News
Aktuell gibt es keine Neuigkeiten
Algebra
About the course
The course provides an introduction to the basics of Algebra and algebraic structures such as groups, rings and fields. The goal for the end of the semester is to teach about algebraic equations and solvability of polynomial by radicals using Galois theory. In particular, the course will cover the following topics:
- elementary category theory;
- group operations, Sylow-Theorems and solvable groups;
- theory of rings and ideals;
- algebraic and transcendental field extensions, degree of a field extension, Galois theory and solvability by radicals.
Prerequisites
Linear algebra 1 and 2.
Dates
Lectures
There will be two classes each per week. The lecture starts in the first week of the semester, on Wednesday, 16 October 2023 at 14:15 in Hörsaal IV (building E2.4).
- Wednesdays: 14:15 - 15:45 in building E2.4, Hörsaal IV;
- Thursdays: 10:15 - 11:45 in building E2.4, Hörsaal IV.
Problem session
There will be one problem session per week.
Exams
will be announced at the beginning of the lecture period
Assignments and exam criteria
There will be a weekly homework assignment. Students may team up in groups of three.
The solutions of the weekly homework will be corrected and graded.
Team
Lecturer Prof. Dr. Gabriela Weitze-Schmithüsen
Office hours tba
Assistant Pascal Kattler
Office hours tba
Tutor tba
Literature
Our Library has compiled an online collection of books for your convenience.