MATH5605 is an honours and postgraduate coursework mathematics course. It is a core 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.
This recent course handout (PDF) contains information about course objectives, assessments, course materials and the syllabus.
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 MATH5605, you can log into UNSW Moodle for this course.
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.
The main focus of the course will be to study the properties of bounded linear maps between topological linear spaces of various kinds. This provides the basic tools for the development of areas such as quantum mechanics, harmonic analysis and stochastic calculus. It also has a very close relationship to measure and integration theory (MATH5825).