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 Cursus: 202001173
 202001173Calculus B
 Cursus informatie
Cursus202001173
Studiepunten (ECTS)4
CursustypeCursus
VoertaalEngels
Contactpersoondr. J.C.W. van Ommeren
E-mailj.c.w.vanommeren@utwente.nl
Docenten
 Docent dr.ir. J.A.H. Alkemade Docent ir. J.R. Lanting Examinator dr. J.C.W. van Ommeren Contactpersoon van de cursus dr. J.C.W. van Ommeren Docent S. Piceghello
Collegejaar2022
Aanvangsblok
 1B
OpmerkingThis is a pre-master course.
AanmeldingsprocedureZelf aanmelden via OSIRIS Student
Inschrijven via OSIRISJa
 Cursusdoelen
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } After this course the student is able to:   calculate double and triple integrals over a general defined region; apply standard coordinate transformations (polar, cylindrical and spherical) to multiple 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
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } 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
 G.B.Thomas, M.D. Weir, J.R. Hass: ‘Thomas’ Calculus, Early Transcendentals’, (special edition for UT). ISBN: 9781784498139
Aanbevolen materiaal
-
Werkvormen
 Hoorcollege Werkcollege Zelfstudie met begeleiding
Toetsen
 Written exam
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