open →

Coordinate Geometry & Circles

Lines, circles and linear law in the coordinate plane.

Coordinate Geometry 1.4 MB Open → Circles 1.5 MB Open → Linear Law 1.2 MB Open →

Trigonometry

Plane trigonometry and trigonometric functions.

Plane Trigonometry 1.7 MB Open → Plane Trigonometry (Alternative Notes) 1.8 MB Open → Trigonometric Functions 2.0 MB Open →

Calculus

Differentiation, integration, approximations and growth & decay models.

Differentiation 1.8 MB Open → Integration 1.4 MB Open → Small Changes & Approximations 887 KB Open → Exponential Growth & Decay 1.1 MB Open →

Differential Equations & Numerical Methods

Solving differential equations and numerical techniques.

Differential Equations 1.9 MB Open → Ordinary Differential Equations 1.9 MB Open → Numerical Methods 1.5 MB Open →

Sequences, Series & Expansions

Sequences, series, series expansions and the method of differences.

Sequences and Series 1.5 MB Open → Series and Sequences (Summary Notes) 2.3 MB Open → Sequences, Series & Series Expansion 552 KB Open → Series Expansion 1.2 MB Open → Taylor & Maclaurin's Series 1.4 MB Open → Method of Differences 1.1 MB Open → Method of Differences (Extended Notes) 698 KB Open →

Vectors

Vector geometry in two and three dimensions.

Vectors I 1.7 MB Open → Vectors II 2.0 MB Open → Vectors II (Alternative Notes) 1.8 MB Open → Vectors II (Algebra Approach) 2.8 MB Open →

Complex Numbers

Argand diagrams, modulus-argument form and complex number operations.

Complex Numbers 2.1 MB Open → Complex Numbers II 2.3 MB Open → Complex Numbers (Quick Reference) 151 KB Open →

Matrices & Transformations

Matrix algebra and geometric transformations.

Matrices 1.0 MB Open → Matrices (Algebra Approach) 2.1 MB Open → Transformations (Matrices) 1.7 MB Open →

Groups & Binary Operations

Introductory abstract algebra: groups and binary operations.

Groups 1.2 MB Open → Groups & Binary Operations 602 KB Open → Groups (Algebra Approach) 1.8 MB Open →