AGQ: Algebraic Topology MATHS5085

  • Academic Session: 2024-25
  • School: School of Mathematics and Statistics
  • Credits: 15
  • Level: Level 5 (SCQF level 11)
  • Typically Offered: Either Semester 1 or Semester 2
  • Available to Visiting Students: No
  • Collaborative Online International Learning: No

Short Description

This course will train students on in the field of algebraic topology.

Timetable

2 hour sessions weekly.

The AGQ program will be setting the timing.

 

Classroom as well as equipment for online delivery to transmit the course to Edinburgh.

Requirements of Entry

This is a non-required course for students in the AGQ programme. With permission from AGQ directors students not enrolled in AGQ may also take this course.

Excluded Courses

none

Co-requisites

none

Assessment

Normally students will complete course work.

Course Aims

This course covers several fundamental topics in Geometry & Topology, providing a solid and broad foundation to the subject and its interactions with algebra and analysis. The course discusses the fundamental group and covering spaces, homology and studies differentiable manifolds.

Intended Learning Outcomes of Course

On completion of this course, the student will be able to: • Thoroughly understand the applications of topology to the local and global geometry of manifolds. • Solve problems involving homotopy groups, singular homology, and numerous functorial invariants of topological spaces.

Minimum Requirement for Award of Credits

Students must submit at least 75% by weight of the components (including examinations) of the course's summative assessment.