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Module Detailed Information for [MA4211]
Academic Year : 2017/2018 Semester : 2
Correct as at 30 Mar 2018 04:27

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Module Information
Module Code :
Module Title : Functional Analysis
Module Description : This course is for students who are majors in pure mathematics or who need functional analysis in their applied mathematics courses. The objective of the module is to study linear mappings defined on Banach spaces and Hilbert spaces, especially linear functionals (real-valued mappings) on L(p), C[0,1] and some sequence spaces. In particular, the four big theorems in functional analysis, namely, Hahn-Banach theorem, uniform boundedness theorem, open mapping theorem and Banach-Steinhaus theorem will be covered. Major topics: Normed linear spaces and Banach spaces. Bounded linear operators and continuous linear functionals. Dual spaces. Reflexivity. Hanh-Banach Theorem. Open Mapping Theorem. Uniform Boundedness Principle. Banach-Steinhaus Theorem. The classical Banach spaces : c0, lp, Lp, C(K). Compact operators. Inner product spaces and Hilbert spaces. Orthonormal bases. Orthogonal complements and direct sums. Riesz Representation Theorem. Adjoint operators.
Module Examinable : -
Exam Date : 02-05-2018 EVENING
Modular Credits : 4
Pre-requisite : MA3207H or MA3209
Preclusion : Nil
Module Workload (A-B-C-D-E)* : 3-1-0-0-6
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.
Class TypeWeek TypeWeek DayStartEndRoom Iteration
Available in Tutorial Balloting [Iteration 2].

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