Adv Topics in Engineering Mathematics

This subject is not offered in 2014.

200 hours

Enrolment in a research higher degree (Masters or PhD) in Engineering

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For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements of this entry. The University is dedicated to provide support to those with special requirements. Further details on the disability support scheme can be found at the Disability Liaison Unit website: http://www.services.unimelb.edu.au/disability/

AIMS

This subject is intended to give students a rigorous introduction to a selection of foundational mathematical tools and techniques commonly employed in electrical, electronic and systems engineering.

INDICATIVE CONTENT

The course content will include a selection of topics from:

• optimisation;
• graph theory and combinatorics;
• probability theory;
• measure theory;
• functional analysis; and
• basic topology and geometry.

Intended Learning Outcomes (ILO )

On completion of this subject, the student should have:

1. the ability to formulate a range of practical engineering problems in an appropriate mathematical framework;
2. the ability to apply standard results from optimisation theory, probability theory and/or functional analysis to solve a range of relevant problems;
3. an understanding of the usefulness of mathematics, and the importance of rigour.

The assessment will consist of:

• continuous assessment, consisting of written homework assignments and/or project work or presentations, to be completed during the semester and not exceeding 30 pages in total, worth 40% (addressing ILOs 1-3);
• a written examination, not exceeding 3 hours, at the end of semester, worth 60% (addressing ILOs 1-3).

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This subject is not available as a breadth subject.

• Ability to apply knowledge of basic science and engineering fundamentals;
• In-depth technical competence in at least one engineering discipline;
• Ability to undertake problem identification, formulation and solution;
• Ability to utilise a systems approach to design and operational performance;
• Expectation of the need to undertake lifelong learning, capacity to do so;
• Capacity for independent critical thought, rational inquiry and self-directed learning;
• Intellectual curiosity and creativity, including understanding of the philosophical and methodological bases of research activity;
• Openness to new ideas and unconventional critiques of received wisdom;
• Profound respect for truth and intellectual integrity, and for the ethics of scholarship

LEARNING AND TEACHING METHODS

This subject is delivered through lectures and homework assignments.

INDICATIVE KEY LEARNING RESOURCES

Students are provided with lecture notes, including worked examples, assignment problems, and recommended reading lists comprising textbooks and journal articles.

CAREERS / INDUSTRY LINKS

Exposure to research literature and the rigour expected at the level of postgraduate study.