Kursussøgning, efter- og videreuddannelse – Københavns Universitet

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Kursussøgning, efter- og videreuddannelse

Algebraic Topology 1.5: Cohomology (AlgTop 1.5)

Practical information
Study year 2016/2017
Time
Block 3
Programme level Full Degree Master
ECTS 7,5 ECTS
Course responsibles
  • Søren Galatius (8-6c667166796e7a78457266796d33707a336970)
  • Nathalie Wahl (4-7c666d71457266796d33707a336970)
  • Department of Mathematical Sciences
Course number: NMAA13029U

Course content

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.

Recommended prerequisites

Algebraic Topology (AlgTop) and Homological Algebra (HomAlg) or equivalent.

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Education

MSc programme in mathematics

Studyboard

Study Board of Mathematics and Computer Science

Course type

Single subject courses (day)

Duration

1 block

Schedulegroup

B
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Teaching and learning methods

4 hours lectures and 3 hours exercise session per week for 9 weeks.

Capacity

No limit

Language

English

Workload

Category Hours
Lectures 36
Theory exercises 27
Preparation 143
English 206

Exam

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.

Aid

Written aids allowed

Marking scale

7-point grading scale

Criteria for exam assessment

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

Censorship form

No external censorship
One internal examiner.

Re-exam

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

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