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:
Honours Analysis (MATH10068)
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | It is strongly advised that students have also taken Metric Spaces (MATH10101)
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Information for Visiting Students
| Pre-requisites | This is a Year 4, Honours level course. Visiting students are expected to have an academic profile equivalent to the first three years of the BSc (Hons) Mathematics programme (UTMATHB). Students should have passed courses equivalent to Honours Analysis (MATH10068). It is also strongly advised that students have taken a course equivalent to Metric Spaces (MATH10101).
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| High Demand Course? |
Yes |
Course Delivery Information
|
| Academic year 2025/26, 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 |
Minutes |
|
| Main Exam Diet S2 (April/May) | MATH10076 General Topology | 120 | |
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| Academic year 2025/26, 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 |
Minutes |
|
| Main Exam Diet S1 (December) | General Topology (MATH10076) for S1 Visiting Students only | 120 | |
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.
- 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 | Dr Clark Barwick
Tel: (0131 6)50 5073
Email: Clark.Barwick@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
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