Manifolds

Study facts

Course codeMAT243
ECTS credits10
Teaching semesterVår
Teaching language
English
Study levelPostgraduate Courses
Number of semesters1
Resources
Belongs toDepartment of Mathematics

Contact

Contact Information

advice@math.uib.no

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.

Course offered (semester)

Spring

Pre-requirements

None

Recommended previous knowledge

MAT121 Linear Algebra and MAT212 Functions of Several Variables

Assessment methods

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.