###
Math
691 Differential Geometry

# Syllabus

*In mathematics you don't
understand things. You just get used to them*.

-- John von Neumann, Nobel Prize winner.

**Time and Place:** 5:00-6:15 pm
MW at 513 Smith Hall.
**Instructor:**
Peter Saveliev (please, call me Peter)
**Office:** Smith Hall 741A
**Office Hours: **
12:45 - 1:45 MTWRF (tentative) or by
appointment**Office Phone:** x64639
**Home Phone:** 697-7827 (9 a.m. - 8 p.m.)
**
****E-mail:**
saveliev@marshall.edu
**Class Web-Page: **
math02.com **Prerequisites:**
Math 428
**Text:**
Differential Forms: A Complement to Vector Calculus by Steven H.
Weintraub (optional, lecture notes will be on-line).

- Chapter 1 Differential forms

- Chapter 2 Oriented
manifolds

- Chapter 3 Differential forms revisited

- Chapter 4 Integration

- Chapter 5 Stokes' Theorem

- Chapter 6 Cohomology
**Goals: **
differential forms as a way to understand calculus
**
Grade Breakdown:**

- take-home homework + possibly
some quizzes: 40%
(drop one)

- 2 exams (open book): 15% each

- final exam: 30%
**
****Letter Grades:** A: 90-100, B: 80-89, C: 70-79, D: 60-69, F: <60