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16 docs tagged with "FurtherMaths"

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Centres of Mass and Elastic Collisions

A-Level Further Maths notes on Centres of Mass and Elastic Collisions: Board Coverage; 1. Centre of Mass of a Uniform Lamina; 1.1 Centre of mass by integration.

Chi-Squared Tests

A-Level Further Maths notes on Chi-Squared Tests: Board Coverage; 1. The Chi-Squared Distribution; 1.1 Definition; 1.2 Properties.

Circular Motion

A-Level Further Maths notes on Circular Motion: Board Coverage; 1. Angular Quantities; 1.1 Definitions; 1.2 Relationship with linear quantities.

Complex Numbers

A-Level Further Maths notes on Complex Numbers: Board Coverage; 1.1 The Argand Diagram; 1.2 Modulus and Argument; 2. De Moivre's Theorem.

Differential Equations

A-Level Further Maths notes on Differential Equations: Board Coverage; 1. First-Order ODEs: Separable Equations; 1.1 Definition; 1.2 Method.

Further Algebra

A-Level Further Maths notes on Further Algebra: Board Coverage; 1. Polynomial Division and the Remainder Theorem; 1.1 Polynomial long division.

Further Calculus

A-Level Further Maths notes on Further Calculus: Board Coverage; 1. Integration by Parts (Advanced); 1.1 The formula — proof from the product rule.

Further Mathematics

A-Level Further Maths notes on Further Mathematics: Board Coverage for comprehensive revision and examination preparation.

Hyperbolic Functions

A-Level Further Maths notes on Hyperbolic Functions: Board Coverage for comprehensive revision and examination preparation.

Maclaurin and Taylor Series

A-Level Further Maths notes on Maclaurin and Taylor Series: Board Coverage; 1. Maclaurin Series; 1.1 Definition; 1.2 Derivation from the Taylor series.

Matrices

A-Level Further Maths notes on Matrices: Board Coverage; 1. Matrix Notation and Operations; 1.1 Matrix Addition and Scalar Multiplication; 1.2 Matrix Multipl.

Polar Coordinates

A-Level Further Maths notes on Polar Coordinates: Board Coverage; 1. Converting Between Cartesian and Polar; 1.1 Definitions; 1.2 Converting from polar to Ca.

Projectile Motion

A-Level Further Maths notes on Projectile Motion: Board Coverage; 1. Equations of Motion; 1.1 Setting up the problem; 1.2 Horizontal motion (constant velocity).

Vectors in 3D

A-Level Further Maths notes on Vectors in 3D: Board Coverage; 1. Review of A Level Vectors; 2.1 Notation; 2.2 Position vectors and displacement.