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Unit information: Mathematics 1A20 in 2022/23

Please note: It is possible that the information shown for future academic years may change due to developments in the relevant academic field. Optional unit availability varies depending on both staffing, student choice and timetabling constraints.

Unit name Mathematics 1A20
Unit code MATH11004
Credit points 20
Level of study C/4
Teaching block(s) Teaching Block 1 (weeks 1 - 12)
Unit director Dr. Tourigny
Open unit status Not open

A-level Mathematics at grade C or above



School/department School of Mathematics
Faculty Faculty of Science


Lecturers: Yves Tourigny and Maria Banks

Unit Aims

To consolidate, develop and extend the skills in single variable calculus introduced at A level.

Unit Description

This unit is designed for students with a good grasp of A level mathematics who want a 20 credit-point unit on mathematical techniques.

The unit begins with some basic ideas revising and extending school-level calculus, and then goes on to a thorough treatment of the calculus from the point of view of scientific applications. The subject is developed as far as differential equations and Fourier series. The mathematics is treated with enough logical precision to enable correct calculations and correct deductions to be made.

Intended learning outcomes

After taking this unit, students should have a thorough grasp of one-variable calculus and complex numbers, including simple differential equations and Fourier Series.

Transferable Skills:

Mathematical techniques for application in the physical sciences.

Teaching details

The unit will be taught through a combination of

  • synchronous online and, if subsequently possible, face-to-face lectures
  • asynchronous online materials, including narrated presentations and worked examples
  • guided asynchronous independent activities such as problem sheets and/or other exercises
  • synchronous weekly group problem/example classes, workshops and/or tutorials
  • synchronous weekly group tutorials
  • synchronous weekly office hours

Assessment Details

End-of-unit timed open-book examination (100%)

Reading and References


  • D.W. Jordan and P. Smith, Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences, Oxford University Press, 2008


  • J.S. Berry, Allan Northcliffe, and Stephen Humble, Introductory Mathematics Through Science Applications, Cambridge University Press, 1989
  • Mary L. Boas, Mathematical Methods in the Physical Sciences, Wiley and Sons, 2006
  • John E. Gilbert and C.R. Jordan, Guide to Mathematical Methods, Palgrave, 2002
  • Alan Jeffrey, Mathematics for Engineers and Scientists, Chapman &Hall, 2005
  • Alan Jeffrey, Essentials of Engineering Mathematics, Chapman &Hall, 2005
  • James Stewart, Calculus: Early Transcendentals, Brooks/Cole, 2012