# Spring 2015

MATH 4250/6250 HOMEPAGE

Ted Shifrin

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### MATH 4250/6250, Differential Geometry, meets TR 9:30-10:45

**Text**: Notes by T. Shifrin, *Differential Geometry: A
First Course in Curves and Surfaces*, available from Baxter
Street Bookstore, 360 Baxter St., for approximately $12 or in .pdf form.

Other sources are:

- D. Hilbert and S. Cohn-Vossen's classic,
*Geometry and the
Imagination* (reissued by Chelsea in 1952)
- A. Gray,
*Modern Differential Geometry of Curves and
Surfaces* with
Mathematica, second edition (CRC Press, 1997) — best
for learning how to use `Mathematica` in the context of
differential geometry
- R. Millman and G. Parker,
*Elements of Differential
Geometry* (Prentice Hall 1977)
- M. DoCarmo, Differential
Geometry of Curves and Surfaces (Prentice Hall 1976)

Homework (40%) will be collected
approximately every **three** classes. There will be two **midterm
exams** (15% each) and a **final exam **(30%). On each
assignment, I will give a selection of problems, of which you must
work five; typically I will specify one or two problems of central
interest that everyone must do. There will be a few required
Mathematica explorations.

**Final exam**: Tuesday, May 5, 2015, 8–11 a.m.

**Course Syllabus**

**Mathematica
Primer**: If you
have Mathematica on your computer, this file should open in
Mathematica. If not, paste its contents into a Mathematica
notebook and ... presto ...

**A challenge:** Find **all** the (true, round) circles on
a torus of revolution.

Homework Assignment #1.

Homework Assignment #2.

Homework Assignment #3.

Homework Assignment #4.

Homework Assignment #5.

Homework Assignment #6.

Homework Assignment #7.

Homework Assignment #8.

Homework Assignment #9.

*Back to SHIFRIN'S
HOMEPAGE.*