MATH-UA 377 Differential Geometry


4 points. Offered in the spring.

Course Description

The geometry of curves and surfaces in Euclidean space. Frenet formulas, the isoperimetric inequality, local theory of surfaces in Euclidean space, first and second fundamental forms. Gaussian and mean curvature, isometries, geodesics, parallelism, the Gauss-Bonnet Theorem.

Prerequisites

MATH-UA 123 Calculus III and MATH-UA 140 Linear algebra or MATH-UA 148 Honors Linear Algebra. Recommended: MATH-UA 325 Analysis or MATH-UA 328 Honors Analysis I.

Course Syllabi or Websites by Semester