Manifolds

Study facts

Course codeMAT243
ECTS credits10
Teaching semesterSpring
Number of semesters1
Teaching language
English
Study levelPostgraduate Courses
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.

Semester of Instruction

Spring

Required Previous Knowledge

None

Recommended Previous Knowledge

MAT121 Linear Algebra and MAT212 Functions of Several Variables

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.