course-details-portlet

MA3402

Analysis on Manifolds

Credits 7.5
Level Second degree level
Course start Autumn 2010
Duration 1 semester
Language of instruction English
Examination arrangement Oral examination

About

About the course

Course content

This course builds on TMA4190 Manifolds.

The goal is to introduce the fundamental concepts of differential topology. The topics to be studied are: Manifolds, tangent spaces, differential forms local and global, de Rham cohomology, Stokes theorem in n dimensions. Topological and geometric applications.



Learning outcome

Give the students an introduction to modern differential topology, showing the connection between topology and analysis and give an understanding of modern geometric reasoning.

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.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From
MNFMA317 7.5 sp
This course has academic overlap with the course in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Mathematics

Contact information

Course coordinator

Department with academic responsibility

Department of Mathematical Sciences

Examination

Examination

Examination arrangement: Oral examination
Grade: Letters

Ordinary examination - Autumn 2010

Muntlig
Weighting 100/100

Ordinary examination - Spring 2011

Muntlig
Weighting 100/100

All about examinations at NTNU