MATH-UA 377 Differential Geometry

4 points. Spring term only. 

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

Students must earn grades of C or higher in the following two prerequisite courses:

  1. MATH-UA 123 Calculus III or MATH-UA 129 Honors Calculus III or MATH-UA 133 Math for Economics III
  2. MATH-UA 140 Linear Algebra or MATH-UA 148 Honors Linear Algebra

Note: It is strongly recommended, but not required, that students have completed MATH-UA 325 Analysis or MATH-UA 328 Honors Analysis I before registering for MATH-UA 377 Differential Geometry. 

Course Syllabi or Websites by Semester