Lectures: MW 3:30pm - 4:45pm, Hayes-Healey 129.
Office hours: Th 1pm - 2pm, or by appointment, Hurley 283.
Syllabus: We will loosely follow Lee's and do Carmo's books. We will aim to cover material in do Carmo up through chapter 10, and maybe beyond if we have time/inclination. We will cover: Riemannian metrics, connections, geodesics, curvature, submanifolds, Gauss-Bonnet theroem, Jacobi fields, curvature comparison theorems. Here is the course webpage from last time I taught the course.
Book: do Carmo, ``Riemannian geometry.'' Lee, ``Introduction to Riemannian manifolds.''
Grade: There will be one take-home midterm, and one final. Your grade will be weighted by: 50% homework, 25% midterm, 25% final.
Midterm: Will take place the week of March 27. It will be a take-home midterm. You won't have homework for that week.
Homework: There will be regular (~weekly) homework assignments. I will post the homeworks and solutions (courtesy of our grader Ilya Marchenka) here as they appear.