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Module Detailed Information for [MA5206]
Academic Year : 2017/2018 Semester : 2
Correct as at 09 Dec 2018 20:00

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Module Information
Module Code :
Module Title : Graduate Analysis II
Module Description : This module covers basic functional analysis and selected applications. It is intended for graduate students in mathematics. Major topics: (1) Norms and seminorms, Banach and Fréchet spaces, Hahn-Banach and separation theorems, Uniform Boundedness Principle, Open Mapping and Closed Graph Theorems. (2) Dual spaces, uniformly convex and reflexive spaces, Radon-Nikodým Theorem and the dual of Lp, Banach-Alaoglu’s Theorem, Mazur’s Theorem, adjoint operators. (3) Compact operators, compactness of adjoint, spectral theory and Fredholm alternative for compact operators, application to differential equations. (4) Hilbert space and operators on Hilbert space, Lax-Milgram Theorem, Fourier series, spectral theorem for compact self-adjoint operators, application to differential equations.
Module Examinable : -
Exam Date : 02-05-2019 AM
Modular Credits : 4
Pre-requisite : MA4211 and {MA4262 or MA5205}, or departmental approval
Preclusion : NIL
Module Workload (A-B-C-D-E)* : 3-0-0-0-7
Remarks : Nil
* A: no. of lecture hours per week
B: no. of tutorial hours per week
C: no. of laboratory hours per week
D: no. of hours for projects, assignments, fieldwork etc per week
E: no. of hours for preparatory work by a student per week

Lecture Time Table
Class TypeWeek TypeWeek DayStartEndRoom

Tutorial Time Table
Attention: The tutorial timetables could be updated from time to time. Students are advised to check regularly for the latest update on the change of tutorial timing.
No Tutorial Class or to be announced. Please check with the department offering this module.

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