MATH5605 is an honours and postgraduate coursework mathematics course. It is a highly recommended course for all pure mathematics honours students. See the course overview below.

Units of credit: 6

Cycle of offering: Term 2 

Graduate attributes: The course will enhance your research, inquiry and analytical thinking abilities.

More information: The Course outline will be made available closer to the start of term - please visit this website: 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

UNSW Plagiarism Policy

The University requires all students to be aware of its policy on plagiarism.

For courses convened by the 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.

The online handbook entry contains information about the course.  If you are currently enrolled in MATH5605, you can log into UNSW Moodle 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).