Linear Algebra

Professor: Igor Pivkin
Assistant: Kyrill Lykov
Assistant: Alexander Malafeev

Course type: Lecture and Tutorials
Value in ECTS: 6
Bibliographic references available on the University Library website


Academic year 2012/13 - Spring semester

Contents
This course gives an introduction to the field of linear algebra. Concepts and techniques from linear algebra are of fundamental importance in many scientific disciplines and provide the "language" for understanding the behavior of linear mappings and linear spaces. Topics covered are linear systems and Gauss method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. In contrast to standard courses in linear algebra, we will combine the abstract concepts with application oriented examples in order to intensify the understanding in an algorithmically oriented way. Numerical methods for basic Linear Algebra problems will also be discussed.

Objectives

  • Learn linear algebra
  • Improve abstraction competences
  • Learn how to study on a math book
  • Learn about applications of Linear Algebra

Teaching mode
Lectures will be given following the standard systematisation of Linear Algebra. The lectures will mainly follow the book "Introduction to Linear Algebra" by Gilbert Strang. Moreover, the course will allow you to find and to use your favorite Linear Algebra book with profit - something we strongly advise you to do.
Tutorials will be given to discuss the weekly assignments.

References
Introduction to Linear Algebra, by Gilbert Strang
Introduction to Linear Algebra, by Serge Lang
Video lectures by G. Strang at MIT
A First Course in Linear Algebra a free book by Rob Beezer
Linear Algebra a free book by Jim Hefferon