Differential and Difference Equations

Lecturer:

Ondřej Navrátil (gar.)

Tutor:

Ondřej Navrátil (gar.), Olga Vraštilová

Supervisor:

Department of Applied Mathematics

Synopsis:

Ordinary differential equations of the first order and some methods of their solution. Differential equations of the n-th order, linear differential equations. Systém of the linear differential equations. Difference equations, linear difference equations and their systems. Cauchy and boundary value problem, Fourier series and Fourier transform. equations. Discrete dynamic systems.

Requirements:

knowledge in mathematical analysis

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

The course is devoted to the basic concepts of the theory of ordinary differential equations, difference equations and their systems. Student learns some methods of the solution of these equations. We put the emphasis on the linear differential and difference equations and systém, especially on the equatiobns and systems with constant coefficients.

Study materials:

Separstone H.S.: Introduction to Ordinary Differential Equations, Brooks/Cole, 1998.

Goldberg J.L.: Systems of ordinary differential equations: an introduction, New York, 1972.

Rektorys K..: Survey of Applicable Mathematics, Illife Books, London, 1969.

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans:

• 1.blok bak.prez.09/10začátek (compulsory course)
• 1.blok bak.komb.09/10začátek (compulsory course)
• 1.blok bak.prez.03/04 začátek (compulsory course)
• 1.blok bak.komb.03/04 začátek (compulsory course)
• 1.blok bak.komb.04/05začátek (compulsory course)
• 1.blok bak.prez.04/05začátek (compulsory course)
• 1.blok bak.komb.05/06začátek (compulsory course)
• 1.blok bak.prez.05/06začátek (compulsory course)
• 1.blok bak.prez.06/07začátek (compulsory course)
• 1.blok bak.komb.06/07 začátek (compulsory course)
• 1.blok bak.prez.07/08 začátek (compulsory course)
• 1.blok bak.komb.07/08začátek (compulsory course)
• 1.blok bak.komb.08/09začátek (compulsory course)
• 1.blok bak.prez.08/09začátek (compulsory course)