course-details-portlet

MA3402 - Differential Forms on Manifolds

About

Lessons are not given in the academic year 2020/2021

Course content

This course deals with the study of differential forms and vector analysis on manifolds. It will develop de Rham theory as a tool to study the topology of manifolds. The topics to be studied are: Manifolds, tangent spaces, exterior algebras and differential forms (local and global), de Rham cohomology, orientation, integration and Stokes's theorem, and applications.

Learning outcome

1. Knowledge. The student has knowledge of fundamental concepts and methods concerning differential forms, de Rham cohomology and integration on manifolds.

2. Skills. The student is able to apply his or her knowledge of de Rham theory to formulate and solve problems of a topological nature.

Learning methods and activities

The course will be given in English if the course is attended by students who don't master a Scandinavian language. If the course is taught in English, the exam will be given only in English. Oral examination, unless agreed otherwise. The course will be given in autumn in years of odd numbers.

Further on evaluation

In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation, see "Teaching methods and activities".

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
MNFMA317 7.5
More on the course
Facts

Version: 1
Credits:  7.5 SP
Study level: Second degree level

Coursework

No

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Topology
  • Topology and Geometry
  • Mathematics
Contact information

Department with academic responsibility
Department of Mathematical Sciences

Phone:

Examination

  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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