Course - Differential Forms on Manifolds - MA3402
MA3402 - Differential Forms on Manifolds
Lessons are not given in the academic year 2020/2021
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.
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".
Recommended previous knowledge
The courses TMA4190 Introduction to Topology and TMA4192 Differential Topology may be an advantage, but are not necessary. Some knowledge of analysis beyond basic calculus is an advantage.
Will be announced at the start of the course.
Credits: 7.5 SP
Study level: Second degree level
Language of instruction: English, Norwegian
- Topology and Geometry
Department with academic responsibility
Department of Mathematical Sciences
- * 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"