Algebra

Course code MATH3120Units 10Level 3000Faculty of Science and Information TechnologySchool of Mathematical and Physical Sciences

Extends the application of the familiar algebraic laws for adding and multiplying numbers, matrices and vectors to other contexts. Depending on just which laws are satisfied, the algebraic structures studied are called groups, rings and fields. These concepts underlie much of modern mathematics, and are essential background for research in any area of pure mathematics.

Available in 2015

Callaghan CampusSemester 1
Previously offered in 2014
ObjectivesOn successful completion of this course, students will:

1. hold an algebraic background consistent with current research in the discipline
2. be able to work within abstract algebraic frameworks
3. had been provided with an overview of algebra covered in previous years of study.
Content. groups and subgroups
. homomorphisms and factor groups
. permutation groups
. groups acting on sets
. abelian groups
. rings and modules
. integral domains
. fields
. homomorphisms and factor rings
. prime ideals and maximal ideals
. unique factorization domains
Replacing Course(s)n/a
Transitionn/a
Industrial Experience0
Assumed KnowledgeMATH2320
Modes of DeliveryInternal Mode
Teaching MethodsLecture
Assessment Items
Essays / Written Assignments
Examination: Formal
Contact HoursLecture: for 3 hour(s) per Week for Full Term
Timetables2015 Course Timetables for MATH3120