Mathematics study guides

Study guides are available in two formats: Word and PDF (which can be opened on any system). Most computers will open PDF documents automatically but you may need to download Acrobat Reader onto your computer in order to read them. It is FREE to download if you do not have it. It is automatically available on all University of Hull networked PCs.

Please Note: The following information, with the exception of external web links, is Copyright of the University of Hull. Most of our material can be made available to Hull University students and staff in an alternative format on request: email studyadvice@hull.ac.uk or tel. 01482 466199.

We are grateful to the ThatQuiz maths website (Andrew Lyczak) for allowing us to make available the range of quizzes.

Algebra 1  - Using letters for numbers, substitution, simplifying expressions and indices. Word. PDF. Algebra Quiz.

Algebra 2 - Expanding brackets, simple and quadratic factorisation and completing the square. Word. PDF. 

Algebra 3  - Solution of linear equations, evaluation and transposition of formulas. Word. PDF.  

Algebra 4 - Solution of quadratic and simultaneous equations. Word. PDF. Handy study tip. 

Algebra: Factorising and long division- Algebraic factors and matrix method for long division. Word. PDF. 

Algebraic fractions - Simplification, multiplying and dividing, and adding and subtracting. Word. PDF.  

Complex numbers- Argand diagram, the Four Rules and the Modulus-Argument form. Word. PDF.  

Data analysis- "Analyse This" is a free online tutorial developed by Manchester Metropolitan University and designed to develop students' data analysis skills. The tutorial looks at quantitative and qualitative data analysis, with some practical examples and advice on effectively analysing data.

Differential equations 1  - First order: exact, variables separable and homogeneous. Word. PDF. Handy study tip. 

Differential equations 2  - Second order: auxiliary equations and complementary functions. Word. PDF.  

Differentiation 1 - Differentiation of simple functions, products, quotients and function of a function (chain rule). Word. PDF.  Quiz (Please select the 'Derivatives' button in the left-hand column of the quiz page for this set of questions).

Differentiation 2  - Exponential, logarithmic and implicit functions; logarithmic differentiation; parametric equations and general solutions. Word. PDF.  

Estimation and mental methods  - Improve your confidence when handling numbers in a technical situation.  Advice is provided on addition, subtraction, multiplication and division. Word. PDF. YouTube video clip. 

Fractions  - An explanation of fractions for beginners: cancelling down, addition, subtraction, multiplication and division. Word. PDF. Handy study tip. Fractions quiz. 

Fractions, decimals and percentages - How to link them. Word. PDF. Quiz. 

Graphs 1 - Theory and exercises which cover straight line graphs, graphs of quadratics and common types of graph. Word. PDF.  Handy study tip. Quiz (Please select the 'Formulas' button in the left-hand column of the quiz page for this set of questions).

Graphs 2 - Theory and exercises which cover quadratics, cubic, quartic, higher powers, fractional functions and modulus functions. Word. PDF.  Handy study tip. Quiz (Please select the 'Formulas' button in the left-hand column of the quiz page for this set of questions). 

Inequalities and modulus- Meaning and use, solution by algebra and curve sketching, quotients, modulus. Word. PDF. Quiz. 

Integration 1  - Integration of simple functions, definite integration with applications including area, volume and kinematics. Word. PDF. Handy study tip. Quiz (Please select the 'Integrals' button in the left-hand column of the quiz page for this set of questions).

Integration 2  - Integration by substitution and by parts, use of reduction methods. Word. PDF. 

Logarithms  - Indices, definition of logarithm, rules for manipulation, solving index equations, straight-line law. Word. PDF. Quiz (Please select the 'Logarithms' button in the left-hand column of the quiz page for this set of questions). 

Maths for healthcare professionals - A series of 3 friendly guides tailored to the medical world: Fractions and Decimals.  Word. PDF; Ratio and Percentage. Word. PDF; Unit Conversion and Dosage Calculation. Word. PDF. These methods are all used to calculate drug dosages - which are explained using relevant examples. Handy study tip.

Mathematics in decision making  - An introduction to maths for business studies and management students (levels 5 and 6)  Word. PDF.

Maths phobia  - Discussion of the problems people have with learning and using mathematics and explains strategies to counteract them. Word. PDF. YouTube video clip. 

Matrices  - Order, addition, subtraction and multiplication, identity, inverse, solution of equations, echelon method for inverse and solution of equations. Word. PDF.  

Partial fractions and integration  - Various forms of partial fractions and their use in integration. Word. PDF.  

Percentages - Percentage change, increasing and decreasing by a percentage. Word. PDF. Handy study tip. 

Powers of 10, units and standard form - Decimal arithmetic, decimal places etc. Word. PDF. Handy study tip. 

Psychometric tests (numerical) - Explains what psychometric tests are and what to expect in the way of question types and online tests. Gives some practice questions and hints and tips for being successful. Word. PDF.  Handy study tip.   Practice online psychometric tests (University of Hull students only).

Quantitative and qualitative data analysis - see Data analysis

Statistics - This Hyperstat Online Statistics Textbook is an online textbook by David Lane of Rice University covering probability, confidence interval and hypothesis testing etc.

Study skills in mathematics - A variety of advice is provided about how to achieve more from your mathematical studies. Word. PDF. Handy study tip.

Trigonometry and Pythagoras' Theorem - Introduction to trigonometry, using trigonometry to find an unknown side and an unknown angle, trigonometric diagrams and identities and Pythagoras' Theorem. Word. PDF. Handy study tips 1, 2, 3, 4.

Vectors 1 - 'What are the vectors?', vector arithmetic, scalar product and dot product. Word. PDF. 

Vectors 2  - Unit vectors, normals, equations and intersections of lines and planes, Div, Grad, Curl and the Laplacian. Word. PDF.  

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