### MATH 86600

Differential Algebra

Mathematics

###
MATH 86600 Home Page

### When and Where

Semester: Fall 2014

Meeting time: Fridays, 9:45 - 11:50 am

Meeting place: GC 6417

### Instructor

### Course Objectives

Topics to be covered include basic differential algebra: differential
ideal theory, differential elimination, and differentially closed
fields; differential Galois theory and linear algebraic groups.

### Prerequisite

Solid background in graduate-level algebra.

### Text

Lecture notes are posted here.
** Galois Theory of Linear Differential Equations** by M. van der
Put and M. F. Singer, Springer, 2003 (QA174.2.P88 2003 at
CUNY libraries) - NO need to buy it. An online version of
this book is available here.

**An Introduction to Differential Algebra** by I. Kaplansky, Paris,
Hermann, 1957
(QA 247.K35 at
CUNY libraries) - NO need to buy it.

**Algebraic Groups and Differential Galois Theory** by T. Crespo
and Z. Hajto, American Mathematical Society, 2011 - NO need to buy it.

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**### Grading

The grade will be
given on the basis of the final exam, which consists of individual
solving of one problem of the student's choice from the fixed list
of problems. Submission of
solutions is done by

and must be
received by Friday, December 26, 2014, 11:59 pm EST.

### Academic
Integrity Statement

** ****
**### Students with Disabilities

The CUNY policy
on
working with students with disabilities can
be
found here.

CUNY Graduate Center home page

**Last
modified
September 1, 2014**

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