CloseHelpPrint
Kies de Nederlandse taal
Course module: 202200141
202200141
Linear Structures 1
Course info
Course module202200141
Credits (ECTS)5
Course typeStudy Unit
Language of instructionEnglish
Contact personprof.dr. N.V. Litvak
E-mailn.litvak@utwente.nl
Lecturer(s)
Lecturer
dr. J. de Jong
Examiner
prof.dr. N.V. Litvak
Contactperson for the course
prof.dr. N.V. Litvak
Lecturer
ir. L. Weedage
Academic year2022
Starting block
1A
RemarksPart of module 1 B-AM
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
Aims
Upon completion of this course the student is able to:
  • explain definitions and theorems of Linear Algebra and use them for solving exercises,
  • explain and prove properties of vector spaces,
  • recognize linear transformations, obtain the representation of linear transformations in the form of matrix-vector multiplication
  • explain and prove properties of linear transformations,
  • solve systems of linear equations in general form, and explain properties of the solution
  • understand and give examples of applications of linear spaces.
Assessment
Written exam (100%)
Content
Linear Structures 1 focuses on developing the theory and understanding the structure behind solving systems of linear equations. Such systems of linear equations form the basis for solving difference equations and differential equations, and have an enormous range of real-world applications, from mechanical systems to web search engines. The concepts that are discussed are vector spaces and related concepts such as linear subspaces; basis vectors; dimension; linear transformations; matrix-vector representation of linear transformations; null space; range; inverse transformation; solution set of a linear system; rank of a matrix; and determinant. The subject Linear Structures 1 lends itself well for first-year students to experience the abstraction of mathematics. It is expected that the student learns to establish a correct mathematical proof for the properties of vector spaces, linear transformations, linear systems, and determinants.
 
Module
Module 1
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

Proof of the week / Practical
Presence dutyYes

Self study without assistance

Tutorial

Tests
Written exam

CloseHelpPrint
Kies de Nederlandse taal