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 Cursus: 202001220
 202001220Calculus 2
 Cursus informatie
Cursus202001220
Studiepunten (ECTS)3
CursustypeOnderwijseenheid
VoertaalEngels
Contactpersoondr. F. Kula
E-mailf.kula@utwente.nl
Docenten
 Vorige 1-5 van 76-7 van 7 Volgende 2
 Examinator dr.ir. J.A.H. Alkemade Examinator dr. T.S. Craig Examinator dr.ir. P. van 't Hof Contactpersoon van de cursus dr. F. Kula Examinator dr. F. Kula
Collegejaar2022
Aanvangsblok
 2B
OpmerkingPart of module 4 B-CE
AanmeldingsprocedureZelf aanmelden via OSIRIS Student
Inschrijven via OSIRISJa
 Cursusdoelen
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } The student is able to (especially w.r.t. functions of two or three variables): work with partial derivatives and applications. define and evaluate double and triple integrals over bounded regions
 Inhoud
 body { font-size: 9pt; font-family: Arial } table { font-size: 9pt; font-family: Arial } This course introduces the mathematics needed for disciplines such as classical mechanics, thermodynamics, fluid dynamics, and probability theory. This course directly follows up on the courses Calculus 1A and 1B. The aim is to introduce differential calculus for functions of more than one variable. Applications of this theory include the chain rule, linearizations, differentials, and extreme values (both with and without constraints). In the spirit of univariate functions, integrals of multivariate functions will be defined as limits of Riemann sums. In this case, the domain of integration becomes, for example, a rectangle, a disc, or a spherical region. This leads to double and triple integrals which can be used to compute areas, volumes, probabilities, charges, forces, masses, and moments of inertia. Sometimes integrals of multivariate functions are easier to compute when the usual Cartesian coordinates are replaced by polar, cylindrical, or spherical coordinates. Determinants, which will also be a topic in the course Linear Algebra, play an important role in these coordinate transformations. The follow-up course Vector Calculus (BMT,CE,CSE,ME, IEM) will cover line and surface integrals. By parameterising the domain of integration these integrals can be reduced to single or double integrals. The theorems of Gauss, Green, and Stokes provide a deep connection between all these integrals.
 Participating study
 Bachelor Civil Engineering
 Module
 Module 4
Verplicht materiaal
Book
 G.B.Thomas, M.D. Weir, J.R. Hass: ‘Thomas’ Calculus, Early Transcendentals’, (special edition for UT). ISBN: 9781784498139
Aanbevolen materiaal
-
Werkvormen
Lecture
 Aanwezigheidsplicht Ja

Self study with assistance
 Aanwezigheidsplicht Ja

Tutorial
 Aanwezigheidsplicht Ja

Workshop
 Aanwezigheidsplicht Ja

Toetsen
 Final exam Case
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