Course - Differential Forms on Manifolds - MA3402
MA3402 - Differential Forms on Manifolds
About
Examination arrangement
Examination arrangement: Oral examination
Grade: Letter grades
Evaluation | Weighting | Duration | Grade deviation | Examination aids |
---|---|---|---|---|
Oral examination | 100/100 | D |
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. The course will be given in autumn in years of odd numbers.
Recommended previous knowledge
The courses TMA4190 Introduction to Topology and TMA4192 Differential Topology may be an advantage, but are not strictly necessary. Some knowledge of analysis beyond basic calculus is an advantage.
Course materials
Will be announced at the start of the course.
Credit reductions
Course code | Reduction | From | To |
---|---|---|---|
MNFMA317 | 7.5 |
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: AUTUMN 2023
Language of instruction: English, Norwegian
Location: Trondheim
- Topology
- Topology and Geometry
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Oral examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD Oral examination 100/100 D
-
Room Building Number of candidates - Summer UTS Oral examination 100/100 D
-
Room Building Number of candidates
- * 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.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"