News
Inquiry of a student from our lecture: Interested in a seminar on topology next summer?Geschrieben am 17.12.24 von Gabriela Weitze-Schmithuesen Inquiry regarding a possible seminar in the upcoming summer semester: Who would be interested in a seminar on Algebraic Topology in the summer semester? There is a possibility that Professor Lazić will offer this again if there is sufficient interest. I have put the list of topics of the… Weiterlesen Inquiry regarding a possible seminar in the upcoming summer semester: Who would be interested in a seminar on Algebraic Topology in the summer semester? There is a possibility that Professor Lazić will offer this again if there is sufficient interest. I have put the list of topics of the seminar held in 2023/24 here in the cms into materials/others. If you are interested, please send an email to Mr. Philipp Weisang (email: philipp.weisang1@gmail.com). He can also provide you with more information about it.
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Anfrage zu einem möglichen Seminar im kommenden Sommersemester:
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Exercise SessionGeschrieben am 07.12.24 (letzte Änderung am 17.12.24) von Pascal Kattler Dear participants,
unfortunately there is no other time for the exercise session. So the exercise session will remain at monday 8:30.
Best, Pascal Kattler |
Seminar Anwendungen der Linearen AlgebraGeschrieben am 06.11.24 von Gabriela Weitze-Schmithuesen As promised today here are some further information: In this seminar (unfortunately in German) we are presenting some topics, where you directly how linear algebra is applied. Some of them are applications in the "real world", as for example cryptography, the page rank algorithm used in Google's… Weiterlesen As promised today here are some further information: In this seminar (unfortunately in German) we are presenting some topics, where you directly how linear algebra is applied. Some of them are applications in the "real world", as for example cryptography, the page rank algorithm used in Google's search or error correcting codes. Others are application within the mathematics, e.g. in differential geometry, Hilbert spaces and the theory of presentations of finite groups. Talk 9 ab out Hilbert spaces is still free. Please let me know, if you are interested. |
ExamGeschrieben am 06.11.24 von Gabriela Weitze-Schmithuesen Dear participants, here is as promised the decision about the type of the exams: They will be written exams. The dates are 17-02-2025 and 26-03-2025. Gabriela Weitze-Schmithüsen |
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: Wednesday, 4:15 - 5:00
Assistant Pascal Kattler
Office hours: Wednesday, 13:00 - 14:00
Literature
Our Library has compiled an online collection of books for your convenience.
Additional Literature
- Ebbinghaus: "Einführung in die Mengenlehre", Springer 2021: https://link.springer.com/book/10.1007/978-3-662-63866-8
- Jech: "Set theory", Springer 2003: https://link.springer.com/book/10.1007/3-540-44761-X