MATH5615 is an honours and postgraduate coursework mathematics course. See the course overview below.

Units of credit: 6

Prerequisites: Real Analysis, Functional Analysis.

Cycle of offering: Term 2  Not offered every year

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

The course outline (PDF) contains information about course objectives, assessments, 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. The timetable is only up-to-date if the course is being offered this year.

If you are currently enrolled in MATH5615, you can log into UNSW Moodle for this course.

Course overview

The course is aimed at proving the spectral theorem for normal operators on Hilbert space. Along the way, you will be exposed to many ideas and tools that are useful in other branches of analysis and mathematical physics, including spectrum, commutative Banach algebras, the Gelfand transform, C* algebras and their representations.