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Education

postgraduate

Manifolds

  • ECTS credits10
  • Teaching semesterSpring
  • Course codeMAT243
  • Number of semesters1
  • LanguageEnglish
  • Resources

Semester of Instruction

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

None

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

Contact Information

advice@math.uib.no