MATHEMATICS materials available from
PLEASE NOTE: All the following information is Copyright of The University of Hull
Algebra 1 - using letters for numbers, substitution, simplifying expressions, and indices
Algebra 2 - expanding brackets, simple and quadratic factorisation, and completing the square
Algebra 3 - solution of linear equations, evaluation and transposition of formulas
Algebra 4 - solution of quadratic and simultaneous equations
Algebra: Factorising and Long Division - algebraic factors, and matrix method for long division
Algebraic Fractions - simplification, multiplying and dividing, and adding and subtracting,
Complex Numbers - Argand diagram, The Four Rules, and the Modulus-Argument form
Curve Sketching (of algebraic functions) - basic functions, quotients, and modulus.
Differential Equations 1 - first order; exact, variables separable, homogeneous
Differential Equations 2 - second order; auxiliary equations, complementary functions
Differentiation 1 - differentiation of simple functions, products, quotients and function of a function (chain rule). [QUIZ: Please click 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
Estimation and Mental Methods - improve your confidence when handling numbers in a technical situation. Advice is provided on addition, subtraction, multiplication, and division
Fractions - what they are, the four rules
Fractions, Decimals and Percentages - how to link them
Inequalities and Modulus - meaning and use, solution by algebra and curve sketching, quotients, modulus
Integration 1 - integration of simple functions, definite integration with applications including area, volume and kinematics. [QUIZ: Please click 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
Logarithms - indices, definition of logarithm, rules for manipulation, solving index equations, straight-line law. [QUIZ: Please click the 'Logarithms' button - in the left-hand column of the quiz page - for this set of questions]
Mathematics Practice for Nursing and Midwifery - a friendly guide tailored to the medical world
Maths Phobia - discussion of the problems people have with learning and using mathematics, and explains strategies to counteract them
Matrices - order, addition, subtraction and multiplication, identity, inverse, solution of equations, echelon method for inverse and solution of equations
Partial Fractions and Integration - various forms of partial fractions and their use in integration
Percentages - percentage change, increasing and decreasing by a percentage
Powers of 10, Units and Standard Form - decimal arithmetic, decimal places etc.
Study Skills in Mathematics - a variety of advice is provided about how to achieve more from your mathematical studies
Vectors 1-work in progress
Vectors 2- work in progress
ACADEMIC WRITING and STUDY SKILLS materials available from
Academic Writing - Important guidelines on the key skills required to write well within a university context
Apostrophes - How to make sure that you have the correct apostrophe (') in your work (see also Capital letters, Hyphen, and Punctuation)
Capital letters - The principles of when to use them and when to avoid them (see also Apostrophes, Hyphen, and Punctuation)
Case Studies - What is a case study, why students are asked to write them and how to set about it
Critical and Analytical Thinking - How to improve your powers of evaluation and analysis in an academic way
Dissertations - General advice about writing an undergraduate or postgraduate dissertation for students of any discipline
Essay checklist - A handy list of things to remember when essay writing
Essays - A detailed look at planning and writing essays
Examinations - Hints on how to approach revision and examinations - and survive
GRAMMAR Series - See separate table dedicated to Grammar Advice
GRAMMAR: Parts of Speech Checklist - A brief and useful overview. For detailed information about the many aspects of Grammar, please click the link in the above row.
Group Work - What it is and how to make it work effectively
Homophones - Words that sound the same but have different meanings and spellings
Hyphen or Dash? - How to hyphen and dash correctly (see also Apostrophes, Capital letters, and Punctuation)
Independent Learning - How to make the most of the 'do-it-yourself' approach to study
Information Overload - How to avoid it
JARGON: Academic - A glossary of troublesome terms often used in the academic world. This list is expanding and evolving all the time - watch this space for more words...
JARGON: Computing - A glossary of E-Learning terms frequently used in the complex world of computing.
Learning Styles - There are many ways to learn, and this resource provides some new approaches
Literature Reviews - How to write and structure them and why they are needed in academia
Motivation - Can't get started? Can't get finished? Fight apathy - read this!
Note-taking - How to take and use notes
Plagiarism - What is it? How can I avoid it? Don't be a copy cat (see also Referencing)
Plurals - They may be regular in other languages, but not in English
Portfolios - What they are and how to produce them
Presentations - Stand up and talk to your audience in a way that counts
Punctuation checklist - A handy list of punctuation marks - with examples of their use. A much more detailed L/R is also available on this topic.
Questionnaires - How to design a questionnaire in order to get a wide range of accurate results which can be used to test theories
Reading - Help with efficient reading techniques
Referencing - Vital information on how to reference the sources you have used (see also Plagiarism)
Reflective Learning - Why reflection upon academic work is important and how to go about it
Remembering - Don't forget to read this one
Report Writing - The basics of writing a good report
Research Proposals - How to get the appropriate approval from the appropriate people
Resource Gathering - How to obtain and make the most of research materials
Scientific Report Writing- work in progress...
Sentences - Make sense with your sentences (see also Grammar Series No.5)
Spellcheckers - Limitations of computer spell checkers and why there is no substitute for proof reading
Time Management - How to make the most of this priceless gift during your time at university
Transition from School to Higher Education - Issues to consider when you transfer from school to university
Transition from Undergraduate to Postgraduate Study in Higher Education - Potential problems and how to avoid them
Transition from Work to Study in Higher Education - Things to expect in the new environment
Study Skills in Mathematics: What can we do to help students? L.Ireland