Undergraduate Course: Metric Spaces (MATH10049)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Available to all students |
| Credit level (Normal year taken) | SCQF Level 10 (Year 3 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | Specialist Mathematics & Statistics (Honours) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html |
Taught in Gaelic? | No |
| Course description | Optional course for Honours Degrees involving Mathematics and/or Statistics. Syllabus summary: Countable sets; open and closed subsets of R; analysis on Rk, open and closed sets; metric spaces, open and closed sets, limits, continuity, equivalent metrics, path-connectedness; completeness, contraction mapping theorem and applications; compactness. |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
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| Delivery period: 2012/13 Semester 1, Available to all students (SV1)
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WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| King's Buildings | Lecture | Th B, JCMB | 1-11 | 16:10 - 17:00 | | | | | | King's Buildings | Lecture | Th B, JCMB | 1-11 | | | | 16:10 - 17:00 | |
| First Class |
First class information not currently available |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
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| Main Exam Diet S2 (April/May) | Metric Spaces | 2:00 | | |
Summary of Intended Learning Outcomes
1. Facility in working with concrete metric spaces based upon Rk and C[a,b] (with various metrics) and the discrete metric.
2. An ability to perform simple abstract arguments involving metric spaces.
3. An ability to demonstrate an understanding of notions such as openness, closedness, continuity, completeness, equivalence of metrics, compactness and path-connectedness as applied in the context of general and specific metric spaces.
4. An appreciation of the contraction mapping theorem and some of its easier applications.
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Assessment Information
Examination only.
Visiting Student Variant Assessment
Examination (100%) |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
http://www.readinglists.co.uk |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | MSp |
Contacts
| Course organiser | Dr Aram Karakhanyan
Tel: (0131 6)50 5056
Email: |
Course secretary | Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: |
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