Computational mathematics
- Unit Coordinator: Przemyslaw Koprowski
- ECTS Credits: 4
- Semester: 2
- Year: 2
- Campus: University of Silesia in Katowice
- Language: English
- Aims:
The aim of Computational mathematics course is to teach students how to use computational (both numerical and symbolic) methods in applications coming from various branches of mathematics.
- Content:
The course covers the following subjects:
1. Polynomial algorithms: square-free factorization, polynomial factorization over finite fields, factorization of rational polynomials, monomial orders and Groebner bases;
2. Elimination theory: elimination with Groebner bases, classical elimination with resultants;
3. Inifinite summation and Gosper's algorithm;
4. Numerical integration: Monte-Carlo algorithm.
