IV111 Probability in Computer Science

Faculty of Informatics
Spring 2011
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jan Bouda, Ph.D. (lecturer)
RNDr. Matej Pivoluska, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Antonín Kučera, Ph.D.
Timetable
Wed 8:00–9:50 B204
  • Timetable of Seminar Groups:
IV111/01: Tue 12:00–13:50 C511, J. Bouda
IV111/02: Wed 18:00–19:50 C511, M. Pivoluska
Prerequisites
Knowledge of basic discrete mathematics (e.g. as presented in the course IB000).
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 42 fields of study the course is directly associated with, display
Course objectives
At the end of the course student should have a broad knowledge and an ability of independent study of problems based on the probability theory and its computer science applications. Should be able to learn independently new problems requiring knowledge of probability theory. Will be able to characterise basic principles of data compression and error correction. Should be able to apply information theory results in practice.
Syllabus
  • Probability. Discrete probabilistic space.
  • Random variable and its applications. Expectation and variation.
  • Chebyshev inequality. Kolmogorov inequality. Weak and strong law of large numbers.
  • Random processes. Markov processes.
  • Entropy. Information.
  • Aplications in computer science (information theory, coding theory, cryptography, randomized algorithms, etc).
Literature
  • STINSON, Douglas Robert. Cryptography : theory and practice. 3rd ed. Boca Raton: CRC Press, 2006, 593 s. ISBN 1584885084. info
  • COVER, T. M. and Joy A. THOMAS. Elements of information theory. 2nd ed. Hoboken, N.J.: Wiley-Interscience, 2006, xxiii, 748. ISBN 0471241954. info
  • FELLER, William. An introduction to probability theory and its applications. 3rd ed. [New York]: John Wiley & Sons, 1968, xviii, 509. ISBN 9780471257080. info
Teaching methods
Theoretical and practice lectures.
Assessment methods
Combination of a written test and an oral exam. Student successful in the written test should pass the oral exam in order to achieve grade C or better.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Spring 2011, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2011/IV111