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
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Algebra 2: Expanding brackets & factorisation Expanding brackets Simple factorisation Quadratic factorisation Completing the square
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Algebra 3: Simple equations Solving simple equations Evaluation and transposition of formulae
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Algebra 4: Quadratic & simultaneous equations Solving quadratic equations Solving simultaneous equations
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Algebra: Factorising and Long Division 1 Revision of multiplying brackets Factorisation Long division in algebra
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Algebra - Factorising and Long Division 2 Revision of multiplying brackets Factorisation Long Division in Algebra
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Algebraic Fractions Simplification Multiplication & Division Addition & Subtraction
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Complex numbers Introduction Argand diagram The four rules Modulus-Argument form Roots
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Graphs 1 Introduction Straight line graphs Graphs of quadratics Common types of graph
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Graphs 2 Revision of straight line graphs and quadratics Cubics Quartics Higher powers Fractional functions Modulus functions
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Logarithms Revision of indices What are logarithms? Rules for manipulation Solving equations using logs The straight line law Graph of Inx and its inverse
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Matrices Introduction Order, addition and subtraction Equality Multiplication Identity and invers Echelon method
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Partial fraction & integration Partial fractions Integration using partial fractions
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Vectors 1: Operations, scalar/vector products What is a vector? Arithmetic operations on vectors Scalar (dot) product Vector (cross) product
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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
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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
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Fractions What are fractions? Addition and subtraction Multiplication Division
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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
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Percentages Finding a percentage Increasing by percentage Decreasing by percentage Finding a percentage change
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Power of 10, Units & Standard Form Units names & conversion Scientific or standard form Degrees of accuracy
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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
- 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
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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
- 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.
