MATH3120
10 units
3000 level
Course handbook
Description
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.
Availability2024 Course Timetables
Callaghan
- Semester 1 - 2024
Learning outcomes
On successful completion of the course students will be able to:
1. critically evaluate mathematical proofs for correctness and explain their underlying mathematical ideas;
2. devise correct, rigorous mathematical proofs of propositions involving abstract concepts;
3. solve a variety of problems within the field of Algebra;
4. communicate mathematical concepts verbally and in writing
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 factorisation domains
Assumed knowledge
MATH2340 or MATH2320
Assessment items
Formal Examination: Examination
Presentation: Oral Presentations
Written Assignment: Short Answer Questions
In Term Test: Mid-Semester Take Home Test
Contact hours
Semester 1 - 2024 - Callaghan
Lecture-1
- Face to Face On Campus 3 hour(s) per week(s) for 13 week(s) starting in week 1
Course outline
- MATH3120 - Semester 1, 2022 (Callaghan) (PDF, 168.0 KB)
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