Note: This is an archived Handbook entry from 2009. Search for this in the current handbook
|Dates & Locations:|| |
This subject has the following teaching availabilities in 2009:Semester 2, - Taught on campus.
Lectures and practice classes
Timetable can be viewed here. For information about these dates, click here.
|Time Commitment:||Contact Hours: 36 one-hour lectures (three per week), 11 one-hour practice classes (one per week) |
Total Time Commitment: 120 hours total time commitment.
A grade of H1 in either 620-142 (prior to 2009) or 620-192 (prior to 2006) and additional reading;
Linear Algebra and one of
|Recommended Background Knowledge:||None|
|Non Allowed Subjects:||
Students may only gain credit for one of Group Theory and Linear Algebra and 620-222 (prior to 2009).
|Core Participation Requirements:||It is University policy to take all reasonable steps to minimise the impact of disability upon academic study and reasonable steps will be made to enhance a student’s participation in the University’s programs. Students who feel their disability may impact upon their participation are encouraged to discuss this with the subject coordinator and the Disability Liaison Unit.|
CoordinatorAssoc Prof Craig David Hodgson
This subject introduces the theory of groups, which is at the core of modern algebra, and which has applications in many parts of mathematics, chemistry, computer science and theoretical physics. It also develops the theory of linear algebra, building on material in earlier subjects and providing both a basis for later mathematics studies and an introduction to topics that have important applications in science and technology.
Topics include: modular arithmetic and RSA cryptography; abstract groups, homomorphisms, normal subgroups, quotient groups, group actions, symmetry groups, permutation groups and matrix groups; theory of general vector spaces, inner products, linear transformations, spectral theorem for normal matrices, Jordan normal form.
On completion of this subject, students should
Understand the concepts of:
Be able to:
Up to 50 pages of written assignments 20% (due during semester), a 3-hour written examination 80% (in the examination period).
Lecture Notes for Group Theory and Linear Algebra, Department of Mathematics and Statistics.
|Breadth Options:|| |
This subject potentially can be taken as a breadth subject component for the following courses:
You should visit learn more about breadth subjects and read the breadth requirements for your degree, and should discuss your choice with your student adviser, before deciding on your subjects.
|Fees Information:||Subject EFTSL, Level, Discipline & Census Date|
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include
|Notes:||This subject is available for science credit to students enrolled in the BSc (both pre-2008 and new degrees), BASc or a combined BSc course.|
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