Linear algebra (english)
Summary
The purpose of the course is to introduce the basic notions of linear algebra and its applications.
Content
- Linear systems;
- Matrix algebra;
- Vector spaces;
- Bases and dimension;
- Linear applications and matrices;
- Determinant of a matrix;
- Eigenvalues and eigenvectors;
- Inner product, orthogonality, quadratic forms;
- Orthogonal & Symmetric Matrices
- Additional topics (incl. singular value decomp.)
Keywords
vector space, linearity, matrix, determinant, orthogonality, inner product
Learning Outcomes
By the end of the course, the student must be able to:
- Accurately make standard computations relevant to linear algebra and interpret the results;
- Define and provide illustrative examples of relevant theoretical notions;
- Identify examples of relevant theoretical notions;
- Construct a simple logical argument rigorously;
- Identify some connections between linear algebra and other branches of mathematics.
Teaching methods
Lectures and exercises in the classroom
Assessment methods
Written exam
Supervision
| Office hours | No |
| Assistants | Yes |
| Forum | Yes |
Resources
Bibliography
Linear Algebra and its Applications / D.C. Lay etal, preferably 5th edition
Ressources en bibliothèque
Moodle Link
Prerequisite for
Analysis II, III and IV, Numerical Analysis Statistics
In the programs
- Semester: Fall
- Number of places: 257
- Exam form: Written (winter session)
- Subject examined: Linear algebra (english)
- Lecture: 4 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Fall
- Number of places: 257
- Exam form: Written (winter session)
- Subject examined: Linear algebra (english)
- Lecture: 4 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Fall
- Number of places: 257
- Exam form: Written (winter session)
- Subject examined: Linear algebra (english)
- Lecture: 4 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Fall
- Number of places: 257
- Exam form: Written (winter session)
- Subject examined: Linear algebra (english)
- Lecture: 4 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Fall
- Number of places: 257
- Exam form: Written (winter session)
- Subject examined: Linear algebra (english)
- Lecture: 4 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Fall
- Number of places: 257
- Exam form: Written (winter session)
- Subject examined: Linear algebra (english)
- Lecture: 4 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Fall
- Number of places: 257
- Exam form: Written (winter session)
- Subject examined: Linear algebra (english)
- Lecture: 4 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Fall
- Number of places: 257
- Exam form: Written (winter session)
- Subject examined: Linear algebra (english)
- Lecture: 4 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Fall
- Number of places: 257
- Exam form: Written (winter session)
- Subject examined: Linear algebra (english)
- Lecture: 4 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Fall
- Number of places: 257
- Exam form: Written (winter session)
- Subject examined: Linear algebra (english)
- Lecture: 4 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
Reference week
| Mo | Tu | We | Th | Fr | |
| 8-9 | |||||
| 9-10 | |||||
| 10-11 | |||||
| 11-12 | |||||
| 12-13 | |||||
| 13-14 | |||||
| 14-15 | |||||
| 15-16 | |||||
| 16-17 | |||||
| 17-18 | |||||
| 18-19 | |||||
| 19-20 | |||||
| 20-21 | |||||
| 21-22 |
Légendes:
Lecture
Exercise, TP
Project, other