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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)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 10 (Year 4 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryThis 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.
Entry Requirements (not applicable to Visiting Students)
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)
Information for Visiting Students
Pre-requisitesVisiting 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
Course Delivery Information
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
Learning Outcomes
On completion of this course, the student will be able to:
  1. 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. 2. Calculate simple topological invariants, such as the number of path components.
  3. 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.
  4. Provide an elementary example illustrating specified behaviour in relation to a given combination of basic definitions and key theorems across the course.
Reading List
None
Additional Information
Graduate Attributes and Skills Not entered
KeywordsGTop
Contacts
Course organiserDr Clark Barwick
Tel: (0131 6)50 5073
Email: Clark.Barwick@ed.ac.uk
Course secretaryMrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk
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