Riemannian Geometry I
4.0
creditsAverage Course Rating
This course is a graduate-level introduction to foundational material in Riemannian Geometry. Riemannian manifolds, a smooth manifold equipped with a Riemannian metric. Topics include connections, geodesics, Jacobi fields, submanifold theory including the second fundamental form and Gauss equations, manifolds of constant curvature, comparison theorems, Morse index theorem, Hadamard theorem and Bonnet-Myers theorem.
Fall 2012
Professor: Hans Lindblad, Yuan Yuan
Students enjoyed learning about different areas of mechanical engineering from experts in the field. They also liked learning to use MATLAB, which would be useful for future courses. Students said some of the lectures were boring and some of the material was too easy. They also said the lecture topics were disjointed from class to class. Students suggested doing more MATLAB demonstrations in class and covering more advanced material. This course may be useful to students who are unsure of whether they want to study mechanical engineering. While the MATLAB component may be chal enging, the course is overall not difficult, as it doesn’t cover the material in much depth.