The University of Newcastle, Australia
Available in 2020
Course code



10 units


3000 level

Course handbook


Number Theory, which deals with properties of the positive integers, is one of the oldest branches of mathematics. Many of its problems are very easy to understand, but some such as Fermat's famous "Last Theorem" are devilishly hard to solve. In recent years, old ideas have found practical applications.

This course provides an introduction to the important basic topics of number theory: prime numbers, factorisation, congruence and diophantine equations. These topics are treated from a modern point of view, emphasising the underlying algebraic structure. They provide the necessary background for a brief introduction to modern cryptography.



  • Semester 1 - 2020

Learning outcomes

On successful completion of the course students will be able to:

1. Demonstrate in-depth knowledge of a primary branch of mathematics

2. Demonstrate how many of the abstract ideas they have previously studied can be used

3. Demonstrate developed problem-solving and communication skills


  • Primes and divisibility
  • Congruences and their applications
  • Quadratic residues
  • Diophantine equations
  • Applications to other areas, including cryptography

Assumed knowledge

MATH2320 or MATH2330

Assessment items

Formal Examination: Examination

Quiz: Quiz/s

Written Assignment: Essays/Written Assignments

Contact hours



Face to Face On Campus 3 hour(s) per Week for Full Term