Maths & numeracy: Algebra

Using letters for number
Substitution
Simplification of expressions
Indices

Expanding brackets
Simple factorisation
Quadratic factorisation
Completing the square

Solving simple equations
Evaluation and transposition of formulae

Solving quadratic equations
Solving simultaneous equations

Revision of multiplying brackets
Factorisation
Long division in algebra

Revision of multiplying brackets
Factorisation
Long Division in Algebra

Simplification
Multiplication & Division
Addition & Subtraction

Introduction
Argand diagram
The four rules
Modulus-Argument form
Roots

Introduction
Straight line graphs
Graphs of quadratics
Common types of graph

Revision of straight line graphs and quadratics
Cubics
Quartics
Higher powers
Fractional functions
Modulus functions

Revision of indices
What are logarithms?
Rules for manipulation
Solving equations using logs
The straight line law
Graph of Inx and its inverse

Introduction
Order, addition and subtraction
Equality
Multiplication
Identity and invers
Echelon method

Partial fractions
Integration using partial fractions

What is a vector?
Arithmetic operations on vectors
Scalar (dot) product
Vector (cross) product

Recap on vectors
Unit vectors, normals and bases
Vector equations of straight lines and planes
Intersections of lines and planes
Div, grad, curl & the laplacian

Introduction
Inequalities: (basic facts, solution, fractional functions)
Modulus: (meaning, solution of equation