# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2022/2023

### Timetable information in the Course Catalogue may be subject to change.

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DRPS : Course Catalogue : School of Mathematics : Mathematics

# Undergraduate Course: General Topology (MATH10076)

 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. Course description Topological spaces. Continuous functions. Compactness, connectedness, path-connectedness. Identification spaces.
 Pre-requisites Students MUST have passed: Metric Spaces (MATH10101) 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)
 Pre-requisites Visiting students are advised to check that they have studied the material covered in the syllabus of each prerequisite course before enrolling. High Demand Course? Yes
 Academic year 2022/23, 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 0 %, Coursework 100 %, Practical Exam 0 % Additional Information (Assessment) Coursework 100% Feedback Not entered No Exam Information
 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.
 None
 Graduate Attributes and Skills Not entered Keywords GTop
 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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