MATS1960 Introduction to manifolds (4 cr)

Manifolds; differentiable mappings; tangent space; tangent mapping ("push forward"); sub manifolds; vector fields.

After passing the course successfully the student

• knows examples of abstract manifolds
  
• can justify the smoothness of a given submanifold
• knows the abstract version of concepts such as the tangent space and tangent mapping
• knows the concepts of a vector field and its integral curve

Vector analysis 1 and 2 or Differential geometry of curves and surfaces; Topology