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 Course module: 202001325
 202001325Linear Structures I
 Course info
Course module202001325
Credits (ECTS)6
Course typeStudy Unit
Language of instructionEnglish
Contact personprof.dr. N.V. Litvak
E-mailn.litvak@utwente.nl
Lecturer(s)
 Contactperson for the course prof.dr. N.V. Litvak Lecturer prof.dr. N.V. Litvak Examiner prof.dr. N.V. Litvak Examiner dr. J.B. Timmer Lecturer ir. L. Weedage
Starting block
 1A
RemarksOnly for repeat students who need to re-take the exam.
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
 Aims
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } 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.
 Content
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } This course code is only for repeat students who need to re-take the exam from last year. All others: please refer to the new AM module 1 Structures and Models 202200140 . Linear Structures I 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 I 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 and linear transformations.
 Participating study
 Bachelor Applied Mathematics
Required materials
Book
 Linear Algebra, S.H. Friedberg, A.J. Insel and L.E. Spence. ISBN: 0-13-120266-9
Recommended materials
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Instructional modes
 Lectorial Self study with assistance Self study without assistance Tutorial
Tests
 Digital exam in Grasple
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