University Course Planner The University of Adelaide Australia

APP MTH 3014 - Optimisation III

Career: Undergraduate
Units: 3
Term: Semester 1
Campus: North Terrace
Contact: Up to 3 hours per week
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 COMP SCI 1012, 1101, MECH ENG 1100, 1102, 1103, 1104, 1105, C&ENVENG 1012
Assessment: Ongoing assessment 30%, exam 70%
Syllabus:

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. There is always, though, an objective: minimise or maximise some function of the variable(s), subject to the constraints. This course will examine nonlinear mathematical formulations, and will concentrate on convex optimisation problems. Many modern optimisation methods in areas such as design of communication networks, finance, etc, 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, in particular, higher-order Newton's Method, steepest descent methods, conjugate gradient methods; Constrained optimisation, including Kuhn-Tucker conditions and the Gradient Projection Method.

Course Fees

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  Commonwealth Supported Student Contribution
Tuition Fees
Units EFTSL Pre-2010 2010 Onwards Domestic International
3 0.125 Band 2 $1,131 Band 2 $1,131 select program select program


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
Semester 1 Mon 13/03/2017 Fri 31/03/2017 Fri 05/05/2017 Fri 09/06/2017


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
13912 LE01 50 3 27 Feb - 3 Apr Monday 9am - 10am Engineering Sth, S111, Teaching Room
2 Mar - 6 Apr Thursday 5pm - 6pm Barr Smith South, 3022, Polygon Lecture Theatre
3 Mar - 7 Apr Friday 3pm - 4pm Ligertwood, 231, Lecture Theatre
24 Apr - 5 Jun Monday 9am - 10am Engineering Sth, S111, Teaching Room
27 Apr - 8 Jun Thursday 5pm - 6pm Barr Smith South, 3022, Polygon Lecture Theatre
28 Apr - 9 Jun Friday 3pm - 4pm Ligertwood, 231, Lecture Theatre
Related Class: Tutorial
Class Nbr Section Size Available Dates Days Time Location
15384 TU01 50 3 7 Mar - 7 Mar Tuesday 11am - 12pm Napier, G03, Lecture Theatre
21 Mar - 21 Mar Tuesday 11am - 12pm Napier, G03, Lecture Theatre
4 Apr - 4 Apr Tuesday 11am - 12pm Napier, G03, Lecture Theatre
2 May - 2 May Tuesday 11am - 12pm Napier, G03, Lecture Theatre
16 May - 16 May Tuesday 11am - 12pm Napier, G03, Lecture Theatre
30 May - 30 May Tuesday 11am - 12pm Napier, G03, Lecture Theatre