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 Course module: 202001232
 202001232Vector Calculus
 Course info
Course module202001232
Credits (ECTS)2
Course typeStudy Unit
Language of instructionEnglish
Contact persondr. T.S. Craig
E-mailt.s.craig@utwente.nl
Lecturer(s)
 Lecturer dr. T. Akkaya Examiner dr. T.S. Craig Contactperson for the course dr. T.S. Craig Lecturer dr. T.S. Craig Examiner dr. F. Kula
Starting block
 2A
RemarksPart of module 3 B-TN
Application procedureYou apply via OSIRIS Student
Registration using OSIRISYes
 Aims
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } 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
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } 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.
Assumed previous knowledge
 Recommended: Calculus 1 for AT, EE, and TN and Calculus 2 for AT, EE, and TN, or similar courses up to and including double and triple integrals.
 Module
 Module 3
 Participating study
 Bachelor Applied Physics
Required materials
Book
 Adams, R.A., Essex, C. (2018).Calculus: a Complete Course (Ninth or Tenth edition). Pearson. ISBN: 9780134154367
Recommended materials
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Instructional modes
Lecture
 Presence duty Yes

Self study with assistance
 Presence duty Yes

Tutorial
 Presence duty Yes

Tests
 Vector CalculusRemarkWritten test
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