2017/18 Undergraduate Module Catalogue

ELEC1702 Engineering Mathematics

10 creditsClass Size: 160

Module manager: Prof Christoph Walti
Email: c.walti@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2017/18

Pre-requisite qualifications

Grade B in 'A'level Mathematics

This module is mutually exclusive with

ELEC1701

Introduction to Engineering Mathematics

This module is not approved as a discovery module

Objectives

This module provides the opportunity to revise essential engineering mathematics concepts and to develop understanding in essential new areas for application to electronics.

Learning outcomes
On completion of this module, students should be able to:

- sketch trigonometric, exponential, natural log and polynominal functions;
- understand the connection between derivative and slope and quote the derivatives of basic functions;
- know what is meant by a stationary point and be able to classify the stationary points of simple functions;
- quote the general form of the Maclaurin and Taylor series, and determine the series of simple functions;
- be able to quote the indefinite integrals of basic functions;
- integrate by parts, and use substitutions to evaluate integrals;
- carry out a simple partial fraction expansion of a function and use it to integrate;
- add, subtract, multiply and divide complex numbers;
- apply De Moivre's theorem;
- add and subtract 2-dimensional and 3-dimensional vectors;
- calculate scalar and vector products.

Syllabus

Exponential functions. Logarithms and natural logarithms. Logarithmic scales. Application to calculate decibel quantities and decibel changes. Hyperbolic functions. Principle of differentiation. Differentiation of standard functions. Differentiation of a product and a quotient. Chain rule. Differentiation from first principles. Practical application of differentiation. Determination of maxima and minima. Taylor and Maclaurin series. Series expansion of exponential, logarithmic and trigonometric functions.Principle of integration. Integrals of standard functions. Methods of integration: substitutions, integration by parts and via partial fractions. The trapezium rule. Vectors: Practical examples of vector quantities. Vector notations. Addition and substraction of vectors in 2 and 3 dimensions. Scalar product, Vector product and Scalar triple product. Complex numbers: Cartesian and polar forms; Argand diagrams and vector representation. Arithmetic of complex numbers. De Moivre's theorem. Complex roots of equations: complex solutions of the quadratic formula; complex roots of polynomials; graphical interpretation. Complex representation of sine & cosine & analogy with hyperbolic functions.

Teaching methods

Delivery type	Number	Length hours	Student hours
Example Class	10	1.00	10.00
Laboratory	3	3.00	9.00
Lecture	20	1.00	20.00
Private study hours			61.00
Total Contact hours			39.00
Total hours (100hr per 10 credits)			100.00

Methods of assessment

Coursework

Assessment type	Notes	% of formal assessment
In-course Assessment	Matlab test	10.00
In-course Assessment	Written tests	40.00
Total percentage (Assessment Coursework)		50.00

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Exams

Exam type	Exam duration	% of formal assessment
Standard exam (closed essays, MCQs etc)	2 hr 00 mins	50.00
Total percentage (Assessment Exams)		50.00

Re-sits for ELEC modules are subject to the rules in the School’s Code of Practice on Assessment. Students should be aware that, for some modules, a re-sit may only be conducted on an internal basis (with tuition) in the next academic session.

Reading list

There is no reading list for this module

Last updated: 08/05/2017

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