Website: http://people.math.gatech.edu/~aleykin3/2016math4803/
Instructor: Anton Leykin
 Contact: leykin@math.gatech.edu
 Skiles 109
 Office hours: Mon 4pm, Tue/Thu 2pm, or by appointment
When and where:
11:05 am  11:55 am, MWF,
Clough Undergraduate Commons 102
Description:
This course is an introduction to techniques of
algebraic computation that found applications in a
variety of areas both in and outside mathematics.
It delves into nonlinear algebra, whose basic
problem is solving systems of polynomial equations
in one and many variables.
Core topics:
 Solving (systems of) polynomial equations
 Polynomial homotopy continuation
 Ideals in polynomial rings
 Elimination theory and Groebner bases
 Polynomial models arising in applications
Text:
 Parts of Cox, Little, O'Shea, "Ideals, Varieties, and Algorithms" (electronic copy is available for free from the library)
 Instructor's notes
Student activities:
 Homework: problem sets (exercises from the textbook) assigned weekly.
 Inclass group work: problems solved and discussed in class in small groups.
 Team projects: short projects assigned to small groups. A set of potential projects will be introduced in the lectures and then student opinion will be surveyed (interest, perceived difficulty, immediate questions). The teams will be formed based on the feedback.

There will be no exams. The last team project may be due the week before the finals.
Software:
 Free software: Macaulay2 (recommended), CoCoA, Singular, Sage.
 Commercial software: Mathematica, Maple.
