University Course Planner The University of Adelaide Australia

APP MTH 3014 - Optimisation III

Career: Undergraduate
Units: 3
Term: 3910
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.

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Units
EFTSL
Amount
3
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
3910 Mon 18/03/2019 Sun 31/03/2019 Fri 10/05/2019 Fri 14/06/2019


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
14061 LE01 45 7 4 Mar - 8 Apr Monday 10am - 11am Benham, G10, Benham Lecture Theatre
6 Mar - 10 Apr Wednesday 10am - 11am Barr Smith South, 534, Forum Lecture Theatre
8 Mar - 12 Apr Friday 11am - 12pm Napier, 209, Lecture Theatre
29 Apr - 10 Jun Monday 10am - 11am Benham, G10, Benham Lecture Theatre
1 May - 12 Jun Wednesday 10am - 11am Barr Smith South, 534, Forum Lecture Theatre
3 May - 14 Jun Friday 11am - 12pm Napier, 209, Lecture Theatre