Functional Analysis (MATH3402)
Information valid for Semester 1, 2025
Course level
Undergraduate
Faculty
School
Mathematics & Physics School
Units
2
Duration
One Semester
Attendance mode
In Person
Class hours
Lecture 3 Hours/ Week
Practical 1 Hour/ Week
3L1P
Prerequisite
(MATH2400 or MATH2401) + (MATH2301 or MATH2000 or MATH2001)
Assessment methods
Examination, assignments
Course enquiries
Associate Professor Artem Pulemotov (Semester 1, Regular, St Lucia, In person)
Assoc Prof Artem Pulemotov
Study Abroad
This course is pre-approved for Study Abroad and Exchange students.
Current course offerings
| Course offerings | Location | Mode | Course Profile |
| Semester 1, 2025 (24/02/2025 - 21/06/2025) | St Lucia | In Person | Profile unavailable |
Please Note: Course profiles marked as not available may still be in development.
Course description
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.
