Math 109b  
Introduction to Geometry and Topology, II  
Winter 20142015  
MWF
10:00
//
257 Sloan


Instructor:
Faramarz Vafaee,
272
Sloan, 3954345, vafaee@caltech.edu
Office hour:
Monday 45 pm
Office
hour: Wednesday 56 pm, room 220 (#22) in SFL
library

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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 threedimensional 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 GaussBonnet theorem. Other important subjects we will cover include geodesics and minimal surfaces. Prerequisites: Ma 2, Ma 109a 

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.









