Courses :: Module, TOPICS IN REAL ANALYSIS

	Overview
	Module Objective: To give a rigorous course in real analysis. Selected topic in real analysis or geometric analysis. Likely topics could include Measure Theory, L^p spaces, Banach Spaces, continuous linear transformations, Hahn-Banach theorem, Open Mapping Theorem, Closed Graph Theorem, Uniform Boundedness Principle, Hilbert Spaces, Orthogonality, Orthonormal sets, dual space.

Overview

Module Objective:
To give a rigorous course in real analysis.

Selected topic in real analysis or geometric analysis. Likely topics could include Measure Theory, L^p spaces, Banach Spaces, continuous linear transformations, Hahn-Banach theorem, Open Mapping Theorem, Closed Graph Theorem, Uniform Boundedness Principle, Hilbert Spaces, Orthogonality, Orthonormal sets, dual space.

	Learning Outcomes
	On successful completion of the module, students should be able to: State some of the classical theorems in of real analysis. Prove any of the theorems given in the course. Deduce properties which follow from these theorems. Prove analytic results using rigorous arguments.

Learning Outcomes

	Autumn Supplementals/Resits
	No autumn repeat.

Autumn Supplementals/Resits

	Pre-Requisites
	Real Analysis

Pre-Requisites

	Timetable
	This timetable is not currently available, please contact the Mathematics And Statistics Department.

Timetable

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TOPICS IN REAL ANALYSIS