Geometry II


An introduction to the differential geometry of curves and surfaces.


Topics in Modern Geometry, a coursepak by Saul Stahl.


MATH 660 or permission of instructor.

Credit Hours: 


  1. Surfaces in R : Tangent planes, Gaussian curvature, the First Fundamental Form, Sectional curvatures, Geodesics, Gauss's theorem for geodesic polygons, polyhedral surfaces, intrinsic geometry.
  2. Rudiments of Riemannian geometry: Riemann metrics, geodesics, isometries, curvature.
  3. Non-Euclidean geometry: The geometry of the upper-halfplane, neutral geometry, the half-plane theorem of Pythagoras, isometries of the half-plane.
  4. Topics in spherical geometry and the geometry of complex numbers.

(Stahl 2010 )

Even Spring Semesters Only

Events Calendar

Using Math

Nicole Johnson found a way to express her baton twirling using math.  See video.