Courses: MAT243 Manifolds - Spring 2017
Credits
10.0Language of Instruction
English
Teaching semester
Spring
Learning Outcomes
After completed course, the students are expected to be able to- Explain elementary concepts like charts and atlases
- Calculate in local coordinates
- Describe tangent vectors in terms of derivations and/or equivalence classes of curves
- Explain concepts like rank and regular value
- Describe the main ideas in central proofs, for instance give a sketch of why compact manifolds can be embedded in Euclidean spaces.
Required Previous Knowledge
Recommended Previous Knowledge
MAT121 Linear Algebra, MAT212 Functions of Several Variables and MAT242 Topology
Forms of Assessment
Oral examination
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
Contact Information
advice@math.uib.no