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Kies de Nederlandse taal
Course module: 202200236
202200236
Linear Structures 2
Course info
Course module202200236
Credits (ECTS)4
Course typeStudy Unit
Language of instructionEnglish
Contact persondr. J. de Jong
E-mailj.dejong-3@utwente.nl
Lecturer(s)
Examiner
dr. J. de Jong
Contactperson for the course
dr. J. de Jong
Lecturer
ir. L. Weedage
Academic year2022
Starting block
1B
RemarksPart of module 2 B-AM
Minor students: please register for the minor!
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
Aims
Upon completion of this course the student is able to:
  • compute eigenvalues and eigenvectors of finite-dimensional linear mappings and can determine the spectral decomposition of simple linear mappings;
  • determine an orthonormal basis and can determine if a mapping is self-adjoint, unitary, normal, or orthogonal.
Content
Linear Structures 2 is a continuation of Linear Structures 1. In this course, students continue their study of vector spaces and linear operators, by focusing on two special types of bases: Bases of eigenvectors, used in e.g. dynamical systems, and orthonormal bases used in, e.g., Fourier analysis. We briefly touch upon these applications, but the course mainly focuses on learning how to construct these bases, and proving existence conditions.

Assessment
Written exam (100%)
Assumed previous knowledge
Linear Structures 1 is recommended. Some students are able to follow the course if they passed Linear Algebra with a very high grade. If you are unsure if you pass the requirements, please contact the contact person.
Module
Module 2
Participating study
Bachelor Applied Mathematics
Required materials
Book
Linear Algebra, S.H. Friedberg, A.J. Insel and L.E. Spence. ISBN: 978-9332549647
Recommended materials
-
Instructional modes
Lectorial

Lecture

Proof of the Week
Presence dutyYes

Tutorial

Tests
Written exam

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Kies de Nederlandse taal