Applied Mathematics
MP305: Modelling I (5 ECTS)
This course introduces the student to modelling techniques for four different real-world problems. The problems cover the topics network-flow optimisation, activity networks, traffic flow and game theory.
Taught in Semester(s) I. Examined in Semester(s) I.
Workload: 44 hours (24 Lecture hours, 20 Lab hours).
Module Learning Outcomes.
On successful completion of this module the learner should be able to:
- Set up and solve basic network flow problems.
- Set up and solve basic activity network problems.
- Derive the partial differential equations (PDEs) used for the analysis of basic traffic flow.
- Use the method of characheteristics to solve some basic PDEs with and without discontinuities.
- Describe what a matrix game is.
- Analyse any 2 by N matrix game and find the optimal game.
- Be able to use the software Maple in to analyse problems from the topics taught in the course.
Indicative Content
This is a course on mathematical modelling of some real-world systems. The topics covered include:
- Network flow models.
- Activity networks.
- Traffic flow.
- Game theory.
Module Resources
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