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Cursus: 202001173
202001173
Calculus B
Cursus informatieRooster
Cursus202001173
Studiepunten (ECTS)4
CursustypeCursus
VoertaalEngels
Contactpersoondr. J.C.W. van Ommeren
E-mailj.c.w.vanommeren@utwente.nl
Docenten
Docent
dr. T.A. Leonida
Examinator
dr. J.C.W. van Ommeren
Contactpersoon van de cursus
dr. J.C.W. van Ommeren
Collegejaar2020
Aanvangsblok
1B
AanmeldingsprocedureZelf aanmelden via OSIRIS Student
Inschrijven via OSIRISJa
Cursusdoelen
After this course the student is able to:
 
  • calculate double and triple integrals over a general defined region;
  • apply standard coordinate transformations (polar, cilindrical and spherical) to multile integrals;
  • work with divergence and curl of a vector field
  • calculate line and surface integrals of functions and vector fields over general regions;
  • apply the theorems of Green, Stokes and Gauss;
  • formulate the notions of series, sequences and absolute and relative convergence;
  • determine the convergence of series and sequences.
  • find the radius of convergence of a power series;
  • find the Taylor series expansion of simple functions;
Inhoud
Calculus B is the direct successor to Calculus A. In Calculus A the focus was differentiation, while in Calculus B the focus lies at multiple integration of functions of two or more variables. We start with an introduction to multiple integration and exercise with various computation techniques. We extend our knowledge to integration over non-straight curves and non-flat surfaces. This is a prerequisite for the great integration theorems of Green, Stokes and Gauss, with which we conclude this course.
 
Voorkennis
Mandatory: Calculus A (202001171)
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Verplicht materiaal
Book
Thomas' Calculus, early transcendentals, G.B. Thomas, M.D. Weir and J.R.Hass New International Edition, ISBN 9781787260702
Aanbevolen materiaal
-
Werkvormen
Hoorcollege

Werkcollege

Zelfstudie met begeleiding

Toetsen
Written exam

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