Coursecode: wi201wbn
Coursename: Analysis B (continuation)

DUT creditpoints: 4
ECTS creditpoints: 6

Faculty of Technical Mathematics and Informatics

Lecturer(s): Hensbergen, drs. A.T.

Tel.: 015-2785818

Catalog data:
See course-description

Courseyear: 2
Semester: 4/3/0/3/0
Hours p/w: 4/3/0/3/0
Other hours: -
Assessment: Written
Assessm.period(s): 1-5
(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:

MAPLE-exercise

Laboratory project(s):

as before

Design content:

Percentage of design: 0%