• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career Undergraduate
  • Course convener
    • Dr Joan Licata
  • Mode of delivery In Person
  • Co-taught Course MATH3104
  • Offered in Second Semester 2016
    See Future Offerings

Algebra 1 is a foundational course in Mathematics, introducing some of the key concepts of modern algebra. The course  leads on to other areas of algebra such as Galois Theory, Algebraic Topology and Algebraic Geometry. It also provides important tools for other areas such as theoretical computer science, physics and engineering.
Topics to be covered include:

  • Group Theory - permutation groups; abstract groups, subgroups, cyclic and dihedral groups; homomorphisms; cosets, Lagrange's Theorem, quotient groups; group actions; Sylow theory.
  • Ring Theory - rings and fields, polynomial rings, factorisation; homomorphisms, factor rings.
  • Linear algebra - real symmetric matrices and quadratic forms, Hermitian matrices, canonical forms.
  • Set Theory - cardinality.

Note: This is an HPC. It emphasises mathematical rigour and proof and develops modern algebra from an abstract viewpoint.

Learning Outcomes

On satisfying the requirements of this course, students will have the knowledge and skills to:

1. Explain the fundamental concepts of advanced algebra such as groups and rings and their role in modern mathematics and applied contexts
2. Demonstrate accurate and efficient use of advanced algebraic techniques
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from advanced algebra
4. Apply problem-solving using advanced algebraic techniques applied to diverse situations in physics, engineering and other mathematical contexts

Indicative Assessment

Assessment will be based on:

  • Five assignments (8% each; LO 1-4)
  • Mid semester exam (20%; LO 1-4)
  • Final exam (40%; LO 1-4)

The ANU uses Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. While the use of Turnitin is not mandatory, the ANU highly recommends Turnitin is used by both teaching staff and students. For additional information regarding Turnitin please visit the ANU Online website.

Workload

36 lectures and ten tutorials

 

Requisite and Incompatibility

To enrol in this course you must have successfully completed MATH1116 with a mark of at least 60 or have completed MATH1115 with a mark of at least 80 and be concurrently enrolled in MATH1116. You are not able to enrol in this course if you have previously completed MATH3104.

Specialisations

Fees

Tuition fees are for the academic year indicated at the top of the page.  

If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.

Student Contribution Band:
Band 2
Unit value:
6 units

If you are an undergraduate student and have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). You can find your student contribution amount for each course at Fees.  Where there is a unit range displayed for this course, not all unit options below may be available.

Units EFTSL
6.00 0.12500
Domestic fee paying students
Year Fee
2016 $3276
International fee paying students
Year Fee
2016 $4368
Note: Please note that fee information is for current year only.

Offerings and Dates

The list of offerings for future years is indicative only

Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery
7709 18 Jul 2016 29 Jul 2016 31 Aug 2016 28 Oct 2016 In Person

Responsible Officer: Registrar, Student Administration / Page Contact: Website Administrator / Frequently Asked Questions