|
Lecturer(s)
|
-
Benešová Martina, Mgr. Ph.D.
-
Andres Jan, prof. RNDr. dr hab. DSc.
-
Zámečník Hadwiger Lukáš, Mgr. Ph.D.
|
|
Course content
|
1. Basic mathematical framework (terminology, number domains, set theory) 1. Fundamental terminology of mathematical logic and set theory (basics of logic, propositions, hypotheses) 1. Introduction to function theory ? basic qualities of functions (definitions, domain of definition, range of values, one-to-one function, monotonic function) 1. Linear, quadratic function (description, qualities, solution of related equations) 1. Rational, power function (description, qualities, solution of related equations) 1. Exponential, logarithmic function (description, qualities, solution of related equations) 1. Inverse function (definition, qualities, application) 1. Graphs of functions, practical employment in statistics and linguistics 2. Basics of combinatorics (variations, permutations, combinations ? examples of usage in linguistics) 1. Basics of probability theory ? definitions (event, trial, result; examples of usage in linguistics) 1. Basics of statistics for validation experiments ? basic terminology, graphs (histograms) 2. Basics of statistics (population and sample, applications in linguistics) 1. Basics of statistics (characteristics of a sample)
|
|
Learning activities and teaching methods
|
|
Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
|
|
Learning outcomes
|
The course aims to introduce students to rudiments of mathematics and its instruments which are crucial for quantitative linguistic sample processing and subsequent validation of experiments performed in this way.
The course is introduced by revision of basic tools of mathematics, e.g. mathematical terminology, number domains, their qualities and graphs (linear, quadratic, exponential, logarithmic). From basic qualities of functions, qualities of inverse functions are derived. This is demonstrated using valid linguistic laws (e.g. Zipf and Menzerath-Altmann laws). The second half of the course covers basics of combinatorics and probability theory so that the fundamentals of statistics crucial for assessing validity of linguistic experiments can follow. The course complemented by short practical applications of the knowledge acquired.
|
|
Prerequisites
|
unspecified
|
|
Assessment methods and criteria
|
Student performance, Seminar Work
1. Regular attendance (no more than 2 unexcused absences) 2. Creation of encyclopaedic entry 3. Written test
|
|
Recommended literature
|
-
Čech, R., Altmann, G. (2011). Problems in Quantitative Linguistics 3. Lüdenscheid.
-
Köhler, R. et al. (2005). Quantitative linguistics: an international handbook. Mouton de Gruyter.
-
Wimmer, G. et al. (2003). Úvod do analýzy textov. Bratislava.
|