Integral Transforms and Z Transform

Lecturer:

Jaroslav Tišer (gar.)

Tutor:

Jaroslav Tišer (gar.)

Supervisor:

Department of Mathematics

Synopsis:

Basic types of integral transforms, linearity. Laplace transform,

inversion, limit theorems. Fourier transform. Application to solving

integral and differential equations. Introduction to distribution

theory, Fourier and Laplace transforms of distributions. Linear

dynamic systems, causality, passivity, convolution. Systems with

bounded spectrum. Z-transform and difference equations.

Requirements:

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Study materials:

1. L. Debnath: Integral Transforms and Their Applications. CRC Press, Florida, 1995.

Note:

Time-table for winter semester 2011/2012:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Fri	roomZ4:B2-326 Tišer J. 10:00–11:45 (lecture parallel1) Zikova ulice Konzultační místnostroomZ4:B2-326 Tišer J. 11:45–12:30 (lecture parallel1 parallel nr.101) Zikova ulice Konzultační místnost
Thu
Fri

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans:

• Doctoral studies, daily studies (compulsory elective course)
• Doctoral studies, combined studies (compulsory elective course)
• Doctoral studies, structured daily studies (compulsory elective course)
• Doctoral studies, structured combined studies (compulsory elective course)