‘18.965: Geometry and Manifolds I’

Table of contents

  1. Course Info
  2. Realistic Prerequisites
  3. Subject Matter
  4. Course Staff
  5. Lectures
  6. Problem Sets
  7. Exams
  8. Resources
  9. Grading
  10. Advice to Future Students

Course Info

Class Size 31
Hours/Week 9.7 (18 responses)
Instructors William Minicozzi
Overall Rating 5.8/7.0

Realistic Prerequisites

  • Basic real analysis, topology, and linear algebra.

Subject Matter

  • Students described the subject matter as theoretical and foundational.

Course Staff

  • Professor Minicozzi and the course TA were very approachable.
  • Office hours were very helpful.


  • Students mentioned that lectures were well-organized and clear.
  • Lectures for this class were a great resource in learning.

Problem Sets

  • The problem sets usually had high variance in difficulty and length, but were generally solvable in groups and office hours.
  • A few students mentioned that problem sets were computational and relatively straightforward especially supplemented with office hours.


  • No exams!


  • Textbook: do Carmo’s Riemannian Geometry.
  • Several students also mentioned using a textbook that Minicozzi was currently writing.


  • Grading was described as mostly lenient and fair.

Advice to Future Students

  1. “Attend lectures and discuss the class content with someone else.”
  2. “This was a non-killer class that made me feel confident in differential geometry, so I would recommend.”
  3. ”The material in this class is essential for anyone interested in Riemannian geometry. I highly recommend taking it, and thinking carefully through everything that is discussed in class.”