- Class Number 3053
- Term Code 3230
- Class Info
- Unit Value 6 units
- Mode of Delivery In Person
- Prof Peter Bouwknegt
- Prof Peter Bouwknegt
- Class Dates
- Class Start Date 21/02/2022
- Class End Date 27/05/2022
- Census Date 31/03/2022
- Last Date to Enrol 28/02/2022
This course introduces students to key concepts and techniques in mathematical physics. Topics will be taken from mathematical areas relevant to contemporary research in mathematical physics, and will typically be either a topic in Algebra or (Differential) Geometry. The course will be mathematical in nature and does not require a background in physics.
Note: This is an Honours Pathway Course (HPC):
It emphasises mathematical rigour and proof for a range of advanced mathematical physics topics.
Upon successful completion, students will have the knowledge and skills to:
- Explain the fundamental concepts of a special topic in mathematical physics.
- Demonstrate accurate and efficient use of specific mathematical physics techniques.
- Demonstrate capacity for mathematical reasoning through analysing, proving and explaining concepts from mathematical physics.
Lie algebras form a backbone of almost all research in the area of Mathematical Physics, as well as other areas of Mathematics. This course is a first introduction to Lie algebras, providing the student with background knowledge to pursue further (original) research in the area. If time allows, topics on the forefront of present day research (Kac-Moody algebras, Vertex Operator Algebras) will be incorporated.
Lecture notes will be provided via Wattle.
The course will be largely based on the textbook by JE Humphreys, "Introduction to Lie algebras and Representation Theory" (Springer 1972), which students may want to consult for clarification of the material.
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
- verbal comments
- feedback to whole class, groups, individuals, focus group etc.
ANU 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||In 2022, this course will cover: Lie Algebras, Representation Theory and Applications, in the context of Mathematical Physics.||The two written assignments and the written open-book examination will assess the topics covered.|
Tutorial/Workshop-style sessions, when delivered, will form part of the scheduled lecture hours for this course.
|Assessment task||Value||Due Date||Return of assessment||Learning Outcomes|
|Assignment 1||20 %||*||*||1,2,3|
|Assignment 2||20 %||*||*||1,2,3|
* If the Due Date and Return of Assessment date are blank, see the Assessment Tab for specific Assessment Task details
ANU 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:
The 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 Academic Integrity . In rare cases where online submission using Turnitin software is not technically possible; or where not using Turnitin software has been justified by the Course Convener and approved by the Associate Dean (Education) on the basis of the teaching model being employed; students shall submit assessment online via ‘Wattle’ outside of Turnitin, or failing that in hard copy, or through a combination of submission methods as approved by the Associate Dean (Education). The submission method is detailed below.
Moderation of Assessment
Marks 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.
In Semester 1 2022, this course is delivered on campus with adjustments for remote participants. Participants are expected to take part in class sessions to develop their understanding and ability to clearly present the material, both in terms of proving results and working out examples.
This course includes a final exam, which will be a written, open book exam (access to lecture notes and assignment solutions). The details and mode of delivery for exams will be communicated through the course Wattle site and the ANU final examination timetable.
Please note that, where a date range is used in the Assessment Summary in relation to exams, the due and return date for end of semester exams indicate the approximate timeframe in which the exam will be held and the date official end of Semester results are released on ISIS. Students should consult the course Wattle site and the ANU final examination timetable to confirm the date, time and mode of the exam.
Assessment Task 1
Learning Outcomes: 1,2,3
Written assignment covering part I of the course (Lie algebras: Structure Theory). Tentatively to be distributed during week 6 of the course, and due 2 weeks later (flexible / in discussion with the students).
Assessment Task 2
Learning Outcomes: 1,2,3
Written assignment covering part II of the course (Lie algebras: Representation Theory). Tentatively to be distributed during week 11 of the course, and due 2 weeks later (flexible / in discussion with the students).
Assessment Task 3
Learning Outcomes: 1,2,3
Written open-book exam (access to lecture notes and assignment solutions), during the regular exam period.
Academic integrity is a core part of the ANU culture as a community of scholars. At its heart, academic integrity is about behaving ethically, committing to honest and responsible scholarly practice and upholding these values with respect and fairness.
The ANU commits to assisting all members of our community to 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 be familiar with the academic integrity principle and Academic Misconduct Rule, 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 Academic Misconduct Rule is in place to promote academic integrity and manage academic misconduct. Very minor breaches of the academic integrity principle may result in a reduction of marks of up to 10% of the total marks available for the assessment. The ANU offers a number of online and in person services to assist students with their assignments, examinations, and other learning activities. Visit the Academic Skills website for more information about academic integrity, your responsibilities and for assistance with your assignments, writing skills and study.
You will be required to agree to a declaration as part of the submission of your assignments, that will record your understanding of ANU academic integrity principles. Submission of assignments will either be via a Wattle assignment tool or by email: further details will be provided on the course Wattle site. Please keep a copy of tasks completed for your records. MATH3351 does not use Turnitin, having been granted an exemption.
For some forms of assessment (hand written assignments, art works, laboratory notes, etc.) hard copy submission is appropriate when approved by the Associate Dean (Education). Hard copy submissions must utilise the Assignment Cover Sheet. Please keep a copy of tasks completed for your records.
Late submission permitted. 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 10 working days after the due date, or on or after the date specified in the course outline for the return of the assessment item. Late submission is not accepted for take-home examinations.
Accepted 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.
Assignments to be returned via email.
Extensions and Penalties
Extensions and late submission of assessment pieces are covered by the Student Assessment (Coursework) Policy and Procedure. Extensions may be granted 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
Distribution of grades policy
Academic 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 students
The 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
Prof Peter Bouwknegt