Seminar of contemporary mathematics 2

Lecturer:

Václav Klika (gar.), Edita Pelantová (gar.)

Tutor:

Václav Klika (gar.), Edita Pelantová (gar.)

Supervisor:

Department of Mathematics

Synopsis:

This seminar provides a different approach to those fields of mathematics that are included in curriculum but also to those that are not part of basic courses of mathematics.

Requirements:

Knowledge of mathematical analysis, linear and general algebra in the scope of bachelor's degree programme Mathematical Modelling at FNSPE, CTU in Prague.

Syllabus of lectures:

1. Symbolic dynamics.

2. Non-standard numeration systems.

3. Paralel algorithms.

4. Symetries of differential equations and applications

5. Integration factors, first integrals of differential equations.

This seminar is partially covered by hosting collaborators of Dept of Mathematics.

Syllabus of tutorials:

The subject is a seminar.

This seminar provides a different approach to those fields of mathematics that are included in curriculum but also to those that are not part of basic courses of mathematics.

Study Objective:

Knowledge:

Overview in modern trends in mathematics.

Skills:

During working on simple problems and recherche on selected topic, students get acquianted with basis of scientific work.

Study materials:

Presentations of lecturers which are published on web pages of the subject and other study materials are recommended on individual basis according to the selected topic for home work.

Obligatory:

[1] P.J. Davis, R. Hersh, The mathematical experience, Birkhauser Boston, 1981

Recommended:

[2] M. Aigner, G. M. Ziegler, Proofs from THE BOOK, Springer-Verlag, 2004

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: