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, MATH-UA 129 Honors Calculus III OR MATH-UA 133 Math for Economics III with a grade of C or higher AND MATH-UA 140 Linear algebra OR MATH-UA 148 Honors Linear Algebra with a grade of C or higher. Recommended: MATH-UA 325 Analysis or MATH-UA 328 Honors Analysis I.