CE262-5-AU-CO:
Engineering Mathematics

The details
2016/17
Computer Science and Electronic Engineering (School of)
Colchester Campus
Autumn
Undergraduate: Level 5
Current
15
12 March 2010

 

Requisites for this module
CE142
(none)
(none)
(none)

 

CE269

Key module for

BENGH610 Electronic Engineering,
BENGH611 Electronic Engineering (Including Year Abroad),
BENGH61P Electronic Engineering (Including Foundation Year),
BENGHP10 Electronic Engineering (Including Placement Year),
MENGH613 Electronic Engineering,
MENGH614 Electronic Engineering (Integrated Masters, Including Placement Year),
BENGH641 Communications Engineering,
BENGHP41 Communications Engineering (Including Foundation Year),
BENGHPK1 Communications Engineering (Including Placement Year),
BENGHQ41 Communications Engineering (Including Year Abroad),
BENGH615 Robotic Engineering,
BENGH616 Robotic Engineering (Including Year Abroad),
BENGH617 Robotic Engineering (Including Placement Year),
BSC H631 Electronics,
BSC H632 Electronics (Including Year Abroad),
BSC H633 Electronics (Including Placement Year)

Module description

The module is designed to develop key mathematical skills that can be applied throughout engineering. Subjects include integral transform theory and probability theory. These are developed in the context of concrete engineering problems in signal processing, circuit theory, reliability, and communication networks. There is emphasis throughout on using software tools (exemplified by Matlab) as an aid to understanding and solving problems.

Learning Outcomes

After completing this module, students will be expected to be able to:

1. Describe the concept of the spectrum of a signal
2. Find Fourier and Laplace transforms of simple time functions.
3. Find inverse Laplace transforms using partial fractions.
4. Calculate probabilities and conditional probabilities in simple examples.
5. Evaluate statistics such as mean and variance for a distribution.
6. Use a variety of distributions (uniform, binomial, Poisson, geometric,
exponential, Gaussian) to model random phenomena.
7. Apply quadrature rules to estimate an integral numerically.


Outline Syllabus

. Integral transforms:
the complex exponential form for Fourier series
the Fourier and Laplace transforms
application to simple waveforms
properties (linearity, scaling, time-shift, frequency shift, derivatives and integrals)
application to second order systems
poles and zeros
visualisation with Matlab

. Probability:
the space of outcomes
events and their probabilities of occurrence
random variables, mean and variance
example of discrete distributions: uniform, binomial, conditional probabilites and independence Poisson, geometric
Example of continuous distributions: exponential Gaussian
the concept of a stochastic process
reliability
simulation with Matlab

Module aims

No information available.

Module learning outcomes

No information available.

Module information

STUDENTS SHOULD NOTE THAT THIS MODULE INFORMATION IS SUBJECT TO REVIEW AND CHANGE.

Learning and teaching methods

Lectures, Labs and Classes

Bibliography

(none)

Assessment items, weightings and deadlines

Coursework / exam Description Deadline Coursework weighting
Coursework   Progress Test 2    17.5% 
Coursework   Progress Test 3     15% 
Coursework   Matlab laboratory (oral/logbook assessment)    50% 
Written Exam  Progress Test 1     17.5% 
Exam  Main exam: 120 minutes during Summer (Main Period) 

Exam format definitions

  • Remote, open book: Your exam will take place remotely via an online learning platform. You may refer to any physical or electronic materials during the exam.
  • In-person, open book: Your exam will take place on campus under invigilation. You may refer to any physical materials such as paper study notes or a textbook during the exam. Electronic devices may not be used in the exam.
  • In-person, open book (restricted): The exam will take place on campus under invigilation. You may refer only to specific physical materials such as a named textbook during the exam. Permitted materials will be specified by your department. Electronic devices may not be used in the exam.
  • In-person, closed book: The exam will take place on campus under invigilation. You may not refer to any physical materials or electronic devices during the exam. There may be times when a paper dictionary, for example, may be permitted in an otherwise closed book exam. Any exceptions will be specified by your department.

Your department will provide further guidance before your exams.

Overall assessment

Coursework Exam
40% 60%

Reassessment

Coursework Exam
0% 0%
Module supervisor and teaching staff
Dr Nigel Newton
CSEE School Office, email: csee-schooloffice (non-Essex users should add @essex.ac.uk to create full e-mail address), Telephone 01206 872770

 

Availability
No
No
No

External examiner

Dr Tahmina Ajmal
University of Bedfordshire
Senior Lecturer
Resources
Available via Moodle
Of 50 hours, 33 (66%) hours available to students:
17 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).

 

Further information

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