Applied Mathematics
MP307: Modelling II (5 ECTS)
This course introduces the student to modelling techniques for three different real-world problem areas. The problems cover the topics queueing theory, population dynamics and control theory.
Taught in Semester(s) II. Examined in Semester(s) II.
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 queueing theory problems.
- Set up and solve basic population dynamics problems.
- Set up and solve basic control theory problems.
- Be able to use the software MAPLE to analyse problems from queueing theory and population dynamics.
Indicative Content
This is a course on mathematical modelling of some real-world systems. The topics covered include:
1) Queueing theory: Markov processes, ergodic systems and nearest-neighbourhood models.
2) Population dynamics: Fibonacci numbers, age-cohort models, Verhulst predator satiation, competetive species, Lotka-Volterra model, Ricker model and the Kermac-McKendrick model.
3) Control theory: stability analysis and pole-placing methods.
Module Resources
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