Further Maths

Notes and questions on A-Level Further maths

Core Pure 1 Mechanics 1

Core Pure 2 Mechanics 2

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Core Pure 1

Digestible notes on A-Level Further maths

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Complex Numbers

Imaginary and Complex Numbers

Multiplying Complex Numbers

Complex Conjugation

Roots of Quadratic Equations

Solving Cubic and Quartic Equations

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Roots of Polynomials

Roots of a Quadratic Equation

Roots of a Cubic Equation

Roots of a Quartic Equation

Expressions Relating to the Roots of a Polynominal

Linear Transformations of Roots

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Linear Transformations

Linear Transformations in Two Dimensions

Reflections and Rotations

Enlargement and Stretches

Successive Transformations

Linear Transformations in Three Dimensions

The Inverse of a Linear Transformation

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Argand Diagrams

Argand Diagrams

Modulus and Argument

Modulus-Argument form of Complex Numbers

Loci in the Argand Diagram

Regions in the Argand Diagram

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Volumes of Revolution

Volumes of Revolution Around the x-axis

Volumes of Revolution Around the y-axis

Adding and Subtracting Volumes

Modelling with Volumes of Revolution

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Series

Sums of Natural Numbers

Sums of Squares and Cubes

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Matrices

Introduction to Matrices

Matrix Multiplication

Inverting a 2 x 2 Matrix

Inverting a 3 x 3 Matrix

Solving Systems of Equations Using Matrices

Mechanics 1

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XYZ

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XYZ

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Core Pure 2

Digestible notes on A-Level Further maths

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Algsions

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XYZ

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XYZ

Mechanics 2

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Algsions

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XYZ

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XYZ

David Hilbert

"Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country."

Past Papers & Questions

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