Mathematical Structures (12124.1)

Please note these are the 2025 details for this unit
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Mathematical Structures
Available teaching periods Delivery mode Location
View teaching periods Hybrid
 Bruce, Canberra
EFTSL Credit points Faculty
0.125 3 Faculty Of Science And Technology
Discipline Study level HECS Bands
Academic Program Area - Technology Level 3 - Undergraduate Advanced Unit Band 1 2021 (Commenced After 1 Jan 2021)
Band 1 2021 (Commenced Before 1 Jan 2021)
This unit teaches number theory and an introduction to abstract algebra. Topics include modular arithmetic, prime numbers, groups, permutations, rings and fields. These topics have many applications to software engineering, information technology, and physics. The unit provides students with a thorough understanding of the basic techniques, together with an introduction to applications, particularly the RSA algorithm and geometric symmetry. We will cover finite field, the mathematical structures underpinning coding theory and cryptography.

Learning outcomes

On successful completion of this unit, students will be able to:
1. Demonstrate proficiency in combinatorial reasoning;
2. Examine the importance of mathematical proof and be able to devise proofs of their own;
3. Identify and implement the applications of mathematics to real problems; and
4. Explore and critique the important mathematical constructions that are the foundations to mathematical computation.


Graduate attributes

1. UC graduates are professional - display initiative and drive, and use their organisation skills to plan and manage their workload
1. UC graduates are professional - use creativity, critical thinking, analysis and research skills to solve theoretical and real-world problems
1. UC graduates are professional - work collaboratively as part of a team, negotiate, and resolve conflict
2. UC graduates are global citizens - communicate effectively in diverse cultural and social settings
3. UC graduates are lifelong learners - adapt to complexity, ambiguity and change by being flexible and keen to engage with new ideas
3. UC graduates are lifelong learners - be self-aware


Prerequisites

6698 Discrete Mathematics AND 8110 Linear Algebra

Corequisites

None.

Incompatible units

None.

Equivalent units

6543 Mathematical Structures

Assumed knowledge

None.
Availability for enrolment in 2025 is subject to change and may not be confirmed until closer to the teaching start date.
Year Location Teaching period Teaching start date Delivery mode Unit convener
2025 Bruce, Canberra Semester 1 03 February 2025 Hybrid Dr Sergey Sergeev
The information provided should be used as a guide only. Timetables may not be finalised until week 2 of the teaching period and are subject to change. Search for the unit timetable.

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