MATH3120
Algebra
10 Units
Available in 2012
| Callaghan Campus | Semester 1 |
|---|
Previously offered in 2013, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004
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.
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
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Contact HoursLecture: for 3 hour(s) per Week for Full Term | ||
Timetables |