MATH3024 Complex Systems

Credit
6 points
Offering
(see Timetable)
AvailabilityLocationMode
Semester 2UWA (Perth)Face to face
Details for undergraduate courses
  • Level 3 option in the Mathematics and Statistics major sequence
  • The area of knowledge for this unit is Mathematical and Physical Sciences
  • Level 3 elective
Content
This unit seeks to provide a formal framework to understand complex patterns of interaction in science and nature. Examples of such systems include emerging patterns and collective behaviour in flocking birds, structure in communities of friends in online networks, spread of disease among and between communities, and critical state transitions in earthquakes and cardiac arrhythmia. Concepts discussed in this unit include complex networks, networks of dynamical systems, collective behaviour and critical transitions.
Outcomes
Students are able to (1) understand and describe the key signatures of complex systems and their evolution; (2) understand various agent-based paradigms for collective behaviour and explain onset of coherence; (3) characterise and explain pattern formation, synchronisation and chimera states in neworked dynamical systems; and (4) explain and utilise various models of criticality.
Assessment
Indicative assessments in this unit are as follows: (1) in-class tests; (2) semester project; and (3) examination. Further information is available in the unit outline.

Supplementary assessment is not available in this unit except in the case of a bachelor's pass degree student who has obtained a mark of 45 to 49 overall and is currently enrolled in this unit, and it is the only remaining unit that the student must pass in order to complete their course.
Unit Coordinator(s)
Dr Thomas Stemler
Unit rules
Prerequisites:
MATH2021 Introduction to Applied Mathematics
Contact hours
lectures: 3 hours per week; workshops: 1 hour per week
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