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 Course module: 202001173
 202001173Calculus B
 Course info
Course module202001173
Credits (ECTS)4
Course typeCourse
Language of instructionEnglish
Contact persondr. J.C.W. van Ommeren
E-mailj.c.w.vanommeren@utwente.nl
Lecturer(s)
 Lecturer dr.ir. J.A.H. Alkemade Lecturer ir. J.R. Lanting Contactperson for the course dr. J.C.W. van Ommeren Examiner dr. J.C.W. van Ommeren Lecturer S. Piceghello
Starting block
 1B
RemarksThis is a pre-master course.
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
 Aims
 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;
 Content
 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.
Assumed previous knowledge
 Mandatory: Calculus A (202001171)
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Required materials
Book
 G.B.Thomas, M.D. Weir, J.R. Hass: ‘Thomas’ Calculus, Early Transcendentals’, (special edition for UT). ISBN: 9781784498139
Recommended materials
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Instructional modes
 Guided self study Lecture Tutorial
Tests
 Written exam
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