Program Overview

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Lineare Algebra I Autumn 2025

Lecturer and Coordinator

The lecturer for this course is Paul Biran, and the coordinator is Baptiste Depouilly.

Lectures

Lectures take place every Wednesday from 14:15-16:00 in HG F 5 and HG F 7, and every Friday from 11:15-13:00 in HG F 1 and HG F 3. The lectures are also livestreamed.

Content

The course content includes:

• Skript: A script written by Dr. Menny Akka Ginosar for his 2021 Linear Algebra lecture.
• Polybox for the material: The material for the lectures in English will regularly be added to a polybox folder.

Lecture Schedule

The lecture schedule is as follows: | Week | Lecture date | Summary | Themes | | --- | --- | --- | --- | | 1 | Wednesday, September 17th | Deutsch: Fibonacci (de), English: Fibonacci (en), Fib. Handwritten (en) | Fibonacci's sequence | | 1 | Friday, September 19th | Deutsch: Logic (de), English: Logic (en) | Logic | | 2 | Wednesday, September 24th | Deutsch: Mengenlehre (de), English: Set theory (en) | Logic, set theory | | 2 | Friday, September 26th | English: Polybox 04.maps | Set theory and maps | | 3 | Wednesday, October 1st | English: Polybox 04.maps, 05.fields, 06.linear equations | Graphs of maps, fields | | 3 | Friday, October 3rd | English: Polybox 06.linear equations | Systems of linear equations, row/column reduction | | 4 | Wednesday, October 8th | English: Polybox 06.linear equations, 07.vector spaces | Examples of row reduction, vector spaces | | 4 | Friday, October 10th | English: Polybox 06.linear equations, 07.vector spaces | Vector spaces and subspaces | | 5 | Wednesday, October 15th | English: Polybox 07.vector spaces | Vector spaces and subspaces with examples | | 5 | Friday, October 17th | English: Polybox 08.span.a, 08.span.b | Span of sets | | 6 | Wednesday, October 22nd | English: Polybox 09.linear independence | Linear independence | | 6 | Friday, October 24th | English: Polybox 09.linear independence, 10.basis.a | Linear independence, bases | | 7 | Wednesday, October 29th | English: Polybox 11.basis.b | Bases | | 7 | Friday, October 31st | English: Polybox 12.dimension | Dimension | | 8 | Wednesday, November 5th | English: Polybox 13.row and col spaces | Row and column spaces | | 8 | Friday, November 7th | | Review of the previously covered material | | 9 | Wednesday, November 12th | English: Polybox 14.sums of vector spaces | Sums of vector spaces | | 9 | Friday, November 14th | English: Polybox 15.linear maps.a | Linear maps |

Recordings

The recordings of the lectures can be found online.

Übungen

Exercise Classes

Exercise classes take place every Monday from 12:15-14:00.

Exercise Sheets

The exercise sheets are as follows: | exercise sheet | due by | upload link | solutions | | --- | --- | --- | --- | | Serie 01 (en), Serie 01 (de) | September 26th | Submission | Solutions 01 (en), Lösungen 01 (de) | | Serie 02 (en), Serie 02 (de) | October 3rd | Submission | Solutions 02 (en), Lösungen 02 (de) | | Serie 03 (en), Serie 03 (de) | October 10th | Submission | Solutions 03 (en), Lösungen 03 (de) | | Serie 04 (en), Serie 04 (de) | October 17th | Submission | Solutions 04 (en), Lösungen 04 (de) | | Serie 05 (en), Serie 05 (de) | October 24th | Submission | Solutions 05 (en), Lösungen 05 (de) | | Serie 06 (en), Serie 06 (de) | October 31st | Submission | Solutions 06 (en), Lösungen 06 (de) | | Serie 07 (en), Serie 07 (de) | November 7th | Submission | Solutions 07 (en), Lösungen 07 (de) | | Serie 08 (en), Serie 08 (de) | November 14th | Submission | Solutions 08 (en), Lösungen 08 (de) | | Serie 09 (en), Serie 09 (de) | November 14th | Submission | |

SAMUp

SAMup is an online submission tool that can be used to submit exercise sheets.

Quizzes

Quizzes take place at the beginning of some exercise sessions. The solutions are discussed directly after the quiz.

Quiz Schedule

The quiz schedule is as follows: | Quiz | Solutions | | --- | --- | | Quiz 01 | Quiz 01 solutions | | Quiz 02 | Quiz 02 solutions |

Bonus

The bonus is computed based on the points collected from quizzes. The maximal bonus grade is 0.25.

Übungsgruppen

Please enroll in an exercise group via myStudies.

Exercise Groups

The exercise groups are as follows: | Zeit | Raum | Tutor | Sprache | Material | | --- | --- | --- | --- | --- | | Mo 12-14 | CAB G 59 | Andres Lopez Gutierrez | English | | | Mo 12-14 | CHN D 42 | Milko Bakalov | Deutsch | | | Mo 12-14 | CHN D 44 | Fabio Bürge | Deutsch | | | Mo 12-14 | CHN D 46 | Ruocheng Wang | Deutsch | Notes | | Mo 12-14 | CHN D 48 | Max Hassdenteufel | Deutsch | | | Mo 12-14 | CHN F 46 | Ruben Grosspietsch | Deutsch | | | Mo 12-14 | CHN G 42 | Giovanni Mocellin | English | | | Mo 12-14 | CHN G 46 | Eric Ceglie | Deutsch | | | Mo 12-14 | ETZ E 6 | Khanh Dao | English | | | Mo 12-14 | ETZ E 7 | Lorenzo Garro | English | | | Mo 12-14 | HIL E 10.1 | Samuel-Laurin Hartung | Deutsch | | | Mo 12-14 | HG F 26.5 | Hector Krentzel | Deutsch | Polybox | | Mo 12-14 | HG G 26.5 | Riccardo Celori | English | Polybox | | Mo 12-14 | LFW B 1 | Alessio Barone | Deutsch | | | Mo 12-14 | LFW B 2 | Marvin Ernst | Deutsch | | | Mo 12-14 | LFW C 11 | Chengjie Hu | English | | | Mo 12-14 | LFW C 4 | Basma Adadi | English | | | Mo 12-14 | LFW C 5 | Philipp Reinhardt | Deutsch | | | Mo 12-14 | LFW E 13 | Alexander Balmer | Deutsch | Notes | | Mo 12-14 | ML F 39 | Jannik Kochert | Deutsch | | | Mo 12-14 | RZ F 21 | Hans Richard Aurich | Deutsch | |

Forum

The forum is the place to ask questions about the course.

Literatur

Recommended literature for the course includes:

• Lineare Algebra by G. Fischer and B. Springborn (Springer-Verlag 2020)
• Lineare Algebra by K. Jänich (Springer-Verlag 2004)
• Lineare Algebra by H.-J. Kowalsky, G. O. Michler (Walter de Gruyter 2003)
• Linear Algebra (4th Edition) by S. H. Friedberg, A. J. Insel and L. E. Spence (Pearson)
• Linear Algebra by K. Jaenich (English version) (Springer-Verlag 1994)
• Linear Algebra (2nd Edition) by K. M. Hoffman and R. Kunze
• Linear Algebra Done Right by Sheldon Axler (Springer-Verlag 2015)
• Lecture notes by Emmanuel Kowalski
• Einführung in das mathematische Arbeiten by H. Schichl, R. Steinbauer (Springer-Verlag 2012)

Study Center

There is a Study Centre to accompany the exercise sessions. The tutor for this semester is Pascal Gamma.