Introduction to differential geometry, fall 2015
Introduction to differential geometry, fall 2015
Teacher: Ilkka Holopainen
Scope: 10 cr
Type: Advanced studies
Teaching: Weeks 36-42 and 44-50, Wednesday 10-12 and Thursday 10-12 in room C123. First lecture on Wednesday, September 2.
Topics:
- Smooth manifolds
- Smooth mappings
- Tangent vectors, tangent bundle
- Cotangent bundle
- Tensors
- Differential forms
- Integration on manifolds
- De Rham cohomology
- Integral curves and flows
- Lie derivatives
- Lie algebras and Lie groups
Prerequisites: Vector analysis, topology, linear algebra, differential equations
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News
Teaching schedule
Weeks 36-42 and 44-50, Wednesday 10-12 and Thursday 10-12 in room C123.
First lecture on Wednesday, September 2.
Last lecture on Thursday, December 3.
Exams
The course can be passed by an exam. First possibilities are on December 10 or December 21.
Course material
John M. Lee: Introduction to smooth manifolds, Springer, 2003.
I. Holopainen: Johdatus differentiaaligeometriaan, (in Finnish).
Registration
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Exercises
Assignments and solutions
Exercise classes
Group | Day | Time | Room | Instructor |
---|---|---|---|---|
1. | Monday | 10-12 | B321 | Elefterios Soultanis |
You will get extra credit points by solving the home work exercises:
25% = +1p, 35% = +2p, 45% = +3p, 55% = +4p, 65% = +5p ja 75% = +6p.
Course feedback
Course feedback can be given at any point during the course. Click here.