
A basic undergraduate-level background in engineering mathematics and computational techniques is assumed (such as culminates at UQ in ELEC3002). In particular, it is assumed that the student has a basic understanding of linear algebra, probability & statistics and optimisation, on which the more advanced material in this course will build.
The course aims to give students the computational tools and theory needed for postgraduate-level study of engineering. Topics to be covered in the course will be drawn from the following:
Computation of matrix and vector norms, inverses, Gaussian elimination, pivoting, sensitivity, condition number, generalised inverses (Moore-Penrose), idempotent matrices, solution of matrix equations, projection matrices, determinants, cofactors, banded, circulant, Vandermonde & Toeplitz matrices, definiteness, Givens rotations, computation of decompositions (Cholesky, LQ/QR, singular value, eigenvalues/eigenvectors), matrix differentiation.
Continuous- and discrete-time stochastic processes, stationarity, autocorrelation and power spectral density, applications (random walks, point processes, shot noise, cyclostationary processes, bandlimited processes), Fourier series and Karhunen-Loève expansions, ergodicity, estimation, filtering and prediction, Kalman filters, Markov chains, Markov processes, queuing theory.
Linear programming (simplex algorithm, Karmakar's method), unconstrained optimisation (gradient descent, Newton and quasi-Newton's method, conjugate gradient, Levenberg-Marguardt), convex optimisation (Lagrange multipliers, KKT conditions), stochastic and heuristic optimization (random search, simulated annealing, evolutionary algorithms, metaheuristics).
MATLAB as an engineering tool, applications to telecommunications, biomedical engineering, embedded systems, electricity market and other fields of engineering as appropriate.
Mondays at 2pm in Weeks 1-6 and 13, but directly after lectures is also good.
The course aims to give students the computational tools and theory needed for postgraduate-level study of engineering. Specifically, the aim is ensure the student has excellent skills in MATLAB for numerical implementation of advanced methods in optimisation, stochastic processes and linear algebra.
| GRADUATE ATTRIBUTE | LEARNING OBJECTIVES |
| A. IN-DEPTH KNOWLEDGE OF THE FIELD OF STUDY | |
| A2. A broad understanding of the field of study, including how other disciplines relate to the field of study. | 1 |
| A3. A comprehensive and in-depth knowledge in the field of study. | 2, 3, 4 |
| A5. An international perspective on the field of study. | |
| A7. An appreciation of the link between theory and practice. | |
| B. EFFECTIVE COMMUNICATION | |
| B1. The ability to collect, analyse and organise information and ideas and to convey those ideas clearly and fluently, in both written and spoken forms. | 3 |
| B2. The ability to interact effectively with others in order to work towards a common outcome. | |
| B3. The ability to select and use the appropriate level, style and means of communication. | 3 |
| B4. The ability to engage effectively and appropriately with information and communication technologies. | 4 |
| B5. The ability to practise as part of an interdisciplinary team. | |
| C. INDEPENDENCE AND CREATIVITY | |
| C2. The ability to work and learn independently and effectively. | 2 |
| C3. The ability to generate ideas and adapt innovatively to changing environments. | |
| C5. The ability to formulate and investigate problems, create solutions, innovate and improve current practices. | 1 |
| C6. The abilities and skills that provide a foundation for future leadership roles. | |
| D. CRITICAL JUDGEMENT | |
| D2. The ability to apply critical reasoning to issues through independent thought and informed judgement. | 4 |
| D4. The ability to process material and to critically analyse and integrate information from a wide range of sources. | 1 |
| D5. The ability to evaluate opinions, make decisions and to reflect critically on the justifications for decisions using an evidence-based approach. | |
| E. ETHICAL AND SOCIAL UNDERSTANDING | |
| E1. An understanding of social and civic responsibility. | |
| E3. An appreciation of the philosophical and social contexts of a discipline. | |
| E4. A knowledge and respect of ethics and ethical standards in relation to a major area of study. | |
| E5. A knowledge of other cultures and times and an appreciation of cultural diversity. | |
| E7. The ability to work effectively and sensitively across all areas of society. | |
| E8. An understanding of and respect for the roles and expertise of associated disciplines. | |
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Late submission of the assignment will result in a penalty of 10% per day. Submissions more than 5 days late will not be accepted. A late submission should be made to the School Office, not the submission boxes.
No extensions will be granted except in exceptional personal circumstances (documented medical reason or family emergency). Personal hardware or computer failures are not grounds for extension.
There will be three assignments, due at four-weekly intervals from the end of Week 5. The assignments will be designed to develop skills in problem solving based on the theory presented in lectures, often using MATLAB.
The assignments will be marked using a scheme based on the following criteria:
This multiple-choice test will cover material from Weeks 1-5. It will be held durial the tutorial session in Week 6.
Full marks will be awarded for correct answers, no marks otherwise.
This multiple-choice test will cover material from Weeks 6-9. It will be held durial the tutorial session in Week 10.
Full marks will be awarded for correct answers, no marks otherwise.
The assignments will be marked using a scheme based on the following criteria:
The assignments will be marked using a scheme based on the following criteria:
The end of semester exam will be based on material presented/covered throughout the semester, but with an emphasis on the material in Weeks 10-13. The questions will involve problem solving.
The exam will be three hours in duration and will be held during the final examination period. This exam will be closed-book and will contain short-answer, and problem solving questions. You may also bring a battery-operated non-programmable calculator. Programmable calculators and other computing or communication devices are not permitted.
Note: Assessment variation is possible for students with a disability.
Note: Students may request the use of dictionaries, including bilingual dictionaries, supplied by Examinations Section.
Broadly speaking, the criteria used for marking the final exam are, according to the type of question asked, as follows:
An overview of the University’s assessment-related policies can be found on myAdvisor (http://www.uq.edu.au/myadvisor/index.html?page=2910).
Academic Integrity
It is the University's task to encourage ethical scholarship and to inform students and staff about the institutional standards of academic behaviour expected of them in learning, teaching and research. Students have a responsibility to maintain the highest standards of academic integrity in their work. Students must not cheat in examinations or other forms of assessment and must ensure they do not plagiarise.
Plagiarism
The University has adopted the following definition of plagiarism:
Plagiarism is the act of misrepresenting as one's own original work the ideas, interpretations, words or creative works of another. These include published and unpublished documents, designs, music, sounds, images, photographs, computer codes and ideas gained through working in a group. These ideas, interpretations, words or works may be found in print and/or electronic media.
Students are encouraged to read the UQ Academic Integrity and Plagiarism policy (http://www.uq.edu.au/hupp/index.html?page=25128) which makes a comprehensive statement about the University's approach to plagiarism, including the approved use of plagiarism detection software, the consequences of plagiarism and the principles associated with preventing plagiarism.
As a student you have a responsibility to incorporate feedback into your learning; make use of the assessment criteria that you are given; be aware of the rules, policies and other documents related to assessment; and provide teachers with feedback on their assessment practices.
There are certain steps you can take if you feel your result does not reflect your performance. Please refer to the myAdvisor web site. (http://www.uq.edu.au/myadvisor/index.html?page=2953)Further to the statement on academic integrity and plagiarism above, students are required to read and understand the ITEE policy on Student Misconduct (http://www.itee.uq.edu.au/about_ITEE/policies/student-misconduct.html).
The policy and procedure for late arrival or non-attendance at centrally controlled and school-based examinations is set out in the University's Assessment policy (HUPP 3.30.1), section 4.8 at http://www.uq.edu.au/hupp/index.html?page=25109.
Where an adjustment is made to an accredited program, it is the responsibility of the relevant Faculty to liaise with professional and registration bodies regarding the acceptability of the change/s.
Below is a table showing the relationship between the learning objectives for this course and the broader graduate attributes developed, the learning activities used to develop each objective and the assessment task used to assess each objective.
| Learning Objectives | ||||
| 1 | 2 | 3 | 4 | |
| Learning Activities | ||||
| Introduction (Lecture) | ||||
| Fundamentals of numerical linear algebra (Lecture Series) |
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| Matrix factorisations and decompositions (Lecture Series) |
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| Matrix factorisations and decompositions (Lecture Series) |
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| Matrix inverses and pseudo-inverses (Lecture Series) |
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| Matrix inverses and pseudo-inverses (Lecture Series) |
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| Special linear systems (Lecture Series) |
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| Special linear systems (Lecture Series) |
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| Stochastic processes (Lecture Series) |
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| Stochastic processes (Lecture Series) |
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| Stochastic processes (Lecture Series) |
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| Stochastic processes (Lecture Series) |
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| Estimation & filtering (Lecture Series) |
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| Estimation & filtering (Lecture Series) |
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| Markov chains (Lecture Series) |
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| Markov chains (Lecture Series) |
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| Optimisation (Lecture Series) |
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| Optimisation (Lecture Series) |
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| Optimisation (Lecture Series) |
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| Optimization (Lecture Series) |
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| Stochastic optimisation and Metaheuristics (Lecture Series) |
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| Stochastic optimisation and Metaheuristics (Lecture Series) |
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| Stochastic optimisation and Metaheuristics (Lecture Series) |
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| Stochastic optimisation and Metaheuristics (Lecture Series) |
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| Course Review (Lecture Series) |
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| Exam Preview (Lecture) | ||||
| Assessment Tasks | ||||
| Assignment 1 |
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| Class Test |
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| Mid-semester exam |
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| Assignment 2 |
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| Assignment 3 |
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| Final exam |
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| Learning Objectives | ||||
| 1 | 2 | 3 | 4 | |
| Graduate Attributes | ||||
| A IN-DEPTH KNOWLEDGE OF THE FIELD OF STUDY | ||||
| A2. A broad understanding of the field of study, including how other disciplines relate to the field of study. |
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| A3. A comprehensive and in-depth knowledge in the field of study. |
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|
| A5. An international perspective on the field of study. | ||||
| A7. An appreciation of the link between theory and practice. | ||||
| B EFFECTIVE COMMUNICATION | ||||
| B1. The ability to collect, analyse and organise information and ideas and to convey those ideas clearly and fluently, in both written and spoken forms. |
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| B2. The ability to interact effectively with others in order to work towards a common outcome. | ||||
| B3. The ability to select and use the appropriate level, style and means of communication. |
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| B4. The ability to engage effectively and appropriately with information and communication technologies. |
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|||
| B5. The ability to practise as part of an interdisciplinary team. | ||||
| C INDEPENDENCE AND CREATIVITY | ||||
| C2. The ability to work and learn independently and effectively. |
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| C3. The ability to generate ideas and adapt innovatively to changing environments. | ||||
| C5. The ability to formulate and investigate problems, create solutions, innovate and improve current practices. |
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| C6. The abilities and skills that provide a foundation for future leadership roles. | ||||
| D CRITICAL JUDGEMENT | ||||
| D2. The ability to apply critical reasoning to issues through independent thought and informed judgement. |
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|||
| D4. The ability to process material and to critically analyse and integrate information from a wide range of sources. |
![]() |
|||
| D5. The ability to evaluate opinions, make decisions and to reflect critically on the justifications for decisions using an evidence-based approach. | ||||
| E ETHICAL AND SOCIAL UNDERSTANDING | ||||
| E1. An understanding of social and civic responsibility. | ||||
| E3. An appreciation of the philosophical and social contexts of a discipline. | ||||
| E4. A knowledge and respect of ethics and ethical standards in relation to a major area of study. | ||||
| E5. A knowledge of other cultures and times and an appreciation of cultural diversity. | ||||
| E7. The ability to work effectively and sensitively across all areas of society. | ||||
| E8. An understanding of and respect for the roles and expertise of associated disciplines. | ||||
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Authorised by: Deputy Vice-Chancellor (Academic) Maintained by: Software Services Last Updated - 24 May , 2006 |