Teaching Responsibility

LJMU Schools involved in Delivery:

Computer Science and Mathematics

Learning Methods

Lecture

Practical

Module Offerings

6111MATHS-SEP-CTY

Aims

Experimental Number Theory aims to familiarise students with the concepts of number theory from a computational perspective. It seeks to introduce students to some topics in elementary number theory based on formulation of conjectures from experimental data.

Learning Outcomes

1.
Undertake the experimental underpinning of number theory: collecting and working with data, conjecturing, and formalizing statements.
2.
Apply different types of proof in the context of number theory.
3.
Implement some applications of number theory.

Module Content

Outline Syllabus:Integers, Divisors and the Division Algorithm, Greatest Common Divisor and the Euclidean Algorithm, Prime Numbers and Unique Factorization, Modular Arithmetic, Linear Congruences and the Chinese Remainder Theorem, Quadratic Reciprocity, Cryptography.
Module Overview:
The aim of this module is to familiarise you with the concepts of number theory from a computational perspective. It seeks to introduce you to some topics in elementary number theory based on formulation of conjectures from experimental data.
Additional Information:Students will be expected to engage with the learning on this module in a sound combination of experimental and theoretical manner, starting from data to formulate conjectures, testing the conjectures and trying to prove the conjectures.

Assessments

Centralised Exam

Portfolio