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: 10.1 Singular value decomposition. 10.2. Systems of ODEs
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
Videos
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
- Type: mandatory
- 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
- Type: mandatory
- 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
- Type: mandatory
- 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
- Type: mandatory
- 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
- Type: mandatory
- 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
- Type: mandatory
- 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
- Type: mandatory
- 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
- Type: mandatory
- 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
- Type: mandatory
- 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
- Type: mandatory