Calculus.docx

191512041

Calculus C Course info

Schedule

Course module

191512041

Academic year

2018

Credits (ECTS)

3

Starting block

1B

Course type

Course

Application procedure

You app

Language of instruction

English

Registration using OSIRIS

Yes

Contact person

dr. M.M.J.F. Janssen

E-mail

[email protected]

Lecturer(s) dr. M.M.J.F. Janssen Lecturer dr. M.M.J.F. Janssen Contactperson for the course

Learning goals After completing the course, the student is able to:

    

determine and interpret the Fourier series of a periodic phenomenon; solve simple partial differential equations using Fourier series; determine and interpret the Laplace transform of a function; solve linear differential equations, systems of 1st order differential equations and partial differential equations using Laplace transformations; analyze the behavior of linear time-independent continuous systems using Fourier series and Laplace transforms.

Content This course lays the foundation for further courses in the field of signal and system theory. The emphasis here is on studying continuous signals. In the course two important techniques are introduced with which such signals can be analyzed: Fourier series and Laplace transforms. During the course attention is paid to the manual calculation of simple cases.

191512021

Calculus B Course info Course module

191512021

Academic year

2018

Credits (ECTS)

3

Starting block

1B

Course type

Course

Application procedure

You app

Language of instruction

Dutch

Registration using OSIRIS

Yes

Contact person

dr. J.C.W. van Ommeren

E-mail

[email protected]

Lecturer(s) dr. J.C.W. van Ommeren Contactperson for the course dr. J.C.W. van Ommeren Lecturer dr.ir. W.R.W. Scheinhardt Lecturer

Learning goals After this course the student is able to: • • • • • • •

calculate double and triple integrals over a general defined region; apply standard coordinate transformations (polar, cilindrical and spherical) to multile integrals; work with divergence and curl of a vector field calculate line and surface integrals of functions and vector fields over general regions; apply the theorems of Green, Stokes and Gauss; formulate the notions of series, sequences and absolute and relative convergence; determine the convergence of series and sequences.

Content Calculus B is the direct successor to Calculus A. In Calculus A the focus was differentiation, while in Calculus B the focus lies at multiple integration of functions of two or more variables. We start with an introduction to multiple integration and exercise with various computation techniques. We extend our knowledge to integration over nonstraight curves and non-flat surfaces. This is a prerequisite for the great integration theorems of Green, Stokes and Gauss, with which we conclude this course.

Assumed previous knowledge

Requ Book Thom M.D. W 97817

Recom -

Instru

Guide

Lectu

Tutor

Voorkennis verplicht: Calculus A (191512001) Voorkennis voor: Calculus C (191512041) PARTICIPATING STUDY Master Chemical Engineering

Tests

Writte

PARTICIPATING STUDY Master Nanotechnology

PARTICIPATING STUDY Master Civil Engineering and Management

PARTICIPATING STUDY Master Construction Management and Engineering

PARTICIPATING STUDY Master Mechanical Engineering

PARTICIPATING STUDY Master Sustainable Energy Technology