APP MTH 4114 - Optimisation - Honours
Career: | Undergraduate |
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Units: | 3 |
Term: | 4210 |
Campus: | North Terrace |
Contact: | Up to 3 hours per week |
Restriction: | Honours students only |
Available for Study Abroad and Exchange: | Yes |
Available for Non-Award Study: | No |
Pre-Requisite: | MATHS 1012 |
Assumed Knowledge: | Basic computer programming skills such as would be obtained from ENG 1002, ENG 1003, COMP SCI 1012, COMP SCI 1101, MECH ENG 1100, MECH ENG 1102, MECH ENG 1103, MECH ENG 1104, MECH ENG 1105, C&ENVENG 1012 |
Incompatible: | APP MTH 3014 |
Assessment: | Ongoing assessment, exam |
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. 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. |
Course Fees
Study Abroad student tuition fees are available here
Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.
The fees displayed below for international students are for students commencing a program in 2024 only. International students who commenced a program in 2023 or prior can find their fee here.
EFTSL | |||
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0.125 |
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 |
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4210 | Tue 15/03/2022 | Thu 24/03/2022 | Fri 06/05/2022 | Fri 10/06/2022 |
Class Details
Enrolment Class: Workshop | |||||||
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Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
14161 | WR01 | 3 | 3 | 4 Mar - 8 Apr | Friday | 1pm - 2pm | Engineering Sth, S111, Teaching Room |
29 Apr - 3 Jun | Friday | 1pm - 2pm | Engineering Sth, S111, Teaching Room | Note: This class will be delivered both online and face to face. Please refer to MyUni for details once enrolled. | |||
Related Class: Tutorial | |||||||
Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
13073 | TU03 | 1 | 1 | 1 Mar - 5 Apr | Tuesday | 5pm - 6pm | MyUni, OL, Online Class |
26 Apr - 31 May | Tuesday | 5pm - 6pm | MyUni, OL, Online Class | Note: This class is for offshore / interstate students only. Where this requirement is not met, students risk being removed from this class. Please refer to MyUni for details once enrolled. | |||
14157 | TU02 | 1 | 1 | 4 Mar - 8 Apr | Friday | 2pm - 3pm | Engineering & Mathematics, EMG07, Teaching Room |
29 Apr - 3 Jun | Friday | 2pm - 3pm | Engineering & Mathematics, EMG07, Teaching Room | Note: This class is only available for face-to-face (on-campus) students. | |||
14158 | TU01 | 1 | 1 | 1 Mar - 5 Apr | Tuesday | 4pm - 5pm | Engineering & Mathematics, EMG07, Teaching Room |
26 Apr - 31 May | Tuesday | 4pm - 5pm | Engineering & Mathematics, EMG07, Teaching Room | Note: This class is only available for face-to-face (on-campus) students. | |||
Related Class: Lecture | |||||||
Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
19356 | LEC0 | 3 | 3 | This class does not have any timetabled face-to-face sessions. Please check MyUni or contact your Course Coordinator for details. |