# Unit information: Engineering Mathematics 1 in 2015/16

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Unit name Engineering Mathematics 1 EMAT10100 20 C/4 Teaching Block 4 (weeks 1-24) Professor. Champneys Not open A-level common core in mathematics, or equivalent None Department of Engineering Mathematics Faculty of Engineering

## Description including Unit Aims

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 Information

Lectures.

There are also additional but optional walk-in support classes (3 hours per week) in which postgraduate students offer ad-hoc support to students on an individual basis

## Assessment Information

1.5-hour Midsessional Exam: 20% (Learning Outcomes 1-3, 5) 3-hour Summer Exam: 80% (Learning Outcomes 1-5)

Hand in by week 17 feedback will be given in week 20

• 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.