Course syllabus
Welcome to TMV166: Linear algebra and systems of linear equations!
TMV166 Linjär algebra och system av linjära ekvationer lp3 vt23 (7,5 hp)
Contact information:
Examiner: Karine le Bail
Teachers: Vincent Desmaris, Karine le Bail, Rüdiger Haas, Denis Meledin
Teacher assistants / exercise leaders: Tadeus Carl, Peng Feng, Teresa Margheri, Magnus Strandberg
IMPORTANT!
We added two sessions to prepare for the exam:
Course plan (KursPM)
The main information for the course is summarised in the Course Plan that can be downloaded here: CoursePlan.pdf . This document contains all contact information of the teaching team, general information about the course, learning objectives, course structure, schedule at a glance (including all deadlines and exercise sessions information), availability of teaching team for answering student questions, and examination conditions.
Course description and course literature
This course discusses systems of linear equations and how to manipulate matrices. We start by studying geometry in space. We study both theoretical aspects and solution methods. We use both analytical and numerical methods.
The course picks up where TMV151 left off. The course literature is part III in the series Matematisk Analys och Linjär Algebra, by Stig Larsson, Anders Logg and Axel Målqvist. The book can be downloaded here: BOOK and the hard copy book can be purchased at the STORE: https://www.chalmersstore.se/kompender/linjar-algebra-och-system.html. Supplementary teaching material will be posted on the Canvas page if necessary.
Schedule
The course schedule can be found here: TimeEdit
| Week | Day | Date | Time | Who | What | |
|---|---|---|---|---|---|---|
| W3/A | Mon | 2023-01-16 | 13:15-15:00 | L-00 | K | Introduction |
| Tue | 2023-01-17 | 13:15-15:00 | L-01 | V | Book sections 1.1, 1.2, 1.3 | |
| 15:15-17:00 | EX-01 | TA | Exercises | |||
| Wed | 2023-01-18 | 08:00-09:45 | L-02 | V | Book sections 1.4, 1.5, 1.6 | |
| 10:00-11:45 | EX-02 | TA | Exercises | |||
| Thu | 2023-01-19 | 08:00-09:45 | L-03 | V | Book section 2.1 | |
| W4/B | Mon | 2023-01-23 | 13:15-15:00 | EX-03 | TA | Exercises |
| Tue | 2023-01-24 | 08:00-09:45 | L-04 | V | Book sections 2.2, 2.3 | |
| 10:00-11:45 | EX-04 | TA | Exercises | |||
| Wed | 2023-01-25 | 08:00-09:45 | L-05 | V | Book sections 2.4, 2.5 | |
| 10:00-11:45 | EX-05 | TA | Exercises | |||
| Thu | 2023-01-26 | 08:00-09:45 | Q-01 | K+V | Questions + QUIZ | |
| W5/C | Mon | 2023-01-30 | 13:15-15:00 | L-06 | V | Book section 3.1 |
| Tue | 2023-01-31 | 08:00-09:45 | EX-06 | TA | Exercises | |
| Wed | 2023-02-01 | 08:00-09:45 | L-07 | V | Book section 3.2 | |
| 10:00-11:45 | EX-07 | TA | Exercises | |||
| Thu | 2023-02-02 | 08:00-09:45 | L-08 | V | Book section 3.3 | |
| 10:00-11:45 | EX-08 | TA | Exercises | |||
| W6/D | Mon | 2023-02-06 | 13:15-15:00 | L-09 | V | Book section 4.1 |
| 15:15-17:00 | EX-09 | TA | Exercises | |||
| Tue | 2023-02-07 | 08:00-09:45 | L-10 | V | Book sections 4.2, 4.3 | |
| 10:00-11:45 | EX-10 | TA | Exercises | |||
| Wed | 2023-02-08 | 08:00-09:45 | L-11 | V | Book section 4.4 | |
| Thu | 2023-02-09 | 10:00-11:45 | EX-11 | TA | Exercises | |
| W7/E | Mon | 2023-02-13 | 13:15-15:00 | L-12 | V | Book sections 4.4, 4.5 |
| 15:15-17:00 | EX-12 | TA | Exercises | |||
| Tue | 2023-02-14 | 13:15-15:00 | L-13 | V | Book sections 4.5, 4.6 | |
| 15:15-17:00 | EX-13 | TA | Exercises | |||
| Wed | 2023-02-15 | 10:00-11:45 | Q-02 | K+V | Questions + QUIZ | |
| Thu | 2023-02-16 | 08:00-09:45 | L-14 | K | Book section 5.1 | |
| W8/F | Mon | 2023-02-20 | 13:15-15:00 | EX-14 | TA | Exercises |
| Tue | 2023-02-21 | 08:00-09:45 | L-15 | K | Book section 5.1 (cont.) | |
| 13:15-15:00 | EX-15 | TA | Exercises | |||
| Wed | 2023-02-22 | 08:00-09:45 | L-16 | K | Book sections 5.2, 5.3 | |
| 10:00-11:45 | EX-16 | TA | Exercises | |||
| Thu | 2023-02-23 | 10:00-11:45 | L-17 | K | Book sections 6.1, 6.2 | |
| W9/G | Mon | 2023-02-27 | 13:15-15:00 | EX-17 | TA | Exercises |
| Tue | 2023-02-28 | 08:00-09:45 | L-18 | K | Book section 6.3 | |
| 10:00-11:45 | EX-18 | TA | Exercises | |||
| Wed | 2023-03-01 | 10:00-11:45 | L-19 | R | Book section 7.1 | |
| Thu | 2023-03-02 | 10:00-11:45 | L-20 | R | Book section 7.2 | |
| Fri | 2023-03-03 | 13:15-15:00 | L-21 | K | Summary | |
| W11 | Sat | 2023-03-18 | 13:00-17:00 | E | Exam | |
| W23 | Thu | 2023-06-08 | 13:00-17:00 | RE1 | Re-exam 1 |
K: Karine; V: Vincent; R: Rüdiger; TA: Teacher Assistants.
Course structure
The course contains a) lectures, b) exercises (mixed of arithmetic exercises and computer exercises), and c) voluntary quizzes.
For the computer exercises we use the programming language Python. 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. Python is recommended because students are expected to have sufficient knowledge of Python.
The CANVAS page is organized by modules. Each week, a module describes the teaching for each week.
Learning objectives
The learning objectives can be found in the Module "Course introduction", under "Learning objectives", as well as on Studieportalen: Studieplan . The pdf version in both English and Swedish is provided here: learning objectives.
Examination
The course has a classic written examination. The examination contains 14 individual exercises combining arithmetic calculation as well as demonstration 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.
For grade 5: 40 points are required.
No aids are allowed.
BONUS POINTS:
A total of 6 bonus points can be obtained: there are two quizzes that give a maximum of 2 bonus points each and a Python graded homework (maximum 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 Thursday 26 January, 2023 at 09:21 and on Wednesday 15 February, 2023 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.
PYTHON HOMEWORK:
The Python homework will be given on Thursday 23 February, 2023 at 11:40. It will be related to one of the topics covered during the lecture on the same day ("LU factorisation and iterative methods"). The homework (Python code + questions related to the code) is due on Friday 3 March, 2023 (23:59).
Course summary:
| Date | Details | Due |
|---|---|---|