Course code: wi3105wb

Course name: Analyse 4

ECTS creditpoints: 3

Faculty of Information Technology and Systems

Lecturer(s): Koelink, dr. H.T.

Tel.:  015-27 83639

Catalog data:

Vector calculus, multiple integrals, line integrals, theorems of Green, Stokes and Gauss (also known as the divergence theorem)

Course year:

BSc 3rd year

Semester:

1A

Hours p/w:

4

Other hours:

Assessment:

Written

Assessm.period(s):

1A, 1B

(see acedemic calender)  

Prerequisites: wi2252wb

Follow up:

Detailed description of topics:

Triple integrals, cylindrical and spherical coordinates, vector fields, conservative vector fields, line integrals, cylindrical and spherical coordinates, surface integrals, parametrisations, curl, divergence, flux, Green's theorem, the divergence theorem, Stokes's theorem

Course material:

J.Stewart, “Calculus: early transcendentals”, 5th ed. ISBN 0-534-39321-7

References from literature:

Remarks (specific information about assesment, entry requirements, etc.):

Learning goals:

The student must be able to:

1. Draw a vector field in R2 & interpret this as e.g. a force or flow field

2. Know, recognize & describe curves in 2D or 3D space through implicit formulas (x^2 + y^2 =1) and parametric equations (x(t)=sin t; y(t) = cos t)

3. Interpret and define line integrals such as those denoting length of a curve segment, mass of a chord, work along a curve, flux through a curve

4. Know, recognize & describe surfaces in 3D through implicit formulas (x^2 + y^2 + z^2 = 1) and parametric equations using e.g. spherical or cylindrical coordinates

5. Know, formulate & interpret surface integrals such as those denoting area of a surface, charge on a surface, mass of a surface, flux of a field through a surface

6. Know & apply Green's Theorem

7. Know & apply Stokes' Theorem

8. Know & apply the Divergence (= Gauss') Theorem

Computer use:

Laboratory project(s):

Design content:

Percentage of design:  0 %