Mathematical Analysis 1

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Software Engineering

Synopsis:

Sets and mapping, basic logic term, Limit of sequence - basic properties, Limits of some sequences, Euler's number, Infinite series - sum, basic properties, Convergence of series with non-negative terms, Convergence of series with arbitrary terms, Limit and continuity of function of one real variable, Derivative of function - basic properties, Basic theorem of differential calculus, Behaviour of function, Elementary functions

Requirements:

Syllabus of lectures:

1.Sets and mapping, basic logic term

2.Limit of sequence - basic properties

3.Limits of some sequences

4.Euler's number

5.Infinite series - sum, basic properties

6.Convergence of series with non-negative terms

7.Convergence of series with arbitrary terms

8.Limit and continuity of function of one real variable

9.Derivative of function - basic properties

10.Basic theorem of differential calculus

11.Behaviour of function

12.Elementary functions

Syllabus of tutorials:

Study Objective:

Study materials:

Key references:

Dontová, E. Matematika I. Vyd. 3. Praha : Vydavatelství ČVUT, 2004. ISBN 80-01-02938-7

Pelantová, E., Vondráčková, J. Cvičení z matematické analýzy. Vyd. 4. Praha: Vydavatelství ČVUT, 2009. ISBN 978-80-01-04346-2 (in Czech)

Mareš, J., Vondráčková, J. Cvičení z matematické analýzy: diferenciální počet. Vyd. 5. Praha: Nakladatelství ČVUT, 2007, ISBN 978-80-01-03770-6 (in Czech)

Recommended references:

Děmidovič, B. P. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003. ISBN 80-7200-587-1 (in Czech)

Rektorys, K. Přehled užité matematiky. II. 7. vyd. Praha: Prometeus, 2000. ISBN 80-7196-181-7 (in Czech)

Rektorys, K. Přehled užité matematiky. I. 7. vyd .Praha: Prometeus, 2000. ISBN 80-7196-180-9 (in Czech)

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: