Coursebooks 2017-2018

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Advanced linear algebra II

MATH-115(b)

Lecturer(s) :

Viazovska Maryna

Language:

English

Summary

The purpose of this course is to introduce the basic notions of linear algebra and to prove rigorously the main results of the subject.

Content

- Inner products: orthonormal bases, othogonal projections, orthogonal and unitary matrices, spectral theorem.

- Forms: linear forms, dual space, bilinear forms, sesquilinear forms, symmetric and hermitian matrices, Sylvester's theorem, singular values.

- Systemes of linear differential equations.

Keywords

inner product, bilinearity, orthogonality

Learning Prerequisites

Required courses

Linear algebra I

Learning Outcomes

By the end of the course, the student must be able to:

Transversal skills

Teaching methods

Ex cathedra course, exercises in classroom

Expected student activities

Understanding the course notes, solving the exercices

Assessment methods

Written exam

Supervision

Office hours Yes
Assistants Yes
Forum No

Resources

Bibliography

- R. Cairoli, Algèbre linéaire, PressesPolytechniques Universitaires Romandes, 2e édition 1999.

- K. Hoffman, R. Kunze, Linear Algebra,Prentice-Hall, second edition, 1971.

- R. Dalang, A. Chabouni, Algèbre linéaire, PressesPolytechniques Universitaires Romandes, 2e édition, 2004.

Ressources en bibliothèque

In the programs

    • Semester
       Spring
    • Exam form
       Written
    • Coefficient
      4
    • Subject examined
      Advanced linear algebra II
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
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     
Under construction
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German