MATH3521 Algebraic Techniques in Number Theory

MATH3521 is a Mathematics Level III course. See the course overview below.

Units of credit: 6

Prerequisites: 12 units of credit in Level 2 Math courses

Exclusions: MATH3710, MATH3711, MATH3720, MATH3740

Cycle of offering: Yearly in Semester 1

Graduate attributes: The course will enhance your research, inquiry and analytical thinking abilities.

More information:

 This recent course handout (pdf) contains information about course objectives, assessment, course materials and the syllabus.

The Online Handbook entry contains up-to-date timetabling information.

If you are currently enrolled in MATH3521, you can log into UNSW Moodle for this course.

Course Overview

This course aims to examine key questions in the Theory of Numbers whose solution led to the development of modern abstract algebra. The basic notions of rings, fields and groups will be developed which we will then use to solve problems relating to the integers.

Finally, we will look at the concept of field extensions which will then be used to answer interesting questions relating to problems of constructibility which interested the ancient Greeks. The course will give an integrated approach to number theory and abstract algebra, and provide a firm basis for further reading and study in the subject.