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Unit information: Engineering Mathematics 1 in 2021/22

Unit name Engineering Mathematics 1
Unit code EMAT10100
Credit points 20
Level of study C/4
Teaching block(s) Teaching Block 4 (weeks 1-24)
Unit director Professor. Champneys
Open unit status Not open

A-level common core in mathematics, or equivalent



School/department Department of Engineering Mathematics
Faculty Faculty of Engineering


Description There are five main sections: Algebra (vectors, complex numbers, matrices as transformations, solving equations using matrices, eigenvalues and eigenvectors); Analysis (Sequences, series, functions, curve sketching, introduction to fourier series, introduction to numerical analysis); Calculus (differentiation and integration of functions of one variable, taylor series, numerical root finding, introduction to partial differentiation); Differential Equations (concepts, separation of variables, linear first and second-order equations, systems, numerical solutions); and Probability (basic concepts, events, random variables, empirical discrete and continuous distributions).

Aims The principal aim of this faculty-wide unit is to bring students entering the Faculty of Engineering up to a common standard in mathematics. The unit contains the well recognised elements of classical engineering mathematics which universally underpin the formation of the professional engineer.

Intended learning outcomes

  1. To gain familiarity with the basic mathematics needed for engineering degree programmes.
  2. To be able to manipulate and solve mathematical problems involving algebraic and analytic concepts such as matrices, vectors, complex numbers, differentials, integrals, and sequences.
  3. To be able to link such algebraic and analytical concepts to geometric concepts in the form of graphs.
  4. To gain a basic understanding of how data is represented and manipulated in computations deterministically and using the laws of probability applied to a single random variable.
  5. To understand the relevance of these concepts to representation and solution of engineering problems.

Teaching details

Teaching will be delivered through a combination of synchronous and asynchronous sessions, including lectures, supported by live online sessions, problem sheets and self-directed exercises

Assessment Details

1 Summative Assessment, 100% - Summer Exam. This will assess all ILOs.

Formative assessments throughout the year.

Reading and References

  • Modern Engineering Mathematics (4th edition), Glyn James et. al. Pearson Aug 2007, Paperback, 1128 pages ISBN: 9780132391443 £34.99

Other textbooks which students may find useful are:

  • Mathematical Techniques: an Introduction for the Engineering, Physical and Mathematical Sciences, Jordan D W and Smith P. OUP, £163;15. ISBN: 0198562675
  • Engineering Mathematics (5th edition), K A Stroud & D J Booth. Palgrave, £24.99
  • Mathematics in Engineering and Science, L R Mustoe and M D J Barry. John Wiley and Sons. 1998. Covers almost all of the syllabus and especially the background material