Mathematical Structures G (8938.3)
| Available teaching periods | Delivery mode | Location |
|---|---|---|
| View teaching periods | ||
| EFTSL | Credit points | Faculty |
| 0.125 | 3 | Faculty Of Science And Technology |
| Discipline | Study level | HECS Bands |
| Academic Program Area - Technology | Graduate Level | Band 1 2021 (Commenced After 1 Jan 2021) Band 1 2021 (Commenced Before 1 Jan 2021) |
Learning outcomes
On successful completion of this unit, students will be able to:1. Demonstrate understanding of the concepts and methods of number theory and abstract algebra;
2. Compute with the RSA algorithm and permutation groups, either manually and with mathematical software;
3. Recognise the range of applications of abstract algebra in modern information technology;
4. Analyse and solve contemporary problems of both theoretical and practical importance; and
5. Interpret and assess the real-life implications of these applications.
Graduate attributes
1. UC graduates are professional - communicate effectively1. UC graduates are professional - display initiative and drive, and use their organisation skills to plan and manage their workload
1. UC graduates are professional - employ up-to-date and relevant knowledge and skills
1. UC graduates are professional - use creativity, critical thinking, analysis and research skills to solve theoretical and real-world problems
Skills development
This unit is concerned with the mathematics that underlies numerous aspects of modern computing including computer security, data communication, compression, storage and retrieval. The unit emphasises the rigorous understanding of the mathematical tools that have proven to be of crucial importance for these applications. Students successfully completing this unit will be able to use these tools and do elementary proofs of their correctness.
2.1 Content and teaching strategies of the teaching area - Demonstrate knowledge and understanding of the
concepts, substance and structure of the content and teaching strategies of the teaching area.
Prerequisites
6699 Discrete Mathematics G.Corequisites
None.Equivalent units
None.Assumed knowledge
None.| Year | Location | Teaching period | Teaching start date | Delivery mode | Unit convener |
|---|
Required texts
There is no required textbook for this unit. The lecture notes will be available on the Canvas Site at the start of semester.
Learner engagement
| Lectures (1 hours/week; 12 times) |
12 |
| Tutorials (2 hours/week; 12 times) |
24 |
| Weekly study (4 hours/week; 12 times) |
48 |
| In-class test revision (6 hours) |
6 |
| Assignments (18 hours; 2 times) |
36 |
| Final exam and revision (24 hours) |
24 |
| Total |
150 |
Participation requirements
You are expected to attend lectures and tutorials. The lectures will be recorded, but problems with the recordings will not be accepted as an excuse for anything. You are strongly encouraged to attend tutorials in person, as they will not be recorded. The tests and exam will draw upon the activities completed in tutorials.
Required IT skills
All students are expected to be able to:
- Read and print documents on the unit website – mostly in Adobe PDF format.
- Communicate using e-mail.
- Use their own scientific calculator.
In-unit costs
There is no text for the unit. You will need a scientific calculator for use in tests and the final exam. We recommend the Casio fx 82 AU Plus II, which is available from the Union Shop for $35.
Work placement, internships or practicums
None.
