CE267-5-AP-NW:
Engineering Mathematics
2023/24
Computer Science and Electronic Engineering (School of)
Northwest University
Autumn & Spring
Undergraduate: Level 5
Current
Thursday 05 October 2023
Friday 22 March 2024
15
14 March 2024
Requisites for this module
(none)
(none)
(none)
(none)
(none)
BSC H60E Electronic System Engineering,
BSC H60ECO Electronic System Engineering
The module develops key mathematical skills that can be applied throughout Engineering. Subjects include integral transform and probability theory, developed in the context of concrete engineering problems in signal processing, circuit theory, reliability, and communication networks. The module will be exemplified using MATLAB.
The module aims to introduce a number of concepts including: the spectrum of a signal; Fourier and Laplace transforms; linear algebra; simple probabilities; statistics and a variety of distributions.
By the end of this module, students will be expected to be able to:
- Describe the concept of the spectrum of a signal.
- Find Fourier and Laplace transforms of simple time functions.
- Find inverse Laplace transforms using partial fractions.
- Calculate probabilities and conditional probabilities in simple examples.
- Evaluate statistics such as mean and variance for a distribution.
- Use a variety of distributions (uniform, binomial, Poisson, geometric, exponential, Gaussian) to model random phenomena.
- Calculate determinant and use simple matrix operations.
Outline Syllabus
Integral transforms:
The complex exponential form for Fourier series.
Fourier and Laplace transforms, and their application to simple waveforms. Properties: (linearity, scaling, time-shift, frequency shift, derivatives and integrals).
Application to first and second order circuits and systems.
Poles and zeros. Inverse transforms. Integral methods and partial fractions.
Effects of feedback. Visualisation with Matlab.
Probability and Linear algebra:
Outcomes, sample spaces and events. Relative frequencies and probabilities.
Conditional probabilites and independence.
Random variables, mean and variance. Discrete distributions: uniform, binomial Poisson and geometric. Continuous distributions: exponential and Gaussian. The concept of a stochastic process. Reliability.
Determinant and matrix operation.
Simulation with Matlab.
Lectures, Labs and Classes
This module does not appear to have a published bibliography for this year.
Assessment items, weightings and deadlines
| Coursework / exam |
Description |
Deadline |
Coursework weighting |
| Coursework |
Engineering Mathematics Coursework |
|
100% |
| Exam |
Main exam: In-Person, Open Book (Restricted), 120 minutes during Summer (Main Period)
|
| Exam |
Reassessment Main exam: In-Person, Open Book (Restricted), 120 minutes during September (Reassessment 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
No
No
No
Dr Wai Chung Tang
Queen Mary University of London
Senior Lecturer
Available via Moodle
No lecture recording information available for this module.
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