Course Announcement

UC Berkeley, Spring Semester 1999

### Math 191: Solving Systems of Polynomial Equations

Instructor: Bernd Sturmfels (bernd@math, Evans 701)

Assistent: Laura Matusevich (laura@math, Evans 852)

**Time: ** Wednesday 4-6pm

**Place: ** 65 Evans Hall

In this Undergraduate Research Seminar we shall study algebraic and
numerical algorithms for solving systems of polynomial equations in
several unknowns. Such systems play an important role in applications
in the sciences and engineering. Their theoretical study, which is the
subject of algebraic geometry, is of central importance in mathematics.

Our basic reference is the first three chapters in the following
text book which is required for this course:

David Cox, John Little, Donal O'Shea: "Using Algebraic Geometry",
Springer Graduate Texts in Mathematics, 1998

The participants will perform their own computer experiments and
consult original research articles on solving equations.
The enrollment in this seminar is limited to seven students, who are
mathematics majors in their junior or senior year. Prerequisites are
two of the three courses Math 110, Math 113 or Math 128 A. Each student
who successflly completes the class will receive a $ 1,000 scholarship.
There is a possibility to continue with a summer research project.