Fall 2023

Introduction to Differential Geometry, lecture notes written by me for this course (heavily inspired by Michael Spivak's Comprehensive Introduction to Differential Geometry).


Midterm solutions
Final exam solutions

Class notes from online sessions: November 8 and November 10

Homework:

• Homework 1 solutions
• Homework 2 solutions
• Homework 3 solutions
• Homework 4 solutions
• Homework 5 solutions
• Homework 6 solutions
• Homework 7 solutions
• Homework 8 solutions
• Homework 9 solutions
• Homework 10 solutions

Syllabus

• Grades: Homework (50%) assigned weekly. Two take-home exams (25% each).
• Contact: Stephen.Preston@brooklyn.cuny.edu, Graduate Center room 4303.
• Office hours: Wednesday and Friday after class, 3:30 to 4:30. You may always feel free to email me for an appointment at any other time, or just show up if I'm in the office.

• Outline of a history of differential geometry, part 1 and part 2.
• Non-Euclidean geometry resources: a history, and a collection of images and links.