Differential topology and Morse theory (MAGIC002)
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The course will give an introduction to Morse Theory. This theory studies the topology of smooth manifolds through real-valued smooth functions whose critical points satisfy a certain non-degeneracy condition. We will investigate how the homotopy type is related to critical points and how the homology of a manifold can be calculated through Morse functions.
Autumn 2012 (Monday, October 8 to Friday, December 14)
Basic knowledge of Differentiable Manifolds and Algebraic Topology is necessary. This can be obtained through the Core Courses MAGIC063 and MAGIC064.
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The Assessment for this course will be via a take-home examination, to be taken during the official assessment period between 7th and 18th of January 2013. The examination will consists of five questions, and you will need to obtain 40% to pass the course.
Final Examination for Differential Topology and Morse Theory
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