# ENGINEERING MATHEMATICS III - 2022/3

Module code: EEE2035

## Module Overview

Expected prior learning:  Mathematical experience equivalent to Year 1 of EE Programmes.

Module purpose:   This module builds on the fundamental tools and concepts introduced in the Mathematics modules in Year 1 and applies them to further engineering examples.  A broad range of mathematics topics is covered, and their applications are always borne in mind.

### Module provider

Electrical and Electronic Engineering

DEANE Jonathan (Maths)

### Module cap (Maximum number of students): N/A

Independent Learning Hours: 90

Lecture Hours: 33

Tutorial Hours: 11

Guided Learning: 5

Captured Content: 11

Semester 1

None

## Module content

Indicative content includes the following:

[1 - 4] Fourier Series and Fourier Transforms. Comparison of time and frequency domain. Fourier transforms and inverse transforms. Convolution. Application to signal processing. Quick method for calculating Fourier transforms.

[5 - 6] Probability. Meaning of probability. Dependent, independent and mutually exclusive events.

[7 - 10] Statistics. Definition of terms. The probability density function. Normalisation. Normal, Binomial and Poisson probability density functions. Applications to errors, noise, and least squares fitting of straight lines and other curves to data.

[11 - 12] Method of least squares. Applications to treatment of experimental results.

[13 - 16] Matrices. Determinants. Matrix algebra. Transpose and inverse. Solution of linear    simultaneous equations. Eigenvalues and eigenvectors. Two-port parameters.

[17 - 18] The wave equation. Derivation and d'Alembert solution.

[19 - 22] Laplace transforms. Complex frequency. Partial fractions and the solution of differential equations by Laplace transform. Mechanical examples as well as electronic ones.

[23 - 27] Z-transforms. Definition, properties, inversion. Applications and worked examples.

[28 - 30] Cross- and Autocorrelation.  Definition, examples, applications.

## Assessment pattern

Assessment type Unit of assessment Weighting
Coursework PROBLEM SHEET 1 10
Coursework PROBLEM SHEET 2 10
Examination 2HR invigilated exam 80

## Alternative Assessment

Not applicable: students failing a unit of assessment resit the assessment in its original format.

## Assessment Strategy

The assessment strategy for this module is designed to provide students with the opportunity to demonstrate the learning outcomes. The written examination will assess the knowledge and assimilation of mathematical terminology, notation, concepts and techniques, as well as the ability to work out solutions to previously unseen problems under time-constrained conditions. The assignments give the students a chance to practise the required techniques shortly after they have been taught and in problems of a similar level to those that they will meet in the exam.

Thus, the summative assessment for this module consists of the following.

·         2-hour, closed-book written examination.

·         Two take-home problem sheets, submitted as coursework.

Formative assessment and feedback

For the module, students will receive formative assessment/feedback in the following ways.

·         During lectures, by question and answer sessions

·         During office hour meetings with students

·         By means of unassessed tutorial problems in the notes (with answers/model solutions)

·         Via assessed coursework

Any deadlines given here are indicative. For confirmation of exact dates and times, please check the Departmental assessment calendar issued to you.

## Module aims

• Students will be able to demonstrate the application of relevant mathematics underpinning telecommunications, linear systems, digital signal processing, networks and laboratories, as well as substantial parts of many final year modules.

## Learning outcomes

 Attributes Developed 1 Apply mathematics analytically to a range of engineering problems. KPT 2 Select the appropriate mathematical techniques for a range of problems, while bearing in mind the limitations of these techniques. KCT 3 Demonstrate ability to present solutions in a clear and structured way. KCPT

Attributes Developed

C - Cognitive/analytical

K - Subject knowledge

T - Transferable skills

P - Professional/Practical skills

## Methods of Teaching / Learning

The learning and teaching strategy is designed to achieve the following aims:

• Student familiarity with the basic concepts, notations and techniques used in mathematics as it is applied to engineering, as taught in Mathematics I and II.

• Facility with the fundamental tools of applied  mathematics that will support many other courses in the current and next Level of Electronic Engineering degree programmes.

Learning and teaching methods include the following:

• Lectures (3 hours per week for 11 weeks).

• Class discussion in lectures.

• One-to-one sessions with lecturer during office hours by arrangement.

• One 1-hour pre-recorded tutorial per week.

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

Upon accessing the reading list, please search for the module using the module code: EEE2035

## Programmes this module appears in

Programme Semester Classification Qualifying conditions
Electronic Engineering with Computer Systems BEng (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Electronic Engineering BEng (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Electrical and Electronic Engineering BEng (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Electronic Engineering with Nanotechnology BEng (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Electronic Engineering with Nanotechnology MEng 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Electronic Engineering with Space Systems BEng (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Electronic Engineering with Space Systems MEng 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Computer and Internet Engineering BEng (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Electrical and Electronic Engineering MEng 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Electronic Engineering with Computer Systems MEng 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Electronic Engineering MEng 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Computer and Internet Engineering MEng 1 Compulsory A weighted aggregate mark of 40% is required to pass the module

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2022/3 academic year.