APP MTH 3014 - Optimisation III
Career: | Undergraduate |
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Units: | 3 |
Term: | 4010 |
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: | 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 |
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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4010 | Mon 16/03/2020 | Thu 26/03/2020 | Fri 12/06/2020 | Not Available |
Class Details
Enrolment Class: Lecture | |||||||
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Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
14124 | LE01 | 60 | 17 | 3 Mar - 7 Apr | Tuesday | 4pm - 5pm | Napier, 208, Lecture Theatre |
5 Mar - 9 Apr | Thursday | 1pm - 2pm | Barr Smith South, 3022, Polygon Lecture Theatre | ||||
6 Mar - 10 Apr | Friday | 9am - 10am | Benham, G10, Benham Lecture Theatre | ||||
28 Apr - 9 Jun | Tuesday | 4pm - 5pm | Napier, 208, Lecture Theatre | ||||
30 Apr - 11 Jun | Thursday | 1pm - 2pm | Barr Smith South, 3022, Polygon Lecture Theatre | ||||
1 May - 12 Jun | Friday | 9am - 10am | Benham, G10, Benham Lecture Theatre |