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.
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: Honours Analysis (MATH10068)	Co-requisites
Prohibited Combinations		Other requirements	It is strongly advised that students have also taken Metric Spaces (MATH10101)

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.
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

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.