Algebra
These handy PDF guides can be viewed electronically or printed.

Algebra 1: Using letters for numbers Using letters for number
Substitution
Simplification of expressions
Indices 
Algebra 2: Expanding brackets & factorisation Expanding brackets
Simple factorisation
Quadratic factorisation
Completing the square 
Algebra 3: Simple equations Solving simple equations
Evaluation and transposition of formulae 
Algebra 4: Quadratic & simultaneous equations Solving quadratic equations
Solving simultaneous equations 
Algebra: Factorising and Long Division 1 Revision of multiplying brackets
Factorisation
Long division in algebra 
Algebra  Factorising and Long Division 2 Revision of multiplying brackets
Factorisation
Long Division in Algebra 
Algebraic Fractions Simplification
Multiplication & Division
Addition & Subtraction 
Complex numbers Introduction
Argand diagram
The four rules
ModulusArgument form
Roots 
Graphs 1 Introduction
Straight line graphs
Graphs of quadratics
Common types of graph 
Graphs 2 Revision of straight line graphs and quadratics
Cubics
Quartics
Higher powers
Fractional functions
Modulus functions 
Logarithms Revision of indices
What are logarithms?
Rules for manipulation
Solving equations using logs
The straight line law
Graph of Inx and its inverse 
Matrices Introduction
Order, addition and subtraction
Equality
Multiplication
Identity and invers
Echelon method 
Partial fraction & integration Partial fractions
Integration using partial fractions 
Vectors 1: Operations, scalar/vector products What is a vector?
Arithmetic operations on vectors
Scalar (dot) product
Vector (cross) product 
Vectors 2 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 
Inequalities & Modulus Introduction
Inequalities: (basic facts, solution, fractional functions)
Modulus: (meaning, solution of equation

Resources in the libraryIn addition to the handy online guides above, there are a range of books and ebooks available from the university library.
Study skills

Maths study skills Studying maths at university.

Maths phobia The fear of maths
Arithmetic

Estimation and mental methods General guidelines for calculating
Addition
Subtraction
Multiplication
Division 
Fractions What are fractions?
Addition and subtraction
Multiplication
Division 
Fractions and Decimals & Percentages Fractions and Decimals & Percentages: how to link them

Maths for healthcare professionals Fractions
Decimals
Ratio
Percentages
BMI
Averages
Unit Conversion
Dosage calculation 
Percentages Finding a percentage
Increasing by percentage
Decreasing by percentage
Finding a percentage change 
Power of 10, Units & Standard Form Units names & conversion
Scientific or standard form
Degrees of accuracy 
Psychometric Tests (numerical) What are psychometric tests?
What to expect
Question types
Online tests
Practice questions
Hints and tips

Resources in the libraryIn addition to the handy online guides above, there are a range of books and ebooks available from the university library.
Calculus

Differentiation 1: Functions and rules Simple functions
Product rule
Quotient rule
Function of a function (chain rule) 
Differentiation 2: Functions and parametric equations Exponential functions
Logarithmic functions
Implicit differentiation
Logarithmic differentiation
Parametric equations 
Differential Equations 1 Simple functions of a variable
Product rule
Quotient rule
Function of a function (Chain rule) 
Differential Equations 2 2nd Order Differential Equations

Integration 1: Basic and definite Basic Integration
Definite integration 
Integration 2 Integration by substitution
Integration by parts
Reduction methods 
Partial fractions & integration Partial fractions
Integration using partial fractions

Resources in the libraryIn addition to the handy online guides above, there are a range of books and ebooks available from the university library.
Probability & statistics

Online Statistics TextbookThe Hyperstat Online Statistics Textbook by David Lane of Rice University covers most common areas of statistics including probability, confidence intervals, and hyphothesis testing.

Statistics GuideDescribed as "for laboratory and clinical researchers" and created as a companion for the GraphPad program, but suitable for anyone wanting a clear explanation of statistical thinking, types of data and statistical tests. Written by Dr Harvey Motulsky.

Books from the libraryA range of general and subjectspecific resources from the library.
Trigonometry and Geometry

Trigonometry & Pythagoras' TheoremBumper guide covers all below topics

Resources in the libraryIn addition to the handy online guides above, there are a range of books and ebooks available from the university library.