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Algebraic Topology 1.5: Cohomology (AlgTop 1.5)
Provider: Faculty of Science

Activity no.: 5589-20-07-31 
Enrollment deadline: 29/01/2020
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time03.02.2020, at: 09:00 - 03.04.2020, at: 16:00
Regular seats50
ECTS credits75.00
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserNathalie Wahl    E-mail address: wahl@math.ku.dk
Teaching languageEnglish partially in English
Semester/BlockBlock 3
Scheme groupB
Exam formContinuous assessment
Exam detailsWeekly homework counting 50 % towards the grade and a 2 hours 'closed-book' final in-class problem set counting 50 % of the grade. All aids allowed for the weekly homework. No books and no electronic aids are allowed for the 2 hours final exam. Personally created handwritten notes on paper are allowed.
Exam aidsOnly certain aids allowed
Grading scale7 point grading scale
Criteria for exam assessmentThe student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.
Exam re-examination30 minutes oral exam with 30 minutes preparation time. All aids allowed during the preparation time, no aids allowed during the examination.
Course workload
Course workload categoryHours
Lectures36.00
Theory exercises27.00
Preparation143.00
Sum206.00
Content
The course is a thorough introduction to homology and cohomology, with selected applications.

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.

Literature
Parts of chapter 2 and 3 of the textbook Algebraic Topology by Allen Hatcher.

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

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