This page is for the academic year 2021-22. The current handbook year is 2022-23
Department: Mathematical Sciences
ALGEBRAIC TOPOLOGY IV
||Available in 2021/22
- Mathematics modules to the value of 100 credits in Years 2
and 3, with at least 40 credits at Level 3 and including Topology III
Excluded Combination of Modules
- Provide a deeper knowledge in the field of topology (a balanced
introduction having been provided in Topology III (MATH3281)).
- Homotopy theory of cell complexes.
- Fundamental group.
- Covering spaces.
- Elements of homological algebra.
- Homology theory of topological spaces.
- Homotopy groups.
- Have a knowledge and understanding of topology demonstrated through the following topic areas:
- the fundamental group;
- the homology groups and their ranks;
- homotopy theory;
- homological algebra.
- Have developed advanced technical and scholastic skills in
the areas of Topology and Algebra.
- Have highly specialised skills in the following area: Spatial
awareness and Abstract reasoning.
Modes of Teaching, Learning and Assessment and how these contribute to
the learning outcomes of the module
- Lectures demonstrate what is required to be learned and the
application of the theory to practical examples.
- Subject material assigned for independent study develops the
ability to acquire knowledge and understanding without dependence on
- Assignments for self-study develop problem-solving skills and
enable students to test and develop their knowledge and
- Formatively assessed assignments provide practice in the
application of logic and high level of rigour as well as feedback for
the students and the lecturer on students' progress.
- The end-of-year examination assesses the knowledge acquired
and the ability to solve complex and specialised problems.
Teaching Methods and Learning Hours
||2 per week for 20 weeks and 2 in term 3
||Four in each of terms 1 and 2
|Preparation and Reading
||Component Weighting: 100%
||Length / duration
■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University