MATS1970 Differential geometry on manifolds (4 cr)
Study level:
Advanced studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023, 2023-2024
Description
Differentiable manifolds, tangent bundles, tensor fields, differential forms.
Learning outcomes
After passing the course successfully the student
- can determine the tangent bundle of a given submanifold
- knows the abstract version of concepts such as the tangent bundle and cotangent bundle
- can handle differential forms
Description of prerequisites
Introduction to manifolds
Literature
- John M. Lee:Introduction to smooth manifolds. Graduate Texts in Mathematics 218, Springer, 2006. ISBN 978-0-387-95448-6
Completion methods
Method 1
Evaluation criteria:
Course exam and exercises
Select all marked parts
Method 2
Evaluation criteria:
Final exam
Select all marked parts
Parts of the completion methods
x
Participation in teaching (4 cr)
Type:
Participation in teaching
Grading scale:
0-5
Language:
English, Finnish
Teaching
10/23–12/17/2023 Lectures
12/14–12/14/2023 Course Exam
1/19–1/19/2024 Course exam
x
Exam (4 cr)
Type:
Exam
Grading scale:
0-5
Language:
English, Finnish