Undergraduate Course: General Topology (MATH10076)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 10 (Year 4 Undergraduate) |
Availability | Available to all students |
| SCQF Credits | 10 |
ECTS Credits | 5 |
| Summary | This course will introduce students to essential notions in topology, such as topological spaces, continuous functions, and compactness.
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| Course description |
Topological spaces. Continuous functions. Compactness, connectedness, path-connectedness. Identification spaces.
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
Students MUST have passed:
Metric Spaces (MATH10101)
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | A pass in Honours Analysis (MATH10068) in 2020-21 or earlier is an acceptable substitute for a pass in Metric Spaces (MATH10101)
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Information for Visiting Students
| Pre-requisites | Visiting students are advised to check that they have studied the material covered in the syllabus of each prerequisite course before enrolling.
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| High Demand Course? |
Yes |
Course Delivery Information
|
| Academic year 2023/24, Available to all students (SV1)
|
Quota: None |
| Course Start |
Semester 1 |
Timetable |
Timetable |
| Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 5,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
69 )
|
| Assessment (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
|
| Additional Information (Assessment) |
Coursework 20%
Exam 80% |
| Feedback |
Not entered |
| Exam Information |
| Exam Diet |
Paper Name |
Hours & Minutes |
|
| Main Exam Diet S2 (April/May) | MATH10076 General Topology | 2:00 | |
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| Academic year 2023/24, Part-year visiting students only (VV1)
|
Quota: None |
| Course Start |
Semester 1 |
Timetable |
Timetable |
| Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
98 )
|
| Assessment (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
|
| Additional Information (Assessment) |
Coursework 20%
Exam 80% |
| Feedback |
Not entered |
| Exam Information |
| Exam Diet |
Paper Name |
Hours & Minutes |
|
| Main Exam Diet S1 (December) | General Topology (MATH10076) for S1 Visiting Students only | 2:00 | |
Learning Outcomes
On completion of this course, the student will be able to:
- State and prove standard results regarding topological spaces and continuous functions, and decide whether a simple unseen statement about them is true, providing a proof or counterexample as appropriate.
- 2. Calculate simple topological invariants, such as the number of path components.
- State and prove standard results regarding compact and/or connected topological spaces, and decide whether a simple unseen statement about them is true, providing a proof or counterexample as appropriate.
- Provide an elementary example illustrating specified behaviour in relation to a given combination of basic definitions and key theorems across the course.
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Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | GTop |
Contacts
| Course organiser | Prof A Carbery
Tel: (0131 6)50 5993
Email: A.Carbery@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
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