Number Theory

Course code MATH3170Units 10Level 3000Faculty of Science and Information TechnologySchool of Mathematical and Physical Sciences

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.

Available in 2015

Callaghan CampusSemester 2
Previously offered in 2014
ObjectivesOn successful completion of this course, students will be able to:

1. hold an 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. develop problem-solving and communication skills
Content. primes and divisibility
. congruences and their applications
. quadratic residues
. diophantine equations
. applications to other areas, including cryptography
Replacing Course(s)n/a
Industrial Experience0
Assumed KnowledgeMATH2320 or MATH2330
Modes of DeliveryInternal Mode
Teaching MethodsLecture
Assessment Items
Essays / Written Assignments
Examination: Formal
Quiz - Class
Contact HoursLecture: for 3 hour(s) per Week for Full Term
Timetables2015 Course Timetables for MATH3170