Linear algebra (english)

MATH-111(en) / coefficient 6

Teacher: Iseli Annina Ursula

Language: English

Summary

The purpose of the course is to introduce the basic notions of linear algebra and its applications.

Content

  1. Linear systems;
  2. Matrix algebra;
  3. Vector spaces;
  4. Bases and dimension;
  5. Linear applications and matrices;
  6. Determinant of a matrix;
  7. Eigenvalues and eigenvectors;
  8. Inner product, orthogonality, quadratic forms;
  9. Orthogonal & Symmetric Matrices
  10. 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: 228
  • Exam form: Written (winter session)
  • Subject examined: Linear algebra (english)
  • Courses: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Fall
  • Number of places: 228
  • Exam form: Written (winter session)
  • Subject examined: Linear algebra (english)
  • Courses: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Fall
  • Number of places: 228
  • Exam form: Written (winter session)
  • Subject examined: Linear algebra (english)
  • Courses: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Fall
  • Number of places: 228
  • Exam form: Written (winter session)
  • Subject examined: Linear algebra (english)
  • Courses: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Fall
  • Number of places: 228
  • Exam form: Written (winter session)
  • Subject examined: Linear algebra (english)
  • Courses: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Fall
  • Number of places: 228
  • Exam form: Written (winter session)
  • Subject examined: Linear algebra (english)
  • Courses: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Fall
  • Number of places: 228
  • Exam form: Written (winter session)
  • Subject examined: Linear algebra (english)
  • Courses: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Fall
  • Number of places: 228
  • Exam form: Written (winter session)
  • Subject examined: Linear algebra (english)
  • Courses: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Fall
  • Number of places: 228
  • Exam form: Written (winter session)
  • Subject examined: Linear algebra (english)
  • Courses: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Fall
  • Number of places: 228
  • Exam form: Written (winter session)
  • Subject examined: Linear algebra (english)
  • Courses: 4 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory

Reference week

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