Kursöversikt
Welcome to TMV166: Linear algebra and systems of linear equations!
TMV166 Linjär algebra och system av linjära ekvationer lp3 vt22 (7,5 hp)
Important message:
Aligning with the Chalmers' measures in relation to Covid-19 updated on 7 February 2022 ( https://www.chalmers.se/en/news/corona-virus/Pages/default.aspx ):
- We are now merging groups A and B for in-person lectures! This means that all students may attend the lectures in-person. We will continue to fully stream the lectures to accomodate ALL students.
- There will be no change in the four exercise session groups: two in-person groups and two fully online.
NOTE: This is still relevant! If a student is sick or feeling unwell (coughing, sneezing,...), the student should attend the sessions (lectures and exercises) ONLINE, even if the student was assigned an in-person group.
Friday 04 March
Lecture 13:15-15:00
Groups A and B in person in lecture room HB2
Live streaming : https://chalmers.zoom.us/j/68770758073 Password: TMV166
Contact information:
Examiner: Karine le Bail
Teachers: Vincent Desmaris, Karine le Bail, Victor Belitsky, Rüdiger Haas
Teacher assistants / exercise leaders: Johan Borg, Tadeus Carl, Peng Feng, Rebekka Handirk, Daniel Montofré
Course description
This course is about linear systems of equations and how to calculate matrices. We start by studying geometry in space. We study both theoretical aspects and solution techniques. We use both analytical and numerical methods.
The course picks up where TMV151 left off. The course literature is part III in the series Mathematical analysis and linear algebra, by Stig Larsson, Anders Logg and Axel Målqvist. The book can be downloaded here: del3-2021-03-03-2.pdf . Supplementary teaching material will be posted on the Canvas page if necessary.
Programme
The course schedule can be found in TimeEdit.
| W1 | m | 2022-01-17 | 13:15-15:00 | FÖ-00 | Introduktionsföreläsning |
| tu | 2022-01-18 | 13:15-15:00 | FÖ-01 | Kapitel 1.1, 1.2, 1.3 | |
| 15:15-17:00 | ÖV-01 | Övningar | |||
| wed | 2022-01-19 | 08:00-09:45 | FÖ-02 | Kapitel 1.4, 1.5 | |
| 10:00-11:45 | ÖV-02 | Övningar | |||
| fr | 2022-01-21 | 13:15-15:00 | FÖ-03 | Kapitel 1.6 | |
| W2 | m | 2022-01-24 | 13:15-15:00 | ÖV-03 | Övningar |
| tu | 2022-01-25 | 08:00-09:45 | FÖ-04 | Kapitel 2.1 | |
| 10:00-11:45 | ÖV-04 | Övningar | |||
| wed | 2022-01-26 | 08:00-09:45 | FÖ-05 | Kapitel 2.2, 2.3 | |
| 10:00-11:45 | ÖV-05 | Övningar | |||
| fr | 2022-01-28 | 13:15-15:00 | FÖ-06 | Kapitel 2.4, 2.5 | |
| W3 | m | 2022-01-31 | 13:15-15:00 | ÖV-06 | Övningar |
| tu | 2022-02-01 | 08:00-09:45 | FS-01 |
Frågestund + QUIZ | |
| wed | 2022-02-02 | 08:00-09:45 | FÖ-07 | Kapitel 3.1 | |
| 10:00-11:45 | ÖV-07 | Övningar | |||
| th | 2022-02-03 | 08:00-09:45 | FÖ-08 | Kapitel 3.2 | |
| 10:00-11:45 | ÖV-08 | Övningar | |||
| W4 | m | 2022-02-07 | 13:15-15:00 | FÖ-09 | Kapitel 3.3 |
| 15:15-17:00 | ÖV-09 | Övningar | |||
| tu | 2022-02-08 | 08:00-09:45 | FÖ-10 | Kapitel 4.1 | |
| 10:00-11:45 | ÖV-10 | Övningar | |||
| wed | 2022-02-09 | 08:00-09:45 | FÖ-11 | Kapitel 4.2, 4.3 | |
| th | 2022-02-10 | 10:00-11:45 | ÖV-11 | Övningar | |
| W5 | m | 2022-02-14 | 13:15-15:00 | FÖ-12 | Kapitel 4.4 |
| 15:15-17:00 | ÖV-12 | Övningar | |||
| tu | 2022-02-15 | 13:15-15:00 | FÖ-13 | Kapitel 4.5, 4.6 | |
| 15:15-17:00 | ÖV-13 | Övningar | |||
| wed | 2022-02-16 | 10:00-11:45 | FS-02 | Frågestund + QUIZ | |
| th | 2022-02-17 | 08:00-09:45 | FÖ-14 | Kapitel 5.1 | |
| W6 | m | 2022-02-21 | 13:15-15:00 | ÖV-14 | Övningar |
| tu | 2022-02-22 | 08:00-09:45 | FÖ-15 | Kapitel 5.1 (fortsättning) | |
| 13:15-15:00 | ÖV-15 | Övningar | |||
| wed | 2022-02-23 | 08:00-09:45 | FÖ-16 | Kapitel 5.2, 5.3 | |
| 10:00-11:45 | ÖV-16 | Övningar | |||
| th | 2022-02-24 | 10:00-11:45 | FÖ-17 | Kapitel 6.1, 6.2 | |
| W7 | m | 2022-02-28 | 13:15-15:00 | ÖV-17 | Övningar |
| tu | 2022-03-01 | 08:00-09:45 | FÖ-18 | Kapitel 6.3 | |
| 10:00-11:45 | ÖV-18 | Övningar | |||
| wed | 2022-03-02 | 10:00-11:45 | FÖ-19 | Kapitel 7.1 | |
| th | 2022-03-03 | 10:00-11:45 | FÖ-20 | Kapitel 7.2 | |
| fr | 2022-03-04 | 10:00-11:45 | FÖ-21 | Sammafattning + deadline for Matlab homework | |
| 2022-03-19 | 13:00-17:00 | T |
Tenta |
||
| 2022-06-09 | 13:00-17:00 | OM | Omtenta |
Course structure
The course contains a) lectures, b) exercises (mixed arithmetic exercises and computer exercises), and c) voluntary quizzes. For the computer exercises we use the programming language Matlab. The CANVAS page is organized by modules. Each week, a module describes the teaching for each week.
Being able to use a computer to make calculations in linear algebra is a very important goal in the course. Computer exercises are integrated into the course planning and are not scheduled separately. Matlab is recommended because students are expected to have sufficient knowledge of Matlab.
Reference literature for Matlab:
- Material utvecklat av MV (Länkar till en externa sida.) which gives a brief introduction to Matlab.
- Programmering med Matlab, Katarina Blom. Gives an introduction to Matlab and teaches the basics of programming with Matlab. Highly recommended for you who are a beginner both in terms of programming and Matlab.
- Learning MATLAB, Tobin A. Driscoll. Gives a brief introduction to Matlab to those who can already program. Available as an e-book at Chalmers library.
- Physical Modeling in MATLAB 3/E, Allen B. Downey. The book is free to download from the web (here (Länkar till en externa sida.)). The book provides an introduction for those of you who have not programmed before. It covers basic MATLAB programming with a focus on modeling and simulation of physical systems.
Examination
The course has a classic written examination. The examination is a combined problem and theory writing with a maximum of 50 points (any bonus points are added, see below). For a pass (grade 3), at least 20 points are required, for grade 4 30 points are required, and for grade 5 40 points are required. No aids are allowed.
A total of 6 bonus points can be obtained: there are two quizzes (see syllabus) that give a maximum of 2 bonus points each and a MATLAB graded homework (max of 2 bonus points). These bonus points are added to the final examination grade. During the academic year, two re-examinations are normally given with the same grade limits. The students keep their bonus points for these two re-examinations.
QUIZZES:
The quizzes will be on CANVAS! They will happen on February 01, 2022 at 09:30 and on February 16, 2022 at 11:21.
There will be a total of 8 questions in each quiz, which has 5 answer options each. If you have 7 or 8 correct answers, you get 2 bonus points. If you have 4, 5 or 6 correct answers, you get 1 point. Less than 4 correct answers gives you no points at all.
MATLAB HOMEWORK: The Matlab homework will be given on Thursday 24 February at 11:40. It will be related to one of the topics covered during the lecture ("LU factorisation and iterative methods") on the same day. The homework (Matlab code + questions related to the code) is due on March 04, 2022 (23:59).
Kurssammanfattning:
| Datum | Information | Sista inlämningsdatum |
|---|---|---|