Overview
MATH5645 is an honours and postgraduate coursework mathematics course.
Units of credit:听6
Pre-requisite:聽MATH2501 or MATH2601 and MATH3711 with an average mark of at least 70
贰虫肠濒耻蝉颈辞苍蝉:听N/A
Cycle of offering:聽Term 3聽
Graduate attributes:聽The course will enhance your research, inquiry and analytical thinking abilities.
More information:聽The Course outline will be made available closer to the start of term - please visit this website: www.unsw.edu.au/course-outlines
The course outline contains information about course objectives, assessments, course materials and the syllabus.聽
Important additional information as of 2023
国产精品 Plagiarism Policy
The University requires all students to be aware of its聽.
For courses convened by the聽School of Mathematics and Statistics no assistance using generative AI software is allowed unless specifically referred to in the individual assessment tasks.
If its use is detected in the no assistance case, it will be regarded as serious academic misconduct and subject to the standard penalties, which may include 00FL, suspension and exclusion.
罢丑别听聽contains聽information about the course. The timetable is only up-to-date if the course is being offered this year.
If you are currently enrolled in MATH5645, you can log into聽聽for this course.
Course overview
The theory of finite fields is one of the most elegant areas of mathematics with links to other areas such as algebra, number theory,聽combinatorics and聽graph theory. It also appears in a wide range of applied disciplines such as聽theoretical computer science, coding theory and cryptography. 聽
In this course, we start by discussing some fundamental notions of the theory of聽finite fields such as polynomials, bases, primitive elements and several others.聽After this, we will move to more advanced topics such as characters and聽character sums and additive combinatorics which are at the forefront of current聽developments.