Undergraduate Course: Metric Spaces (Ord) (MATH09009)
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 9 (Year 3 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Ordinary) |
| Course website |
http://student.maths.ed.ac.uk
|
Taught in Gaelic? |
No |
| Course description |
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
|
| Delivery period: 2010/11 Semester 1, Available to all students (SV1)
|
WebCT enabled: No |
Quota: 0 |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| King's Buildings | Lecture | | 1-11 | | | | | 10:00 - 10:50 | | King's Buildings | Lecture | | 1-11 | | 10:00 - 10:50 | | | |
| First Class |
Week 1, Monday, 10:00 - 10:50, Zone: King's Buildings. Joseph Black Building, Lecture Theatre 100, G.009 |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
Stationery Requirements |
Comments |
| Main Exam Diet S2 (April/May) | | 2:00 | 16 sides. No YAF | c/w U01630 | | Resit Exam Diet (August) | | 2:00 | 16 sides. No YAF | |
Summary of Intended Learning Outcomes
The following are the learning objectives for the Honours version, MAT-3-MSp; for this (Ordinary) version there is more emphasis on the technical, rather than conceptual elements, which will be reflected by a different examination.
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. |
Assessment Information
Coursework: 15%; Degree Examination: 85%.
|
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords |
Not entered |
Contacts
| Course organiser |
Dr Adri Olde-Daalhuis
Tel: (0131 6)50 5992
Email: A.OldeDaalhuis@ed.ac.uk |
Course secretary |
Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk |
|
copyright 2011 The University of Edinburgh -
13 January 2011 6:20 am
|
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