MTH2137 Number theory and cryptography
Faculty of Science
MTH2137 Number theory and cryptography is a level 2, 6-credit-point, undergraduate unit from the Faculty of Science, offered in 2025 in Semester 2 at Clayton. It has no prerequisites and unlocks 2 units, leading on to 17 units in all.
- Credit points
- 6
- Offered in 2025
- Semester 2
- Clayton
- Assessment
- Exam 50%
- and 1 other task
This is the 2025 handbook entry. See the 2027 entry.
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Requisites
Before MTH2137
No prerequisites or corequisites besides the enrolment rules below.
After MTH2137
2 units list MTH2137 as a prerequisite or corequisite.
Enrolment rules
PROHIBITION: MTH2121, MTH3121, MTH3137
Equivalent units
The same content under another code. Only one of them counts.
Overview
Prime numbers; Euclidean algorithm; congruences; the Euler totient function; the theorems of Fermat, Euler and Wilson; RSA public key cryptosystem; Chinese remainder theorem; quadratic reciprocity; primitive roots; factorisation and primality testing algorithms; secure key exchange; elliptic curve cryptography.
Offerings in 2025
| Teaching period | Campus | Mode |
|---|---|---|
| Second semester | Clayton | On campus |
Assessment
- Continuous assessmentDemonstration50%
- Final assessment - Exam (3 hours and 10 minutes)Examination50%
Learning outcomes
When you finish this unit, you should be able to:
- 1
Apply the classification of numbers and analyse their relationships, such as divisibility and primality;
- 2
Illustrate the power of pure mathematics and appreciate its beauty;
- 3
Demonstrate an understanding of the fundamental concepts of number theory;
- 4
Explain how thousands of years of pure mathematical developments have enabled secure electronic communication and commerce;
- 5
Employ fundamental number theoretic algorithms for a range of tasks including exchanging information securely and testing whether numbers are prime.
Workload and teaching
- Seminars36 hours
- Applied sessions22 hours
- Teaching approachActive learning
- Three 1-hour seminars;
- One 2-hour applied class (in weeks 2-12) and
- 7 hours of independent study per week.
Where it fits
MTH2137 is part of 7 areas of study in the 2025 handbook.
- APPLMTH07Additional extended major elective unitApplied mathematicsNo reviews yet
- MTHSTAT07Mathematical statistics elective unitsMathematical statisticsNo reviews yet
- MATHS07Mathematics elective unitMathematicsNo reviews yet
- MATHS09Mathematics elective unitsMathematicsNo reviews yet
- MATHS11Mathematics elective unitsMathematicsNo reviews yet
- MATPURE09Pure mathematics elective unitsPure mathematicsNo reviews yet
- MATPURE11Pure mathematics elective unitsPure mathematicsNo reviews yet
Contacts
- Chief Examiners
- Professor Ian Wanless
- Unit Coordinators
- Professor Ian Wanless
Common questions
What are the prerequisites for MTH2137?
MTH2137 has no prerequisites, but enrolment rules apply.
What can I take after MTH2137?
MTH2137 is a prerequisite or corequisite for 2 units, including MTH3141 and MTH3170. Those lead on to 17 units in all.
When is MTH2137 offered?
In 2025, MTH2137 runs in Semester 2 at Clayton.
Does MTH2137 have an exam?
Yes. The exam is worth 50% of the final mark, alongside 1 other task.
Which majors and minors include MTH2137?
MTH2137 is part of Applied mathematics, Mathematical statistics, Mathematics and Pure mathematics.