Resource list

The following resource list was compiled by lecturers in the School of Mathematics, which you may find interesting and informative, but there is no pre-requisite reading that needs to be done. 

Online resources 

There are excellent online resources that introduce many topics relevant to our courses available, including: 

  • Mathcentre provides resources and materials, free of charge, for anyone looking for post-16 maths help.  
  • The Institute of Mathematics and its applications are holding a conference on Mathematics and Music in 2022 with individual seminars in the year ahead. They have previously hosted an online introductory keynote presentation which can be viewed on YouTube here and here

Reading list 

  • How to Solve It, George Polya 1990 This timeless book introduces heuristics, the study of the methods and rules of discovery, invention and human problem-solving.
  • How to Think like a Mathematician, Kevin Houston 2009 In this book Houston gives tips and techniques to ease new students into undergraduate mathematics, unlocking the world of definitions, theorems, and proofs. 
  • Why Study Mathematics? Vicky Neale 2020 This book explains the sort of maths you can expect to find at university and how it will be taught. It also highlights the wide variety of career options that a maths degree can open up. 
  • Calculus, Apostol, T. M., Waltham, Mass; London: Blaisdell, 1967
  • Calculus, Spivak, M, Houston, TX: Publish or Perish, 2008
  • Thomas' Calculus, Weir, M. D., Hass, J., & Thomas, George B., Boston: Pearson, 2010
  • Schaum's outlines calculus, Ayres, F., & Mendelson, E., New York; London: Schaum, 2013
  • Mechanics, P. Smith, R. C. Smith, Wiley, 1990
  • Classical mechanics : an undergraduate text, R. D. Gregory, Cambridge, 2006
  • Linear algebra, R. Kaye and R. Wilson, Oxford, 1998
  • An Introduction to Ordinary Differential Equations, J. C. Robinson, Cambridge, 2004
  • Elementary Differential Equations and Boundary Value Problems, W. E. Boyce and R. C. DiPrima, Wiley, 1969

Research and Innovation at the University 

Our research actively informs our teaching programme and you can follow these links to find out about our current research areas and work: 

Taster Lectures 

University-level resources 

The University of Leeds also offers many useful resources to help you transition to higher education learning.   

The Advanced Mathematics Support Programme

The Advanced Mathematics Support Programme (AMSP) is delighted to offer Year 13 students access, free of charge, to our Transition to University course designed especially to support students who have studied A level Mathematics and are progressing to an undergraduate degree course in mathematics, engineering, physics or a STEM related subject.

The course will help to consolidate some essential A level Mathematics skills and learn more about topics that will be encountered early in these university programmes. The course also includes suggested wider reading to explore these themes in greater depth.

The Transition to University course covers the following topics from A level Mathematics / Further Mathematics:

  • Trigonometric identities
  • Differentiation
  • Integration
  • Differential equations
  • Matrices
  • Complex numbers
  • Statistical distributions
  • Statistical hypothesis testing
  • Kinematics
  • Forces and friction