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MA4532 - Applied Functional Analysis

Offering Academic Unit
Department of Mathematics
Credit Units
3
Course Duration
One Semester
Pre-requisite(s)
(MA2503 or MA1503) and MA2508 and (MA3512 or MA3524)
Course Offering Term*:
Semester B 2024/25

* The offering term is subject to change without prior notice
 
Course Aims

This course aims at introducing basic topics of Functional Anlaysis with applications to Quantum Mechanics and partial differential equations (PDE's). Detail topics are the following:
- Hilbert and Banach spaces (Definition and basic properties)
- Operators on Hilbert Spaces
- L2 integrable functions and Fourier transforms
- Spectral Theorem
- Applications to Quantum Mechanics (optional)
- Applications to  PDE's: Fredholm Alternative (optional)


Assessment (Indicative only, please check the detailed course information)
Continuous Assessment: 40%
Examination: 60%
Examination Duration: 2 hours

40% Coursework 60% Examination (Duration: 2 hours, at the end of the semester) For a student to pass the course, at least 30% of the maximum mark for the examination must be obtained.

 
Detailed Course Information
MA4532.pdf