MATH3024 Complex Systems

Credit
6 points
Offering
(see Timetable)

If this unit does not have an online alternative, then students who are presently unable to enter Western Australia and whose studies would be delayed by an inability to complete this unit, should contact the unit coordinator (details given on this page) to ascertain, on an individual case-by-case basis, if alternate arrangements can be made to support their study in this unit.

AvailabilityLocationMode
Semester 2UWA (Perth)Face to face Predominantly face-to-face. On campus attendance required to complete this unit. May have accompanying resources online.
Details for undergraduate courses
  • Level 3 option in the Mathematics and Statistics major sequence
  • 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 David Walker
Unit rules
Prerequisites:
MATH2021 Introduction to Applied Mathematics
Contact hours
lectures: 3 hours per week; workshops: 1 hour per week
  • The availability of units in Semester 1, 2, etc. was correct at the time of publication but may be subject to change.
  • All students are responsible for identifying when they need assistance to improve their academic learning, research, English language and numeracy skills; seeking out the services and resources available to help them; and applying what they learn. Students are encouraged to register for free online support through GETSmart; to help themselves to the extensive range of resources on UWA's STUDYSmarter website; and to participate in WRITESmart and (ma+hs)Smart drop-ins and workshops.
  • Unit readings, including any essential textbooks, are listed in the unit outline for each unit, one week prior the commencement of study. The unit outline will be available via the LMS and the UWA Handbook one week prior the commencement of study. Reading lists and essential textbooks are subject to change each semester. Information on essential textbooks will also be made available on the Essential Textbooks. This website is updated regularly in the lead up to semester so content may change. It is recommended that students purchase essential textbooks for convenience due to the frequency with which they will be required during the unit. A limited number of textbooks will be made available from the Library in print and will also be made available online wherever possible. Essential textbooks can be purchased from the commercial vendors to secure the best deal. The Student Guild can provide assistance on where to purchase books if required. Books can be purchased second hand at the Guild Secondhand bookshop (second floor, Guild Village), which is located on campus.