MATH 348 - Differential Geometry of Curves and Surfaces

3 units (fi 6)(FIRST, 3-0-0)

Frenet-Seret theory of curves in the plane and in 3-space, examples; local theory of surfaces in 3-space: first and second fundamental forms, Gauss map and Gauss curvature, geodesics and parallel transport, theorema egregium, mean curvature and minimal surfaces. Prerequisites: One of MATH 102, 125 or 127 and one of MATH 209, 215, 217, 315 or MA PH 351.

MATH 681 - Topics in Algebra

3 units (fi 6)(EITHER, 3-0-0)

MATH 241 - Geometry

3 units (fi 6)(EITHER, 3-0-0)

Basic Euclidean geometry, congruence, parallelism, area, and similarity. Sound axiomatic development with emphasis on problem solving. Constructions and loci, inequalities, maxima and minima, circles, isometries, and additional topics. Prerequisite: Any 100-level MATH course or SCI 100.