Math 109b
 
Introduction to Geometry and Topology, II
Winter 2014-2015
 
MWF 10:00 // 257 Sloan
Course Description | Policies | Textbook | Lecture Notes| Handouts | Homework

Instructor: Faramarz Vafaee, 272 Sloan, 395-4345, vafaee@caltech.edu
Office hour: Monday 4-5 pm

Grader: Tian Nie
Office hour: Wednesday 5-6 pm, room 220 (#2-2) in SFL library


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Course Description
 
This is the second course in the 109 sequence, and is an introduction to differential geometry. The goal is to understand the differential geometry of curves and surfaces in three-dimensional space. This includes both local and global geometry. We will introduce basic geometric concepts as length, area, curvature and torsion. We will prove deep theorems like Gauss's Theorema Egregium and Gauss-Bonnet theorem.

Other important subjects we will cover include geodesics and minimal surfaces.

Prerequisites: Ma 2, Ma 109a



Policies
 

The homework will count 40% of the final grade, the midterm and final will each
count 30%. The due date for homework is Thursday, 2 pm.
One late homework will be accepted. You should inform the instructor in advance 
in this case and bring it in a week after a due date.
Collaboration is allowed for the homework but you have to write your own solution. 
Collaboration for midterm and final exams is not allowed.
You can use the textbook, lecture notes, graded homework sets and solutions 
posted online on the course webpage.



Textbook
 

  • Differential Geometry of Curves and Surfaces, Manfredo Do Carmo, ISBN:
    0132125897

  • Elementary Differential Geometry, Second Edition, Barrett O'Neill


 
Lecture Notes
 

Date Description 
TBA TBA

Handouts
 

Date Description 
TBA TBA

Homework


Due Assignment
Thursday 1/15 Homewrok set 1
Thursday 1/22 Homewrok set 2
Thursday 1/29 Homewrok set 3
Tuesday 2/10 Midterm Exam
Thursday 2/26 Homework Set 4
Thursday 3/5 Homework set 5
Thursday 3/12 Homework set 6
Wednesday 3/18 Final Exam






 Last update:  Nov 17, 2012 | © California Institute of Technology | Questions?  kaubry @ caltech.edu