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Kies de Nederlandse taal
Course module: 202001174
202001174
Calculus B
Course info
Course module202001174
Credits (ECTS)3
Course typeCourse
Language of instructionEnglish
Contact persondr. J.C.W. van Ommeren
E-mailj.c.w.vanommeren@utwente.nl
Lecturer(s)
Contactperson for the course
dr. J.C.W. van Ommeren
Examiner
dr. J.C.W. van Ommeren
Academic year2022
Starting block
1B
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
Aims
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;
  • determine the convergence of sequences;
  • find the Taylor series expansion of simple functions.
Content
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 (202001172)
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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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Kies de Nederlandse taal