CE142-4-AP-CA:
Mathematics for Engineers
2020/21
Computer Science and Electronic Engineering (School of)
Colchester Campus & Apprenticeship Location
Autumn & Spring
Undergraduate: Level 4
Current
Thursday 08 October 2020
Friday 26 March 2021
15
29 July 2020
Requisites for this module
(none)
(none)
(none)
(none)
CE262, CE269
BENGH610DA Electronic Engineering
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.
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.
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.
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
Classes (20 hours) and Labs (20 hours)
- Attenborough, Mary. (2003) Mathematics for Electrical Engineering and Computing: Elsevier Science & Technology.
- Croft, Tony; Davison, Robert. (2019-02-05) Mathematics for Engineers, Harlow: Pearson Education Limited.
- Attaway, Stormy. (2018) MATLAB : a practical introduction to programming and problem solving, Woburn: Elsevier - Health Sciences Division.
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 |
Coursework weighting |
| Coursework |
Progress Test 1 - Week 11 |
|
5% |
| Coursework |
Progress Test 2 - Week 24 |
|
5% |
| Coursework |
Oral Interview |
|
40% |
| Coursework |
Lab Test 1 - Week 8 |
|
10% |
| Coursework |
Lab Test 2 - Week 17 |
|
10% |
| Coursework |
Lab Test 3 - Week 21 |
|
10% |
| Coursework |
Lab Test 4 - Week 25 |
|
10% |
| Coursework |
Assignment 1 |
|
10% |
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
Reassessment
Module supervisor and teaching staff
Dr Serafeim Perdikis, email: serafeim.perdikis@essex.ac.uk.
Dr Serafeim Perdikis, Prof Francisco Sepulveda
School Office, email: csee-schooloffice (non-Essex users should add @essex.ac.uk to create full e-mail address), Telephone 01206 872770
No
No
No
No external examiner information available for this module.
Available via Moodle
Of 928 hours, 8 (0.9%) hours available to students:
920 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).
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