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 Cursus: 202001230
 202001230Vector Calculus
 Cursus informatie
Cursus202001230
Studiepunten (ECTS)3
CursustypeOnderwijseenheid
VoertaalEngels
Contactpersoondr. T.S. Craig
E-mailt.s.craig@utwente.nl
Docenten
 Examinator dr. T. Akkaya Examinator dr. T.S. Craig Contactpersoon van de cursus dr. T.S. Craig Docent dr. C.A. Pérez Arancibia
Collegejaar2022
Aanvangsblok
 2A
OpmerkingOnly for repeat students who need to re-take the exam.
AanmeldingsprocedureZelf aanmelden via OSIRIS Student
Inschrijven via OSIRISJa
 Cursusdoelen
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } 1.  Sketch and describe regions in R^2 and R^3 in Cartesian, polar, cylindrical and spherical coordinates as applicable   2. Calculate integrals of multivariable functions determine whether a given vector field is conservative and if so identify its potential parametrise curves and compute line integrals, including in the applications of work and mass compute double, surface and triple integrals, including in the applications of mass, area, volume and flux   3. apply the theorems of Gauss (Divergence), Green and Stokes compute the divergence and curl of a vector field and explain their physical meanings decide which type of integral is relevant for each application
 Inhoud
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } This course code is only for repeat students who need to re-take the exam from last year.  All others: please refer to the new course code 202200189 .  Vector Calculus extends the single variable calculus of Calculus 1 and 2 into multivariable and vector calculus. The course deals extensively with integration; we shall cover double, triple, surface and line integrals. In the contexts of double and triple integrals we shall carry out coordinate changes, While our major focus is on shifts between Cartesian and polar/cylindrical/spherical coordinates, we shall also look at special one-off cases of coordinate changes. A key feature of this section of the course is the Jacobian. Applications we shall look at include area (double, surface), mass (line, double, surface, triple), work done (line) and flux (surface). We shall look at vector fields and line integrals of vector fields where path independence is an important concept. Using the concepts of div and curl, we shall close the course off with the powerful vector calculus theorems: Greenâ€™s, Stokesâ€™ and Divergence, which extend the Fundamental Theorem of Calculus into higher dimensional spaces.
Voorkennis
 Recommended: Calculus 1 for AT&EE and Calculus 2 for AT&EE, or similar courses up to and including and introduction to multivariable functions.
 Participating study
Verplicht materiaal
Book
 Adams, R.A., Essex, C. (2018).Calculus: a Complete Course (Ninth edition). Pearson. ISBN: 9780134154367
Aanbevolen materiaal
-
Werkvormen
Hoorcollege
 Aanwezigheidsplicht Ja

Werkcollege
 Aanwezigheidsplicht Ja

Zelfstudie met begeleiding
 Aanwezigheidsplicht Ja

Toetsen
 Vector Calculus
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