- Class Number 6246
- Term Code 3160
- Class Info
- Unit Value 6 units
- Mode of Delivery In Person
- AsPr Linda Stals
- AsPr Linda Stals
- Class Dates
- Class Start Date 26/07/2021
- Class End Date 29/10/2021
- Census Date 14/09/2021
- Last Date to Enrol 02/08/2021
This course is aimed at students studying in science, engineering or economics who need to understand both the theoretical and practical aspects of the important algorithms and techniques of scientific computing, focussing on the areas of linear algebra. Students are encouraged to apply their learning to a specific research problem of their choosing.
Note: Graduate students attend joint classes with undergraduates but will be assessed separately
Upon successful completion, students will have the knowledge and skills to:
On satisfying the requirements of this course, students will have the knowledge and skills to:
1. Use sophisticated scientific computing and visualization environments to solve application problems involving matrix computation algorithms.
2. Analyze numerical algorithms, and understand the relationships between the computational effort and the accuracy of these algorithms.
3. Interpret the results produced by computer implementations of numerical algorithms.
4. Explain the effects of errors in computation and how such errors affect solutions.
5. Demonstrate the necessary analytical background for further studies leading to research in applied mathematics or related disciplines.
Examination Material or equipment
Information about examination material will be made available through the Examinations timetable
There is no standard text for the course, extensive notes will be handed out. The notes are based on Numerical Linear Algebra by Lloyd N. Trefethen and David Bau III (SIAM , 1997).
Recommended student system requirements
ANU courses commonly use a number of online resources and activities including:
- video material, similar to YouTube, for lectures and other instruction
- two-way video conferencing for interactive learning
- email and other messaging tools for communication
- interactive web apps for formative and collaborative activities
- print and photo/scan for handwritten work
- home-based assessment.
To fully participate in ANU learning, students need:
- A computer or laptop. Mobile devices may work well but in some situations a computer/laptop may be more appropriate.
- Speakers and a microphone (e.g. headset)
- Reliable, stable internet connection. Broadband recommended. If using a mobile network or wi-fi then check performance is adequate.
- Suitable location with minimal interruptions and adequate privacy for classes and assessments.
- Printing, and photo/scanning equipment
For more information please see https://www.anu.edu.au/students/systems/recommended-student-system-requirements
Students will be given feedback in the following forms in this course:
- Written comments on the assignments.
- Problem discussion in workshop exercises.
- Individual feedback may be given during the lecturer office hours.
- Wattle discussion boards.
Student FeedbackANU is committed to the demonstration of educational excellence and regularly seeks feedback from students. Students are encouraged to offer feedback directly to their Course Convener or through their College and Course representatives (if applicable). The feedback given in these surveys is anonymous and provides the Colleges, University Education Committee and Academic Board with opportunities to recognise excellent teaching, and opportunities for improvement. The Surveys and Evaluation website provides more information on student surveys at ANU and reports on the feedback provided on ANU courses.
|Week/Session||Summary of Activities||Assessment|
|1||Weeks 1-2 Singular Value Decomposition, Projectors, QR Factorisation.||Feedback is given through written assignments, programming exercises and workshop questions.|
|2||Weeks 3 Floating Point Arithmetic.||Feedback is given through written assignments, programming exercises and workshop questions.|
|3||Weeks 4-6 Linear Least Squares/Stability, Back Substitution, Householder Transformations.||Feedback is given through written assignments, programming exercises and workshop questions.|
|4||Weeks 7-8 Gaussian Elimination, Stability of Gaussian Elimination.||Feedback is given through written assignments, programming exercises and workshop questions.|
|5||Week 9-10 Eigenvalue Problems, Power Methods.||Feedback is given through written assignments, programming exercises and workshop questions.|
|6||Week 11-12 Stationary Methods, Preconditioning.||Feedback is given through written assignments, programming exercises and workshop questions.|
Students are required to enrol in a workshop group by using a Wattle group selection tool.
|Assessment task||Value||Due Date||Return of assessment||Learning Outcomes|
|Project Proposal||5 %||13/08/2021||27/08/2021||1|
* If the Due Date and Return of Assessment date are blank, see the Assessment Tab for specific Assessment Task details
PoliciesANU has educational policies, procedures and guidelines, which are designed to ensure that staff and students are aware of the University’s academic standards, and implement them. Students are expected to have read the Academic Misconduct Rule before the commencement of their course. Other key policies and guidelines include:
Assessment RequirementsThe ANU is using Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. For additional information regarding Turnitin please visit the ANU Online website Students may choose not to submit assessment items through Turnitin. In this instance you will be required to submit, alongside the assessment item itself, hard copies of all references included in the assessment item.
Moderation of AssessmentMarks that are allocated during Semester are to be considered provisional until formalised by the College examiners meeting at the end of each Semester. If appropriate, some moderation of marks might be applied prior to final results being released.
Please note, that where a date range is used in the Assessment Summary in relation to exams, the due date and return date indicate the approximate timeframe in which the exam will be held and results returned to the student (official end of Semester results released on ISIS). Students should consult the course wattle site and the ANU final examination timetable to confirm the date, time and venue of the exam.
Assessment Task 1
Learning Outcomes: 1,2,3,4,5
Five assignments will be handed out fortnightly starting from Week 1. The assignments will usually consist of a written component and a small programming component. For example, students may be asked to implement or run an algorithm to confirm that the numerical results agree with the theoretical analysis, or to see how round-off errors can produce unexpected results. The programming exercises will be done in MATLAB.
Assignments are expected to be graded and returned within a fortnight.
Further details can be found on the course Wattle site.
Assessment Task 2
Learning Outcomes: 1
A written project proposal (around 1 page) is due by the end of Week 3. The project proposal should contain:
- Problem to be solved
- Relevant numerical linear algebra
- Timeline including milestones
Assessment Task 3
Learning Outcomes: 1,2,3,4,5
The project assessment is based on project report demonstrating an understanding of theory, computations and applications. Proposed outline for project;
- What is the project about?
- What are the important/interesting results?
- Summarise the main aspects of the project.
- Why is the project of interest?
- Where does this work fit in the bigger picture?
- What has been done by others in this field?
- What method are you using?
- What type of results do you expect (i.e. what mathematical tools do you have to help verify your code)?
- Include a theoretical error analysis if available.
- Briefly give some alternative approaches.
- Explain why you are using a particular method.
- What are the limitations of your method.
- Hand in a copy of your code. Grades will be assigned for comments and how well the code is set out.
- Show that your code is working.
- Tabulate/graph your results.
- Explain your results.
- Future Work
- If you had time how would you extend your project.
Assessment Task 4
Learning Outcomes: 2,4,5
A course hurdle is that students score at least 40% in the final exam.
The date range in the Assessment Summary indicates the start of the end of semester exam period and the date official end of semester results are released on ISIS. Please check the ANU final Examination Timetable http://www.anu.edu.au/students/program-administration/assessments-exams/examination-timetable to confirm the date, time and location exam.
Academic IntegrityAcademic integrity is a core part of our culture as a community of scholars. At its heart, academic integrity is about behaving ethically. This means that all members of the community commit to honest and responsible scholarly practice and to upholding these values with respect and fairness. The Australian National University commits to embedding the values of academic integrity in our teaching and learning. We ensure that all members of our community understand how to engage in academic work in ways that are consistent with, and actively support academic integrity. The ANU expects staff and students to uphold high standards of academic integrity and act ethically and honestly, to ensure the quality and value of the qualification that you will graduate with. The University has policies and procedures in place to promote academic integrity and manage academic misconduct. Visit the following Academic honesty & plagiarism website for more information about academic integrity and what the ANU considers academic misconduct. The ANU offers a number of services to assist students with their assignments, examinations, and other learning activities. The Academic Skills and Learning Centre offers a number of workshops and seminars that you may find useful for your studies.
You will be required to electronically agree to a declaration as part of the submission of your assignments, that will record your understanding of ANU academic integrity principles. All assignment submissions will be electronic via Wattle and/or the WebAssign platform. Please keep a copy of all your assignment submissions for your records. MATH6112 does not use Turnitin.
All assignment submissions will be electronic via Wattle.
Late submission of assessment tasks without an extension are penalised at the rate of 5% of the possible marks available per working day or part thereof. Late submission of assessment tasks is not accepted after 3 working days after the due date, or on or after the date specified in the course outline for the return of the assessment item. No extensions will be granted for the submission of assessment items after the return of the assessment item or any discussion of the solutions of the assessment tasks. Late submission is not accepted for take-home examinations.
Referencing RequirementsAccepted academic practice for referencing sources that you use in presentations can be found via the links on the Wattle site, under the file named “ANU and College Policies, Program Information, Student Support Services and Assessment”. Alternatively, you can seek help through the Students Learning Development website.
Graded assignments will be returned electronically through the Wattle assignment tool.
Extensions and PenaltiesExtensions and late submission of assessment pieces are covered by the Student Assessment (Coursework) Policy and Procedure The Course Convener may grant extensions for assessment pieces that are not examinations or take-home examinations. If you need an extension, you must request an extension in writing on or before the due date. If you have documented and appropriate medical evidence that demonstrates you were not able to request an extension on or before the due date, you may be able to request it after the due date.
Resubmission of Assignments
Assignments may not be resubmitted.
Distribution of grades policyAcademic Quality Assurance Committee monitors the performance of students, including attrition, further study and employment rates and grade distribution, and College reports on quality assurance processes for assessment activities, including alignment with national and international disciplinary and interdisciplinary standards, as well as qualification type learning outcomes. Since first semester 1994, ANU uses a grading scale for all courses. This grading scale is used by all academic areas of the University.
Support for studentsThe University offers students support through several different services. You may contact the services listed below directly or seek advice from your Course Convener, Student Administrators, or your College and Course representatives (if applicable).
- ANU Health, safety & wellbeing for medical services, counselling, mental health and spiritual support
- ANU Diversity and inclusion for students with a disability or ongoing or chronic illness
- ANU Dean of Students for confidential, impartial advice and help to resolve problems between students and the academic or administrative areas of the University
- ANU Academic Skills and Learning Centre supports you make your own decisions about how you learn and manage your workload.
- ANU Counselling Centre promotes, supports and enhances mental health and wellbeing within the University student community.
- ANUSA supports and represents undergraduate and ANU College students
- PARSA supports and represents postgraduate and research students
Numerical linear algebra, numerical solution of partial differential equations, finite element method, adaptive grid refinement, parallel algorithms and high performance computing
AsPr Linda Stals