CE142-4-FY-CO:
Mathematics for Engineers

The details
2019/20
Computer Science and Electronic Engineering (School of)
Colchester Campus
Full Year
Undergraduate: Level 4
Current
Thursday 03 October 2019
Friday 26 June 2020
15
02 July 2019

 

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

 

CE262, 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),
MENGH642 Communications Engineering,
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),
BENGH730 Mechatronic Systems,
BENGH731 Mechatronic Systems (Including Year Abroad),
BENGH732 Mechatronic Systems (Including Placement Year)

Module description

This module will introduce engineering mathematics to students, including a number of special functions: trigonometric, lorgarithmic and exponential. It will explain the operations of differentiation and integration. Complex number operations are demonstrated along with complex routes of polynomials. Students will also learn to perform basic operations with vectors and matrices and find the Fourier series of aa given period function, and explain the concept of a spectrum.

Module aims

The aim of this module is to introduce engineering mathematics to students of electronic engineering and telecommunications. The course will be illuminated by lectures, practical laboratory sessions and assignments in MATLAB.

Module learning outcomes

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

1.Recognise, and perform routine calculations with a number of special functions, including trigonometric, logarithmic and exponential functions.

2. Define and explain the operations of differentiation and integration, and use appropriate rules to find derivatives and integrals.

3. Execute basic operations with vectors (including products of vectors) and matrices (+, -, x, determinants, inverse), and solve systems of linear equations via matrices.

4. Execute basic operations with complex numbers (+, -, x, /, *), and convert between Cartesian and polar forms. Find roots of polynomials (real and complex).

5. Find the Fourier series of a given periodic function, and explain the concept of the spectrum of a periodic function.

Module information

Outline Syllabus

1. Special Functions
Polynomial, trigonometric, logarithmic and exponential functions
Powers and Logatithms; The inverse operations; Rules of logarithms
Right-angle triangles,;The quadratic function; Symmetry of functions and their graphs
Visualisation with MATLAB

2. Differentiation
The derivative function
Some comon derivativesFinding the derivative of combinations of functionsApplications of differentiation
Visualisation with MATLAB

3. Integration
The integral as the area under a graph
Finding integralsApplications of integrationnumerical methods of integrationNumerical integration with MATLAB

4. Vectors and Matrices
Vectors and vector quantities;
Basic vectors; Products of vectors;
Vector calculation (addition, substraction and multiplication)
Matrix calculations (addition, subtraction and multiplication)
The matrix form of a set of linear equations
Determinants and inversion of 2x2 matrices
Visualisation with MATLAB

5. Complex Numbers
The square-root of negative numbers, and the number j
Cartesian representation of complex numbers: addition, subtraction, multiplication and division;
Complex numbers and operations
Polar representation: multiplication and division, conversion between forms
Applications to A.C. Linear circuits
Complex arithmetic with MATLAB

6. Fourier Series
Periodic functions obtained by adding sinusoids
Sine and cosine seriesThe Fourier series of symmetric periodic functionsAmplitude and phase representation of a Fourier seriesComputation and visualisation of Fourier series with MATLAB

Learning and teaching methods

Classes (20 hours) and Labs (20 hours)

Bibliography

  • Croft, Tony; Davison, Robert. (2015) Mathematics for Engineers: Pearson Education.
  • Attenborough, Mary. (2003) Mathematics for Electrical Engineering and Computing: Elsevier Science & Technology.

The above list is indicative of the essential reading for the course. The library makes provision for all reading list items, with digital provision where possible, and these resources are shared between students. Further reading can be obtained from this module's reading list.

Assessment items, weightings and deadlines

Coursework / exam Description Deadline Weighting
Coursework Progress Test 1 - Week 17 30%
Coursework Progress Test 2 - Week 25 30%
Coursework Lab Test 1 - Week 9 29/11/2019 30%
Coursework Lab Test 2 - Week 17 24/01/2020 10%
Coursework Lab Test 3 - Week 21 21/02/2020 10%
Coursework Lab Test 4 - Week 25 20/03/2020 10%
Exam 120 minutes during Summer (Main Period) (Main)

Overall assessment

Coursework Exam
50% 50%

Reassessment

Coursework Exam
50% 50%
Module supervisor and teaching staff
Dr Serafeim Perdikis
School Office, email: csee-schooloffice (non-Essex users should add @essex.ac.uk to create full e-mail address), Telephone 01206 872770

 

Availability
Yes
No
No

External examiner

No external examiner information available for this module.
Resources
Available via Moodle
Of 44 hours, 20 (45.5%) hours available to students:
24 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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