Algebra and Complex numbers
These handy PDF guides can be viewed electronically or printed.
- Algebra 1: Using letters for numbersUsing letters for number
Substitution
Simplification of expressions
Indices - Algebra 2: Expanding brackets & factorisationExpanding brackets
Simple factorisation
Quadratic factorisation
Completing the square - Algebra 3: Simple equationsSolving simple equations
Evaluation and transposition of formulae - Algebra 4: Quadratic & simultaneous equationsSolving quadratic equations
Solving simultaneous equations - Algebra: Factorising and Long Division 1Revision of multiplying brackets
Factorisation
Long division in algebra - Algebra - Factorising and Long Division 2Revision of multiplying brackets
Factorisation
Long Division in Algebra - Algebraic FractionsSimplification
Multiplication & Division
Addition & Subtraction - Complex numbersIntroduction
Argand diagram
The four rules
Modulus-Argument form
Roots
- Resources in the libraryIn addition to the handy online guides above, there are a range of books and ebooks available from the university library.
Graphs, Logarithms, matrices, integration and vectors
These handy PDF guides can be viewed electronically or printed.
- Graphs 1Introduction
Straight line graphs
Graphs of quadratics
Common types of graph - Graphs 2Revision of straight line graphs and quadratics
Cubics
Quartics
Higher powers
Fractional functions
Modulus functions - LogarithmsRevision of indices
What are logarithms?
Rules for manipulation
Solving equations using logs
The straight line law
Graph of Inx and its inverse - MatricesIntroduction
Order, addition and subtraction
Equality
Multiplication
Identity and invers
Echelon method - Partial fraction & integrationPartial fractions
Integration using partial fractions - Vectors 1: Operations, scalar/vector productsWhat is a vector?
Arithmetic operations on vectors
Scalar (dot) product
Vector (cross) product - Vectors 2Recap on vectors
Unit vectors, normals and bases
Vector equations of straight lines and planes
Intersections of lines and planes
Div, grad, curl & the laplacian - Inequalities & ModulusIntroduction
Inequalities: (basic facts, solution, fractional functions)
Modulus: (meaning, solution of equation
