NMAA13029U  Algebraic Topology 1.5: Cohomology (AlgTop 1.5)

Volume 2016/2017

MSc programme in mathematics


The course is a thorough introduction to homology and cohomology, with selected applications.

The core material of this course is based on chapter 2 and 3 of the textbook Algebraic Topology by Allen Hatcher.

Learning Outcome
  • Knowledge: To display knowledge of the course topics and content, at the level of a beginning researcher.
  • Skills: To be able to use the acquired knowledge to perform computations.
  • Competencies: To be able to produce independent proofs in extension of the acquired knowledge.
Algebraic Topology (AlgTop) and Homological Algebra (HomAlg) or equivalent.
4 hours lectures and 3 hours exercise session per week for 9 weeks.
7,5 ECTS
Type of assessment
Continuous assessment
Weekly homework counting 75 % towards the grade and the 2 hours final-in class problem set counting 25 % of the grade.
Written aids allowed
Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner.

30 minutes oral exam with 30 minutes preparation time. All aids allowed during the preparation time, no aids allowed during the examination.

Criteria for exam assesment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.

  • Category
  • Hours
  • Lectures
  • 36
  • Theory exercises
  • 27
  • Preparation
  • 143
  • Total
  • 206