Postgraduate Course: MIGSAA Pure Analysis 1: Measure and Integration (MATH11166)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 11 (Postgraduate) |
Availability | Not available to visiting students |
| SCQF Credits | 15 |
ECTS Credits | 7.5 |
| Summary | This course covers Measure Theory and Lebesgue Integration. As such it provides a solid and broad foundation to the more pure aspects of mathematical analysis and places many of the techniques of applied analysis on a firm footing. Applications to fractals are included. |
| Course description |
This course covers Measure Theory and Lebesgue Integration. As such it provides a solid and broad foundation to the more pure aspects of mathematical analysis and places many of the techniques of applied analysis on a firm footing. Applications to fractals are included.
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | None |
Course Delivery Information
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| Academic year 2023/24, Not available to visiting students (SS1)
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Quota: None |
| Course Start |
Semester 1 |
Timetable |
Timetable |
| Learning and Teaching activities (Further Info) |
Total Hours:
150
(
Lecture Hours 20,
Programme Level Learning and Teaching Hours 3,
Directed Learning and Independent Learning Hours
127 )
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| Assessment (Further Info) |
Written Exam
0 %,
Coursework
100 %,
Practical Exam
0 %
|
| Additional Information (Assessment) |
Coursework: 100% |
| Feedback |
Not entered |
| No Exam Information |
Learning Outcomes
On completion of this course, the student will be able to:
- Thoroughly understand measure theory and theorems of convergence: Monotone and Dominated Convergence Theorems, Radon Nikodym theorem, L^p spaces, product measures, Riesz representation theorems, differentiation of measures.
- Appreciate applications of abstract theory of measure to fractal sets and Hausdorff dimensions.
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Additional Information
| Graduate Attributes and Skills |
Not entered |
| Special Arrangements |
*Only students of the MIGSAA CDT may take this course* |
| Keywords | Not entered |
Contacts
| Course organiser | Prof A Carbery
Tel: (0131 6)50 5993
Email: |
Course secretary | Ms Isabelle Hanlon
Tel: (0131 6)50 5955
Email: |
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