
COURSE DESCRIPTION

QUESTIONS FOR THE FINAL EXAM

FINAL EXAM TICKETS

COMPLETE COURSE NOTES by Vaughn Climenhaga
OTHER COURSE MATERIALS

Solutions and comments on the midterm problems

Notes on hyperbolic geometry by Svetlana Katok
From ``A First Course in Dynamics'' by B. Hasselblatt and A. Katok

Contractions in Euclidean Space

Contractions in Metric Spaces

Inverse and Implicit Function Theorems

Basic material in ODE
Adapted from KatokSossinsky forthcoming book

Topological and metric spaces and manifolds

Topological classification of surfaces

Differentiable manifolds
HOMEWORK ASSIGNMENTS
Homework is normally given on Fridays and is due the following Friday.
Homework may include optional problems of greater difficulty with extended deadlines.
Homework may be turned in either on paper or electronically (tex/pdf). Students are encouraged to
use the second option.
Homework is graded by the course TA Vaughn Climenhaga climenha@math.psu.edu within a week after the due date.

Homework N1; Due on Friday, August 31, and Wednesday September 5 2007.

Homework N2; Due on Friday, September 7, 2007.

Homework N3; Due on Friday, September 14, and Monday, September 17 2007.

Homework N4; Due on Friday, September 21, 2007.

Homework N5; Due on Friday, September 28, 2007.

Homework N6; Due on Friday, October 12, 2007.

Homework N7; Due on Friday, October 19, 2007.

No homework for the week of October 26; complete your selection of the course projects

Homework N8; Due on Friday, November 2, 2007.

Homework N9; Due on Friday, November 9, 2007.

Homework N10; Due on Friday, November 16, 2007.

Homework N11; Due on Friday, November 30, 2007.

Homework N12; Due on Wednesday, December 5, 2007.
OFFICE HOURS
By appointmemnt in McAllister 301; request in class or by email katok_a@math.psu.edu several days in advance.
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Last updated on October 27, 2007