## 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 Modulus-Argument 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 subject-specific resources from the library.

## Trigonometry and Geometry

- Trigonometry & Pythagoras' TheoremBumper guide covers all below topics