Description: Manifolds are a generalization of curves and surfaces. They are objects in themselves, but may also be considered as certain subsets of Euclidean space – as in Manifold Learning.

This is a short introduction. We will focus on embedded smooth manifolds and their properties as revealed through maps to and from them, tangent spaces etc. The participants are evaluated during each lecture by solving exercises which provide and prove an understanding of the presented theory. In order to pass the course, the exercises should be satisfactory evaluated.

Organiser: Professor Martin Raussen , e-mail: raussen@math.aau.dk

Lecturers: Professor Martin Raussen, Department of Mathematical Sciences, Aalborg University

ECTS:  1.0

Time: 9, 10, 11 March at 8.15-12.00

Place: Aalborg University, Skjernvej 4A, room 2.120

Deadline: 24 February 2020

Important information concerning PhD courses: We have over some time experienced problems with no-show for both project and general courses. It has now reached a point where we are forced to take action. Therefore, the Doctoral School has decided to introduce a no-show fee of DKK 5,000 for each course where the student does not show up. Cancellations are accepted no later than 2 weeks before start of the course. Registered illness is of course an acceptable reason for not showing up on those days. Furthermore, all courses open for registration approximately four months before start. This can hopefully also provide new students a chance to register for courses during the year. We look forward to your registrations.