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SF2722 Differential Geometry 7.5 credits

Administer About course

An introduction to differential geometry

Information per course offering

Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.

Termin

Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus SF2722 (Spring 2022–)
Headings with content from the Course syllabus SF2722 (Spring 2022–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Differentiable manifolds and mappings, tangent vectors, Riemannian metrics, curvature.

Intended learning outcomes

After the course the student should be able to

  • formulate central definitions and theorems within the topic of the course,
  • apply and generalize theorems and methods within the topic of the course,
  • describe, analyze and formulate basic proofs within the topic of the course,

in order to provide familiarity with concepts and results in differential geometry which can form a basis for further study of the subject and its applications.

Literature and preparations

Specific prerequisites

English B / English 6
Completed course SF1677 Foundations of Analysis. 

Recommended prerequisites

SF2700 Analysis and knowledge of several variable calculus, or corresponding background.

Literature

You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

A, B, C, D, E, FX, F

Examination

  • TEN1 - Examination, 7.5 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

The examiner decides, in consultation with KTHs Coordinator of students with disabilities (Funka), about any customized examination for students with documented, lasting disability. The examiner may allow another form of examination for re-examination of individual students.

Examiner

Profile picture Klaus Kröncke

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

SCI/Mathematics

Main field of study

Mathematics

Education cycle

Second cycle