Algebra
These handy PDF guides can be viewed electronically or printed.
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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
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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
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Maths study skills Studying maths at university.
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Maths phobia The fear of maths
Arithmetic
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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
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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
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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
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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
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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
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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
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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.
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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.
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Books from the libraryA range of general and subject-specific resources from the library.
Trigonometry and Geometry
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Trigonometry & Pythagoras' TheoremBumper guide covers all below topics
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Resources in the libraryIn addition to the handy online guides above, there are a range of books and ebooks available from the university library.
