MATH4023 Mathematical Optimisation

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
  • Honours option in Mathematics and Statistics [Bachelor of Science (Honours)]
Content
Optimisation is the process of determining the best outcome from a (possibly continuous) set of alternatives and has myriad applications in the real world. Topics may include (1) the fundamental theory that underlies optimisation under constraints; (2) the theory of convexity and its relationship to the Lagrangian and other forms of duality with applications to network and discrete optimisation problems; (3) nonlinear programming—constrained and unconstrained optimisation of continuous functions; (4) optimal control—which is concerned with optimising objectives subject to dynamical systems; (5) the ideas of controllability and reachability; and (6) the Pontryagin Maximum Principle.
Outcomes
Students are able to (1) appropriately apply optimisation techniques to real-world problems and (2) establish and solve the relevant optimisation equations.
Assessment
Indicative assessments in this unit are as follows: (1) assignments and (2) a final examination. Further information is available in the unit outline.

Supplementary assessment is not available in this unit.
Unit Coordinator(s)
Professor Lyle Noakes
Unit rules
Prerequisites:
MATH2021 Introduction to Applied Mathematics
Contact hours
3 hours per week
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