Overview
MATH5605 is an honours and postgraduate coursework mathematics course. It is a highly recommended course for all pure mathematics honours students. See the聽course overview聽below.
Units of credit:听6
Cycle of offering:听罢别谤尘听2听
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:聽www.unsw.edu.au/course-outlines
Course outlines contain information about course objectives, assessment, course materials and the syllabus.
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 information about the course.聽聽If you are currently enrolled in MATH5605, you can log into聽聽for this course.
Course overview
This course can be thought of as a continuation of Higher Analysis MATH3611. Functional analysis is a central pillar of modern analysis, and we will cover its foundations.
Topics from: Hilbert spaces, Banach spaces, topologies on vector spaces, bounded operators, compact operators, Banach and C*-algebras, applications including Fourier series and integral equations.
It also has a very close relationship to measure and integration theory (MATH5825).