The aim of this module is to introduce students to some of the basic ideas of number theory, and to use this as a context in which to discuss the development of mathematics through examples, conjectures, theorems, proofs and applications. The module will introduce and illustrate different methods of proof in the context of elementary number theory, and will apply some basic techniques of number theory to cryptography.
One of the pre-requisites for MATH3078
Having successfully completed this module you will be able to:
Lectures, problem classes, workshops, private study
| Type | Hours |
|---|---|
| Revision | 30 |
| Lecture | 36 |
| Supervised time in studio/workshop | 6 |
| Wider reading or practice | 10 |
| Tutorial | 12 |
| Follow-up work | 24 |
| Completion of assessment task | 20 |
| Preparation for scheduled sessions | 12 |
| Total study time | 150 |
JONES G A & JONES J M (1998). Elementary Number Theory.. Springer.
ROSEN K H (1988). Number Theory and its Applications. Addison-Wesley.
This is how we’ll formally assess what you have learned in this module.
| Method | Percentage contribution |
|---|---|
| Written exam | 60% |
| Class Test | 20% |
| Coursework | 20% |
This is how we’ll assess you if you don’t meet the criteria to pass this module.
| Method | Percentage contribution |
|---|---|
| Exam | 100% |
Repeat type: Internal & External