Course - Analysis on Manifolds - MA3402
MA3402 - Analysis on Manifolds
About
Examination arrangement
Examination arrangement: Oral examination
Grade: Letters
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Muntlig | 100/100 |
Course content
The course deals with fundamental concepts from differential topology, providing a connection between topology and analysis and an understanding of modern geometric reasoning. The topics to be studied are: Manifolds, tangent spaces, differential forms local and global, de Rham cohomology, Stokes's theorem in n dimensions. Topological and geometric 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 differential topology to formulate and solve problem of an analytic-geometrical nature in mathematics, theoretical physics and cybernetics, through the use of integration on manifolds and other tools.
Learning methods and activities
Lectures, exercises and projects. The final grade is based 100% on the final exam.
The lectures will be given in English if they are attended by students
from the Master's Programme in Mathematics for International students.
Recommended previous knowledge
TMA4190 Manifolds may be an advantage,but not 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 2014
Language of instruction: English, Norwegian
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- 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 Muntlig 100/100
-
Room Building Number of candidates - Summer KONT Muntlig 100/100 2015-08-07
-
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"