University Course Planner The University of Adelaide Australia

APP MTH 3014 - Optimisation III

Career: Undergraduate
Units: 3
Term: 3410
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Study Abroad and Exchange: Yes
Available for Non-Award Study: Yes
Pre-Requisite: MATHS 1012
Assumed Knowledge: Knowledge of linear programming such as would be obtained from APP MTH 2105 and basic computer programming skills such as would be obtained from ENG 1002, 1003, COMP SCI 1012, 1101, MECH ENG 1100, 1102, 1103, 1104, 1105, C&ENVENG 1012
Assessment: Ongoing assessment, exam

Most problems in life are optimisation problems: what is the best design for a racing kayak? How do you get the best return on your investments? What is the best use of your time in swot vac? What is the shortest route across town for an emergency vehicle? What are the optimal release rates from a dam for environmental flows in a river? Mathematical formulations of such optimisation problems might contain one or many independent variables. There may or may not be constraints on those variables. However, there is always an objective: minimise or maximise some function of the variable(s) subject to the constraints. This course examines nonlinear mathematical formulations, and concentrates on convex optimisation problems. Many modern optimisation methods in areas such as design of communication networks and finance rely on the classical underpinnings covered in this course. Topics covered are: One-dimensional (line) searches, direct methods, polynomial approximation, methods for differentiable functions; Theory of convex and nonconvex functions relevant to optimisation; Multivariable unconstrained optimisation, quasi-Newton Method, steepest descent methods, conjugate gradient methods; Constrained optimisation, including Karush-Kuhn-Tucker conditions and the Gradient Projection Method; Heuristics for non-convex problems, genetic algorithms.

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Commonwealth supported
Full fee paying

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Postgraduate Coursework
Non Award

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Course Outline

A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here

Critical Dates

Term Last Day to Add Online Census Date Last Day to WNF Last Day to WF
3410 Mon 17/03/2014 Mon 31/03/2014 Fri 09/05/2014 Fri 13/06/2014

Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
13897 LE01 45 18 4 Mar - 8 Apr Tuesday 4pm - 5pm Ingkarni Wardli, B21, Teaching Suite
5 Mar - 9 Apr Wednesday 4pm - 5pm Ingkarni Wardli, B21, Teaching Suite
7 Mar - 11 Apr Friday 4pm - 5pm Ingkarni Wardli, B21, Teaching Suite
29 Apr - 10 Jun Tuesday 4pm - 5pm Ingkarni Wardli, B21, Teaching Suite
30 Apr - 11 Jun Wednesday 4pm - 5pm Ingkarni Wardli, B21, Teaching Suite
2 May - 13 Jun Friday 4pm - 5pm Ingkarni Wardli, B21, Teaching Suite