Probabilistic Methods and Statistics Field of study: Applied Computer Science
Programme code: W4-S1IS19.2023

Module name: Probabilistic Methods and Statistics
Module code: W4-IS-S1-MPS
Programme code: W4-S1IS19.2023
Semester:
  • summer semester 2025/2026
  • summer semester 2024/2025
Language of instruction: Polish
Form of verification: exam
ECTS credits: 4
Purpose and description of the content of education:
Celem modułu jest zdobycie przez studiującego wiedzy i umiejętności w zakresie następujących treści programowych: 1. Elementy kombinatoryki 2. Model matematyczny eksperymentu losowego (model klasyczny i geometryczny) 3. Prawdopodobieństwo warunkowe, prawdopodobieństwo całkowite, wzór Bayesa. 4. Jednowymiarowa zmienna losowa i jej charakterystyki liczbowe (wartość oczekiwana, wariancja). 5. Rozkład zmiennej losowej (przykłady rozkładów) 6. Nierówność Czebyszewa 7. Prawa wielkich liczb 8. Elementy statystyki matematycznej: przedziały ufności, granice tolerancji, weryfikacja hipotez statystycznych, testy zgodności
List of modules that must be completed before starting this module (if necessary): not applicable
Learning outcome of the module Codes of the learning outcomes of the programme to which the learning outcome of the module is related [level of competence: scale 1-5]
rozumie znaczenie zastosowań metod probabilistycznych w informatyce; zna pojęcia i techniki obliczeniowe metod probabilistycznych [IS-S1-MPS_1]
 IS1_W01 [4/5]
zna różne przykłady zastosowań dyskretnych i ciągłych rozkładów prawdopodobieństwa [IS-S1-MPS_2]
 IS1_W04 [3/5]
zna i potrafi wyjaśnić wybrane eksperymenty losowe oraz modele matematyczne, w jakich te rozkłady występują [IS-S1-MPS_3]
 IS1_W01 [3/5] IS1_W04 [2/5] IS1_U05 [3/5]
potrafi zastosować wzór na prawdopodobieństwo całkowite [IS-S1-MPS_4]
 IS1_U05 [4/5]
potrafi zastosować podstawowe rozkłady prawdopodobieństwa i metody weryfikacji hipotez statystycznych [IS-S1-MPS_5]
 IS1_U05 [4/5]
potrafi w sposób zrozumiały, w mowie i piśmie przedstawić poznaną wiedzę [IS-S1-MPS_6]
 IS1_U04 [2/5]
ma umiejętność samokształcenia się [IS-S1-MPS_7]
 IS1_U01 [3/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [IS-S1-MPS_fs_1] 30 Formal lecture/ course-related lecture [a01] 
Problem-based lecture [b01] 
Lecture-discussion [b02] 
Screen presentation [c07] 
Self-education [f01] 
Individual work with a text [f02]  		exam IS-S1-MPS_1 IS-S1-MPS_2 IS-S1-MPS_3 IS-S1-MPS_4 IS-S1-MPS_5 IS-S1-MPS_6 IS-S1-MPS_7
discussion classes [IS-S1-MPS_fs_2] 30 Activating method – flipped classroom [b09] 
Self-education [f01] 
Individual work with a text [f02]  		course work IS-S1-MPS_1 IS-S1-MPS_3 IS-S1-MPS_4 IS-S1-MPS_5 IS-S1-MPS_6 IS-S1-MPS_7
The student's work, apart from participation in classes, includes in particular:
Name Category Description
Literature reading / analysis of source materials [a02] Preparation for classes
reading the literature indicated in the syllabus; reviewing, organizing, analyzing and selecting source materials to be used in class
Developing practical skills [a03] Preparation for classes
activities involving the repetition, refinement and consolidation of practical skills, including those developed during previous classes or new skills necessary for the implementation of subsequent elements of the curriculum (as preparation for class participation)
Consulting materials complementary to those indicated in the syllabus [a04] Preparation for classes
agreeing on materials complementary to those indicated in the syllabus, supporting the implementation of tasks resulting from or necessary for class participation
Determining the stages of task implementation contributing to the verification of learning outcomes [c01] Preparation for verification of learning outcomes
devising a task implementation strategy embracing the division of content, the range of activities, implementation time and/or the method(s) of obtaining the necessary materials and tools, etc.
Studying the literature used in and the materials produced in class [c02] Preparation for verification of learning outcomes
exploring the studied content, inquiring, considering, assimilating, interpreting it, or organizing knowledge obtained from the literature, documentation, instructions, scenarios, etc., used in class as well as from the notes or other materials/artifacts made in class
Analysis of the corrective feedback provided by the academic teacher on the results of the verification of learning outcomes [d01] Consulting the results of the verification of learning outcomes
reading through the academic teacher’s comments, assessments and opinions on the implementation of the task aimed at checking the level of the achieved learning outcomes
Development of a corrective action plan as well as supplementary/corrective tasks [d02] Consulting the results of the verification of learning outcomes
reviewing and selecting tasks and activities enabling the elimination of errors indicated by the academic teacher, their verification or correction resulting in completing the task with at least the minimum passing grade
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)