Coursecode: wi2132
Coursename: Analysis module 5
DUT creditpoints: 2
ECTS creditpoints: 3 |
Faculty
of Information Technology and systems |
Lecturer(s):
Hensbergen, drs. A.T. |
Tel.: 015-2785818 |
Catalog
data:
See course-description |
Courseyear:
2
Semester: 6/0/0/0/0
Hours p/w: 6
Other hours: -
Assessment: Written
Assessm.period(s): 1, 3
(see academic calendar) |
Prerequisites:
wi104wb |
Follow
up: wi212 |
Detailed
description of topics:
Vectorfunctions, continuity and limits of functions of two variables, partial
differentials of the 1st and higher orders, total differential, direction differential,
implicite differentiation, Taylor's theorem for more variables, differential forms,
tangent plane, extreme values of a function of two variables on a open or closed area,
determinant of Hesse. Line integrals, arc length, surfaces and surface area, particular
cases of this, Gauss theorem, Stokes theorem |
Course
material:
Lecture notes: Calculus by R. Adams, Analyse 1988, Almering (DUM) |
References
from literature:
Finney and Thomas: Calculus ISBN 0-201-54977-8 |
Remarks
(specific information about assesment, entry requirements, etc.):
Admissionrequirement: passed for the Propaedeutic exam. |
Goals:
Can work abstract on basis of definitions. This applied on functions of n-variables
with the definitions of continuity, partial differentiable, differentiable in a certain
direction, total differentiable and continuesly differentiable. Further applied via the
definition of a extreem and the theorem of a continuesly function on a closed and bounded
area to can find the extreems on areas with or without a boundary. The solving of two
equations (not linear) with previous as application. Can calculating with Taylor's theorem
for functions of two variables, can differentiating in implicit falls with n-variables as
well as can determinate differentialforms after coördinate transformations, gradiënt,
divergence and rotation. To know how to use the integraltheorems of Gauss and Stokes in
simple cases. To know how to make a choise in complicated circumstances between directly
calculation, Stokes and/or Gauss, so that the calculation is as simple as possible. |
Computer
use: |
Laboratory
project(s): |
Design
content: |
Percentage
of design: 0% |