Math 433 Introduction to Differential Geometry

 

 

 

Renzo's Class

 

 

 

MWF 11am - 12pm

 

 

 

 

East Hall 1068

 

 

 

 

 

 

 

 

 

 

 

 

Office Hours

Syllabus

Evaluation

Homework

Exams

Are you in ship-shape with Linear Algebra and Vector Calculus? (warmup quiz)

(and solutions)

 

THE AMAZING GAUSS-BONNET THEOREM

A sequence of exploration projects that lead all the way to the proof of this remarkable result:

PART 1

PART 2

 

THE GRAN FINALE OF THE COURSE

Notes on abstract manifolds, projective space, and a quick stroll through the modern approach to differential geometry:

PART 1

PART 2

Office hours :


In case you lost yours, or don't have it at hand:
Syllabus


Once you get settled, you are warmly invited to tell me whatyou do and don't like about me and this class. I try my best to take critisicm very well.

Click here to fill up the (anonymous) evaluation form!


Individual homework: here is the suggested homework (blue) and the due to be graded homework (red) . Remember that homework is due every friday!

However, remember to do as much homework as you need. Each and everyone of us learns at its own very personal pace, and needs its own very personal amount of exercise!

DATE DUE:

 

Friday, Sept 15

  • Section 2.1: 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9. Extra: find a parametrization for the curve described by the cartesian equation y2 = x3+ x2.
Friday, Sept 22
  • Section 2.2: 2.1, 2.3, 2.4, 2.6, 2.8
  • Section 2.3: 3.1, 3.4, 3.6, 3.7
  • Section 2.4: 4.1, 4.2, 4 .4, 4.7
Friday, Sept 29
  • Section 2.4: 4.12, 4.13, 4.14 , 4.22, 4.24, 4.28, 4.29, 4.33, 4.37, 4.38
  • Section 2.5: 5.1, 5.2, 5.3, 5.4, 5.5, 5.7, 5.8
  • Section 2.6: 6.1, 6.2, 6.8, 6.9, 6.11
Friday, Oct 6 No homework! Relax after the exam!
Friday, Oct 13
  • Section 4.1: 1.1, 1.2, 1.9, 1.13, 1.14
  • Section 4.2: 2.2, 2.3
Friday, Oct 20
  • Section 4.3: 3.1, 3.2, 3.4, 3.5, 3.6
  • Section 4.4: 4.1, 4.2, 4.5, 4.6, 4.7, 4.8, 4.9, 4.10
Friday, Oct 27
  • Section 4.5: 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, 5.11
Friday, Nov 3
  • Section 4.6: 6.2, 6.3, 6.4
Friday, Nov 10
  • Section 4.7: 7.1, 7.2, 7.3, 7.4, 7.5, 7.7
  • Section 4.8: 8.1, 8.2, 8.4, 8.5, 8.8, 8.9, 8.10, 8.13
Friday, Nov 17 No homework! Relax after the exam!
Wednesday, Nov 22
  • FROM CHAPTER 6: 2.4, 2.5, 7.3, 7.4
Friday, Dec 1st
  • FROM CHAPTER 6: 3.1, 3.2, 4.1, 4.2
Friday, Dec 8th


Never forget the dates of the big exams!!! Write them on a piece of paper, tattoo them on your arm, do whatever you want, but do NOT forget them.