Ma 109b:  Introduction to Geometry and Topology (Winter 2016-17)

ANNOUNCEMENTS

The midterm will start on 1 February 11:00am and end on 6 February 10:00am.

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COURSE DESCRIPTION

In this course, we will study the differential geometry of surfaces. Geometric concepts such as orientation, metrics, connections and curvature will be introduced. Theorems that we will prove include the classification of surfaces, Gauss's Theorema Egregium and the Gauss-Bonnet theorem.


PREREQUISITES

Multivariable calculus and point set topology


SCHEDULE

MWF 10:00 - 10:55, 159 Sloan.


INSTRUCTORS

Tengren Zhang
OLGA TAUSSKY AND JOHN TODD INSTRUCTOR IN MATHEMATICS
374 Sloan
626-395-4336


TA's

Todd Norton
307 Kellogg


OFFICE HOURS

Tengren Zhang: Tuesday, Thursday, 12:00 - 12:55pm
Todd Norton: Thursday, 5:00 - 6:00pm


POLICIES

The homework will count 40% of the final grade, the midterm and final will each count 30%. The due date for homework is Friday at 10am (start of class). 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 lecture notes, graded homework sets and solutions posted online on the course webpage.
You are allowed to turn in one late homework (without penalty) in the quarter. However, you must inform me about turning in your homework late BEFORE the due date, and you must turn in the late homework within a week of the due date.


TEXTBOOKS

1) Differential Geometry of Curves and Surfaces, Manfredo Do Carmo, ISBN: 978-0-1321-2589-7
2) Introduction to Smooth Manifolds, John M. Lee, ISBN: 978-0387954486.


LECTURE NOTES

Date Description
Week 1   Week 1 Notes
Week 2   Week 2 Notes
Week 3   Week 3 Notes
Week 4   Week 4 Notes
Week 5   Week 5 Notes
Week 6   Week 6 Notes
Week 7   Week 7 Notes
Week 8   Week 8 Notes
Week 9   Week 9 Notes
Week 10   Week 10 Notes

HOMEWORK

Due Date Homework Solutions
20 January 2017    Homework 1  Homework 1 solutions
27 January 2017    Homework 2  Homework 2 solutions
10 February 2017    Homework 3  Homework 3 solutions
17 February 2017    Homework 4  Homework 4 solutions
3 March 2017    Homework 5  Homework 5 solutions
     
     
     

EXAMS

Exam Solutions
   Midterm  Midterm solutions
   Final