| Unit name | Mathematics for Systems |
|---|---|
| Unit code | EMATM0005 |
| Credit points | 10 |
| Level of study | M/7 |
| Teaching block(s) |
Academic Year (weeks 1 - 52) |
| Unit director | Professor. Eddie Wilson |
| Open unit status | Not open |
| Pre-requisites |
None |
| Co-requisites |
None |
| School/department | Department of Engineering Mathematics |
| Faculty | Faculty of Engineering |
This unit will give an introduction to some topics in modern applied mathematics, which are applicable to systems engineering methods. The teaching will be delivered in one week, with different topics each day. Typical titles of the topics are: Complex Networks; Information from Data; Optimisation and Linear Programming; Handling Uncertainty; Nonlinear Dynamics.
To acquaint students with modern applied mathematics topics, which build upon and span beyond material traditionally taught to undergraduate engineers. The style of the course will be one of raising broad awareness of the mathematical tools that are available, rather than traditional didactic teaching in narrow topics.
At the end of this course, students will: 1. be comfortable with the Matlab interface and basic programming constructs; and be able to apply Matlab to solve basic problems in simulation and in data analysis. 2. be able to identify the hallmarks of real-world nonlinear behaviour, and be able to re-count and apply some of the basic mathematical terminology and results (e.g. bifurcations) 3. be able to phrase optimal design problems in mathematical language and be able to identify which of several broad families they apply to, and hence make an informed choice about the solution method; this section will also include use of parameter continuation techniques. 4. understand the difference between data and knowledge and be able to list some standard techniques for extracting the latter from the former, and be able to implement these techniques in Matlab. 5. be able to list real-world case studies in which there are emergent phenomena from many simple interacting subsystems, and be able to investigate this emergence by using simple simulation techniques. 6. have an appreciation of the manifold possibilities in the application of modern applied mathematics to real-world problems.
One week full-time course. Small group interactive lectures plus break-out into discussion groups. Break-out into small computer demo classes. Follow-on support by email contact with postgrads / postdocs.
• Each of the unit's topics will have a short worksheet to be completed within two weeks after the teaching (30% of the overall assessment). • Each of the unit's topics will also have a suggested list of ideas/applications for future study. • Each student will pick one idea/application, investigate it more fully and provide a written report (70% of the overall assessment, the assignment length will be max of 10 pages)
No single text. Prior recommended reading for each of the 5 topics will be sent out at least 6 weeks before the week the unit is run by the lecturers who deliver the material.
