Commutative and Multilinear Algebra
Subject MAST90025 (2014)
Note: This is an archived Handbook entry from 2014.
Credit Points:  12.50 

Level:  9 (Graduate/Postgraduate) 
Dates & Locations:  This subject is not offered in 2014. 
Time Commitment:  Contact Hours: 36 hours comprising two 1hour lectures per week and one 1hour practice class per week. Total Time Commitment: 3 contact hours plus 7 hours private study per week. 
Prerequisites:  The following, or equivalent Subject Study Period Commencement: Credit Points: 
Corequisites:  None 
Recommended Background Knowledge:  None 
Non Allowed Subjects:  None 
Core Participation Requirements: 
For the purposes of considering requests for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements for this entry. The University is dedicated to provide support to those with special requirements. Further details on the disability support scheme can be found at the Disability Liaison Unit website: http://www.services.unimelb.edu.au/disability/ 
Subject Overview: 
The subject covers aspects of multilinear and commutative algebra as well as two substantial applications. Within multilinear algebra this includes bilinear forms and `multilinear productsâ€™ of vector spaces, such as tensor products. Commutative algebra concerns itself with properties of commutative rings, such as polynomial rings and their quotients and to modules over such rings. Both topics have wide application, both to other parts of mathematics and to physics. Much of this theory was developed for applications in geometry and in number theory, and the theorems can be used to cast substantial light on problems from geometry and number theory. 

Learning Outcomes: 
After completing this subject, students should gain:

Assessment: 
Up to 60 pages of written assignments (75%: three assignments worth 25% each, due early, mid and late in semester), a 3hour written examination (25%, in the examination period). 
Prescribed Texts:  TBA 
Recommended Texts: 

Breadth Options:  This subject is not available as a breadth subject. 
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:

Related Course(s): 
Master of Philosophy  Engineering Master of Science (Mathematics and Statistics) Ph.D. Engineering 
Related Majors/Minors/Specialisations: 
Mathematics and Statistics 
Download PDF version.