Course level

Postgraduate Coursework

Faculty

Science

School

Mathematics & Physics School

Units

2

Duration

One Semester

Attendance mode

In Person

Class hours

Lecture 3 Hours/ Week
Practical 1 Hour/ Week
3L 1P

Incompatible

MATH3402, MATH7404, MATH4404

Prerequisite

Knowledge equivalent to (MATH7400 or MATH7407) + (MATH7307 or MATH7000)

Assessment methods

Examination

Assignment

Course enquiries

Associate Professor Artem Pulemotov (Semester 1, Regular, St Lucia, In person)

Associate Professor Artem Pulemotov

Current course offerings

Course offerings Location Mode Course Profile
Semester 1, 2025 (24/02/2025 - 21/06/2025) St Lucia In Person Course Profile

Please Note: Course profiles marked as not available may still be in development.

Course description

This course will be available to study from 2022. Topological spaces: compactness, continuity, separation axioms, Baire category theorem. Classical linear functional analysis: Banach and Hilbert spaces, linear functionals, L^p spaces (as completions), Riesz representation theorem, uniform boundedness principle, dual spaces, weak convergence, Hahn-Banach theorem, bounded operators, open mapping theorem, spectrum and resolvent.

Archived offerings

Course offerings Location Mode Course Profile
Semester 1, 2024 (19/02/2024 - 15/06/2024) St Lucia In Person Course Profile
Semester 1, 2023 (20/02/2023 - 17/06/2023) St Lucia In Person Course Profile
Semester 1, 2023 (20/02/2023 - 17/06/2023) External External Course Profile
Semester 1, 2022 (21/02/2022 - 21/06/2022) St Lucia Internal Course Profile
Semester 1, 2022 (21/02/2022 - 21/06/2022) St Lucia External Course Profile