Mathematical Analysis 1
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| 818MA1 | Z | 4 | 3+3 | Czech |
- Lecturer:
- Eva Dontová (gar.)
- Tutor:
- Eva Dontová (gar.)
- Supervisor:
- 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:
- 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: