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Searched for: "18.950"    Subjects offered any term

1 subject found.

18.950 Differential Geometry

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(Subject meets with 18.9501)
Prereq: 18.100A, 18.100B, 18.100P, or 18.100Q; 18.06, 18.700, or 18.701
Units: 3-0-9
http://math.mit.edu/classes/18.950/2016fa/index.html
Lecture: MW9.30-11 (2-143)

Introduction to differential geometry, centered on notions of curvature. Starts with curves in the plane, and proceeds to higher dimensional submanifolds. Computations in coordinate charts: first and second fundamental form, Christoffel symbols. Discusses the distinction between extrinsic and intrinsic aspects, in particular Gauss' theorema egregium. The Gauss-Bonnet theorem. Geodesics. Examples such as hyperbolic space.
B. Wilson
Textbooks (Spring 2018)