APPLIED ALGEBRA

MAT2AAL

2014

Credit points: 15

Subject outline

The study of algebraic structures, such as groups, fields and vector spaces, underpins a large amount of modern computer science. Group theory, the principal mathematical tool for analysing symmetry, is genuine 20th century mathematics and has widespread applications in all areas of science. Field theory and linear algebra have important applications to coding theory, which is used to preserve the security of computer networks. This subject is taught in two parallel streams. One begins with some number theory then develops the basics of group theory and ends with the axiomatic treatment of vector spaces. The other stream includes an introduction to error-correcting codes and rings, fields and polynomials. The material is presented with an emphasis on an understanding of the structures, and their applications.

Faculty: Faculty of Science, Tech & Engineering

Credit points: 15

Subject Co-ordinator: Narwin Perkal

Available to Study Abroad Students: Yes

Subject year level: Year Level 2 - UG

Exchange Students: Yes

Subject particulars

Subject rules

Prerequisites: MAT1CLA or MAT1CB or MAT1NLA

Co-requisites: N/A

Incompatible subjects: N/A

Equivalent subjects: N/A

Special conditions: N/A

Learning resources

Readings

Resource Type	Title	Resource Requirement	Author and Year	Publisher
Readings	Printed texts available from University Bookshop	Prescribed	N/A	N/A

Melbourne, 2014, Semester 2, Day

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information:

Subject Instance Co-ordinator: Narwin Perkal

Class requirements

LectureWeek: 31 - 43
Two 1.0 hours lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

PracticalWeek: 31 - 43
Two 1.0 hours practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

Assessments

Assessment element	Comments	%
one 3-hour examination		85
six fortnightly assignments		15