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  3. Introduction to Optimisation

Introduction to Optimisation (ELEN90026)

Graduate courseworkPoints: 12.5On Campus (Parkville)

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Overview

Availability
Semester 2 - On Campus
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AIMS

This subject provides a rigorous introduction to numerical nonlinear optimization, as used across all of science and particularly in engineering design. There is an emphasis on both the theory and application of optimization techniques, with a focus on solving unconstrained and constrained nonlinear programmes. This subject is intended for graduate and research higher-degree students in engineering.

INDICATIVE CONTENT

Topics include:

  • Algorithms for unconstrained optimization
  • Algorithms for constrained optimization
  • Convex sets and functions
  • Convex optimization problems
  • Duality theory
  • Computational complexity
  • Approximation algorithms and penalty methods.

Intended learning outcomes

Having completed this subject it is expected that the student be able to:

  • Apply numerical linear algebra and real analysis within the context of optimization problems
  • Formulate and solve engineering problems via nonlinear optimisation methods
  • Apply computational tools to solve standard unconstrained and constrained optimization problems.

Generic skills

On completion of this subject, students will have developed the following skills:

  • ability to identify, analyse, and develop innovative solutions to complex and open-ended problems, considering various constraints and requirements. 
  • capacity for independent critical thought, rational assessment and self-directed learning; 
  • ability to communicate and work effectively with teams; 
  • capability to clearly articulate technical information, ideas, and solutions to both technical and non-technical audiences, through oral presentations, written reports, and other media;
  • ability to articulate and uphold ethical standards and professional responsibilities, including honesty, accountability, and respect for others;
  • ability to lead teams, motivate colleagues, and make strategic decisions, while also demonstrating initiative and accountability in individual roles

 

Last updated: 16 February 2026