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

CTE course transformation grant helps Emily Witt, assistant professor of math, develop active learning with student groups in calculus.  Positive results using modules developed with Justin Lyle and Amanda Wilkens, math graduate students, were attained.  Read more

Math and COVID-19: Sources on how math is being used to track the virus and its spread.  AMS link.

A mathematician-musician's breakthrough melds East, West. Read more.

Researcher's innovative approach to flood mapping support emergency management and water officials. Read more.

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