Introduction to Probability 1
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
01UP1 | Z,ZK | 3 | 1P+1C | Czech |
- Course guarantor:
- Jan Vybíral
- Lecturer:
- Jan Vybíral
- Tutor:
- Jan Vybíral
- Supervisor:
- Department of Mathematics
- Synopsis:
-
1.Random trial with finite set of possible results, classical probability, independent random events
2.Probability and combinatorics
3.Probability and geometry, Bertrand‘s paradox
4.Conditional probability, Bayes‘ theorem, medical diagnosis, Simpson‘s paradox
5.Random variable with discrete state space, its distribution and mean value
6.Problems involving the calculation of mean value
7.Probabilistic method in graph theory
8.Random algorithms, Morris algorithm and its variants
- Requirements:
- Syllabus of lectures:
-
1.Random trial with finite set of possible results, classical probability, independent random events
2.Probability and combinatorics
3.Probability and geometry, Bertrand‘s paradox
4.Conditional probability, Bayes‘ theorem, medical diagnosis, Simpson‘s paradox
5.Random variable with discrete state space, its distribution and mean value
6.Problems involving the calculation of mean value
7.Probabilistic method in graph theory
8.Random algorithms, Morris algorithm and its variants
- Syllabus of tutorials:
- Study Objective:
- Study materials:
-
Key references:
[1] M. Aigner, G. M. Ziegler: Proofs from the book, Springer, 2018
[2] N. Alon, J. H. Spencer: The probabilistic method, Wiley-Interscience, 4. vydání, 2016
Recommended references:
[3] J. Bewersdorff : Luck, Logic, and White Lies: The Mathematics of Games, CRC Press, 2005
- Note:
- Time-table for winter semester 2024/2025:
-
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 Wed Thu Fri - Time-table for summer semester 2024/2025:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- Fyzikální inženýrství - Počítačová fyzika (elective course)
- Aplikace informatiky v přírodních vědách (elective course)
- Aplikované matematicko-stochastické metody (compulsory course in the program)
- Aplikovaná informatika (compulsory course in the program)
- Fyzikální inženýrství - Fyzikální inženýrství materiálů (elective course)
- Fyzikální inženýrství - Fyzika plazmatu a termojaderné fúze (elective course)
- Fyzikální inženýrství - Inženýrství pevných látek (elective course)
- Jaderná a částicová fyzika (elective course)
- Fyzikální inženýrství - Laserová technika a fotonika (elective course)
- Vyřazování jaderných zařízení z provozu (elective course)
- Physical Engineering - Computational physics (elective course)
- Nuclear and Particle Physics (elective course)
- Physical Engineering - Physical Engineering od Materials (elective course)
- Physical Engineering - Plasma Physics and Thermonuclear Fusion (elective course)