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)

MA PH 364 - Group Theory in Physics

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

Symmetries in physics; basic concepts of group theory and representation theory; finite groups; continuous groups; orthogonal and unitary groups; Lie groups; spinor representations; Lorentz and Poincare groups. Prerequisite: MATH 225 or MATH 227. Note: Credit can be obtained in at most one of MA PH 364 and MA PH 464.