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Course module: 202001229
202001229
Vector Calculus
Course info
Course module202001229
Credits (ECTS)2
Course typeStudy Unit
Language of instructionEnglish
Contact persondr. T.S. Craig
E-mailt.s.craig@utwente.nl
Lecturer(s)
PreviousNext 2
Lecturer
dr. T. Akkaya
Contactperson for the course
dr. T.S. Craig
Lecturer
E. Giammatteo
Lecturer
M. Kozon
Lecturer
dr. C.A. Pérez Arancibia
Academic year2022
Starting block
2A
RemarksOnly for repeat students who need to re-take the exam.
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
Aims
Upon completion of this course the student will be able to:
  • use the concepts of vector fields, rotation, divergence and gradient, conservative fields,
  • integrate vector fields along a line, over a 2D surface, 3D volume and over surfaces in space,
  • use the theorems of Green, Gauss and Stokes to calculate integrals of vector fields.
Content

This course code is only for repeat students who need to re-take the exam from last year.


This section focuses on the calculation of vector fields. The concepts of rotation, divergence and gradient are introduced, and special attention is given to conservative vector fields. In addition, integrals of vector fields along a line, a surface and 3D volume are treated, using the theorems of Green, Stokes and Gauss to establish relationships between these different types of integrals.  This provides more insight into the meaning of integrals of vector fields and important theoretical relationships, but can also often be used to calculate these integrals more easily. These mathematical techniques are used directly in the module Electricity and Magnetism.

The following topics are covered.
  • vector fields, gradient, divergence, rotation, and conservative fields,
  • integrals of vector fields over lines, surfaces, and also three-dimensional spaces and volumes,
  • theorems by Green, Gauss and Stokes.
Participating study
Bachelor Applied Mathematics
Required materials
Book
R.A. Adams, C. Essex, Calculus, A complete course, Pearson, tenth edition. ISBN 978-0-13-573258-8
Recommended materials
-
Instructional modes
Lecture
Presence dutyYes

Q&A
Presence dutyYes

Tutorial
Presence dutyYes

Tests
Vector Calculus

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