Computer Analysis

Summer 2014

Description - Course Details


The goal of the course is to understand the underlying principles of algorithms typically used in computer algebra systems for computing closed forms of integrals, or for solving differential equations.

The topics include: Differential fields, integration of rational functions, the Risch algorithm, polynomial and rational solutions of ODEs, hyperexponential solutions, series solutions via Frobenius method and Newton polygon, algorithms for algebraic and holonomic functions.

Bachelor or Masters theses topics which are based on the material of this course are available.

Course Details