CE142-4-FY-CO:
Mathematics for Electronics and Telecommunications
2015/16
Computer Science and Electronic Engineering (School of)
Colchester Campus
Full Year
Undergraduate: Level 4
Current
15
-
Requisites for this module
(none)
(none)
(none)
(none)
CE262
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),
BSC H631 Electronics,
BSC H632 Electronics (Including Year Abroad),
BSC H633 Electronics (Including Placement Year)
The aim of this module is to introduce some of engineering mathematics to students of electronic engineering and telecommunications. The course will be illuminated by lectures, practical laboratory sessions and assignments in MATLAB.
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 complex numbers (+, -, x, /, *), and convert between Cartesian and polar forms. Find roots of polynomials (real and complex).
4. Execute basic operations with vectors and matrices (+, -, x, inverse), and solve systems of linear equations via matrices.
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. 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
5. 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
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
No information available.
No information available.
STUDENTS SHOULD NOTE THAT THIS MODULE INFORMATION IS SUBJECT TO REVIEW AND CHANGE.
Lectures (20 hours) and Laboratories (20 hours)
Assessment items, weightings and deadlines
| Coursework / exam |
Description |
Deadline |
Coursework weighting |
| Coursework |
Matlab Lab Test 1 |
|
50% |
| Coursework |
Matlab Lab Test 2 |
|
50% |
| 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
Reassessment
Module supervisor and teaching staff
Professor Huosheng Hu
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
No lecture recording information available for this module.
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