MATH3711 is a Mathematics Level III course. See the course overview below.

**Units of credit: **6

**Prerequisites:** 12 units of credit in Level II Mathematics courses with an average mark of at least 70, including MATH2601 or MATH2501(credit), or permission from the Head of Department

**Excluded:** MATH3521, MATH3710, MATH3720, MATH3740

**Cycle of offering:** Term 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 MATH3711, you can log into UNSW Moodle for this course.

#### Course Description

In Higher Algebra we examine some of the basic notions of modern algebra that arose in the late 19th and early 20th century. The most fundamental notion is that of a group, which is how mathematicians study symmetry. In this course groups are studied in detail both from an abstract point of view and also to study symmetry in geometry. The other important concept studied is that of a ring. The algebra of adding and multiplying matrices has many similarities with the algebra of numbers. The notion of rings generalises both these two examples. The course examines factorisation theory for certain rings.