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  6. MX5001: Analysis 1

MX5001: ANALYSIS 1 (2014-2015)

Last modified: 28 Jun 2018 10:27


Course Overview

This SMSTC course covers the following topics:

 Measure and integration: concrete examples (Riemann and Lebesgue);abstract theory - convergence theorems; signed, product and Radon

measures; fractal sets and Hausdorff dimension; L^p spaces,differentiation and Fourier series.

Functional analysis: Banach and Hilbert spaces; Baire category, Open Mapping and Uniform Boundedness Principle; Weak and weak* topologies; Compact operators; Spectral theory and C*-algebras.

http://www.smstc.ac.uk/streams/pure_analysis



Course Details

Study Type Postgraduate Level 5
Term First Term Credit Points 20 credits (10 ECTS credits)
Campus None. Sustained Study No
Co-ordinators
  • Professor Ran Levi

What courses & programmes must have been taken before this course?

None.

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

None.

Are there a limited number of places available?

No

Course Description

Concrete examples of both Riemann and Lebesgue integration; Abstract theory - convergence theorems; Signed, product and Radon measures; Fractal sets and Hausdorff dimension; L^p spaces; Differentiation and Fourier Series

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

More Information about Week Numbers


Details, including assessments, may be subject to change until 30 August 2024 for 1st term courses and 20 December 2024 for 2nd term courses.

Summative Assessments

One 3-hour written examination (80%); one in-course assessment (20%).

Formative Assessment

There are no assessments for this course.

Feedback

None.

Course Learning Outcomes

None.
 

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