Special Topics of Algebra
Spezielle Themen der Algebra
8 CPirregularlyEN
Prerequisites
Recommended, as written
Knowledge of the content of module • 11101: Lineare Algebra und Analytische Geometrie I • 11102: Lineare Algebra und Analytische Geometrie II
Contents
Students can choose from the following topics depending on their interests: • Correspondence between varieties and ideals • Polynomial and rational functions on a variety • Robotics Automatic theorem proving • Symmetric polynomials and invariant theory • Projective algebraic geometry • The dimension of a variety • Real root location and isolation • Solving equations with Eigenvalues and Eigenvectors • Berstein's theorem • Syzygies • Algebraic coding theory
Learning outcomes
After successfully completing the module, students deeply understand advanced algebraic structures and concepts. They are able to apply this knowledge to solve more complex algebraic problems using computatinal algebra systems and advanced algorithmic techniques.
Assessment
• Written examination, 90 min. OR • Oral examination, 30-45 min. In the first lecture it will introduced, if the examination will organized in written or oral form.
Literature (3)
- DA Cox, J Little, D O’Shea: Using Algebraic Geometry (2005)
- S Bosch: Algebra (2013)
- S. Lang: Algebra (2005)
Remarks
• Study programme Mathematics M.Sc.: Compulsory elective module in complex „Analysis/Algebra/Combinatorics“
Source: BTU's module description · retrieved 20 Oct 2026Original