Engineering Mathematics - EL318

Location Term Level Credits (ECTS) Current Convenor 2017-18 2018-19
Canterbury Autumn and Spring
View Timetable
4 15 (7.5) DR PR Young

Pre-requisites

None

Restrictions

None

2017-18

Overview

Lecture Syllabus

INTRODUCTION TO MATLAB (4 lectures)
Introduction to MATLAB, syntax, graphs, functions, loops, logical operators, arrays and matrices.

SIMPLE FUNCTIONS AND GRAPHS (4 lectures)
Revision of fundamental mathematics. Linear, polynomial, exp, log, circular functions. Odd and
even functions.

COMPLEX NUMBERS (4 lectures)
Complex Numbers: Addition, multiplication, division. Argand diagram, modulus argument
representation. De Moivre's theorem.

DIFFERENTIATION and SERIES (6 lectures)
Differentiation of simple functions, sums, products, reciprocals, inverses, function of a function.
Higher order derivatives. Maclaurin and Taylor series.

TRIGONOMETRY, VECTORS AND MATRICES (6 lectures)
Definition of a vector. Basic properties of vectors. Vector addition and subtraction. The scalar
product. Cross product. Definition of a matrix. Addition, subtraction and product. Determinant and
inverse of square matrices. Solution of simultaneous equations using matrices.

INTEGRATION (4 lectures)
Revision. Indefinite integrals. Definite integrals and interpretation as an area. Evaluation using
substitution and integration by parts.

SETS, PROBABILITY AND STATISTICS (6 lectures)
Sets and elements. Basic set operations. Probability and probability distributions. Mean, standard
deviation and variance. The Normal distribution.

Details

Contact hours

56 contact hours comprising of:
34 hours Lectures
15 hours Examples classes
6 hours Computing Laboratories
1 hour Introductory Test

Availability

Only available to students on programmes owned by The School of Engineering and Digital Arts

Method of assessment

60% Examination
40% Coursework

Preliminary reading

See http://readinglists.kent.ac.uk

See the library reading list for this module (Canterbury)

See the library reading list for this module (Medway)

Learning outcomes

1. A familiarity with aspects of algebra, trigonometry, set theory, calculus, vectors, matrices, series
and probability.
2. A fluency in the use of these mathematical tools in problem solving.
3. A knowledge of MATLAB and how it could be used to solve and visualise mathematical problems.

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