MAU34202 Algebraic topology II

Module Code	MAU34202
Module Title	Algebraic topology II
Semester taught	Semester 2
ECTS Credits	5
Module Lecturer	Prof. Sergey Mozgovoy
Module Prerequisites	MAU22200 Advanced analysis (required) MAU34201 Algebraic topology I (recommended)

This module is examined in a 2-hour examination at the end of Semester 2.
Continuous assessment contributes 15% towards the overall mark.
Any failed components are reassessed, if necessary, by an exam in the reassessment session.
The module is passed if the overall mark for the module is 40% or more. If the overall mark for the module is less than 40% and there is no possibility of compensation, the module will be reassessed as follows:
1) A failed exam in combination with passed continuous assessment will be reassessed by an exam in the supplemental session;
2) The combination of a failed exam and failed continuous assessment is reassessed by the supplemental exam;
3) A failed continuous assessment in combination with a passed exam will be reassessed by one or more summer assignments in advance of the supplemental session.

11 weeks of teaching with 3 lectures per week.

On successful completion of this module, students will be able to

Justify with reasoned logical argument basic properties of simplicial complexes and their homology groups.
Determine the homology groups of simplicial complexes for which the number of simplices is small.
Justify with reasoned logical argument basic properties of chain complexes and their homology.
Employ exact sequences of homology groups in order to derive information on the homology groups of simplicial complexes.