Group Theory and Linear Algebra
Subject MAST20022 (2010)
Note: This is an archived Handbook entry from 2010.
Credit Points:  12.50  

Level:  2 (Undergraduate)  
Dates & Locations:  This subject has the following teaching availabilities in 2010: Semester 2, Parkville  Taught on campus.
Lectures and practice classes Timetable can be viewed here. For information about these dates, click here.  
Time Commitment:  Contact Hours: 3 x one hour lectures per week, 1 x one hour practice class per week Total Time Commitment: Estimated total time commitment of 120 hours  
Prerequisites: 
One of
Or A grade of H1 in either of the following with additional reading
Or 620156 Linear Algebra and one of
 
Corequisites:  None  
Recommended Background Knowledge:  None  
Non Allowed Subjects: 
Students may only gain credit for one of
 
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. 
Coordinator
Assoc Prof Craig HodgsonContact
Second Year Coordinator
Email: sycoord@ms.unimelb.edu.au
Subject Overview: 
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. 

Objectives: 
On completion of this subject, students should Understand the concepts of:
Be able to:

Assessment: 
Three written assignments due at regular intervals during semester amounting to a total of up to 50 pages (20%), and a 3hour written examination in the examination period (80%). 
Prescribed Texts: 
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 
Generic Skills: 
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 pre2008 and new degrees), BASc or a combined BSc course. 
Related Course(s): 
Bachelor of Science 
Download PDF version.