Discrete mathematics and cryptography Field of study: Computer Science
Programme code: W4-N1IN19.2024

Module name: Discrete mathematics and cryptography
Module code: W4-IN-N1-24-3-MDiK
Programme code: W4-N1IN19.2024
Semester: winter semester 2025/2026
Language of instruction: Polish
Form of verification: course work
ECTS credits: 3
Purpose and description of the content of education:
Celem przedmiotu jest zaznajomienie z zagadnieniami związanymi z matematyką dyskretną oraz przedstawienie podstaw kryptografii. Realizowane treści 1. Elementy teorii liczb. 2. Arytmetyka modularna. 3. Kombinatoryka. 4. Elementy kryptografii.
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]
Stosuje podstawowe zasad zabezpieczenia danych. [K01]
 IN_K01 [2/5] IN_K02 [1/5]
Potrafi przeprowadzać obliczenia w arytmetyce modularnej z wykorzystaniem odpowiedniej wiedzy. [U01]
 IN_U01 [2/5] IN_U05 [1/5]
Potrafi zastosować właściwe schematy kombinatoryczne do rozwiązywania problemów informatycznych. [U02]
 IN_W01 [1/5] IN_W04 [2/5]
Rozumie znaczenie zastosowań matematyki dyskretnej w informatyce. [W01]
 IN_W01 [2/5] IN_W02 [1/5]
Zna metody obliczeniowe elementarnej teorii liczb. [W02]
 IN_W01 [2/5]
Zna pojęcia kombinatoryki i algorytmy kombinatoryczne. [W03]
 IN_W01 [2/5]
Zna podstawowe typy kryptosystemów. [W04]
 IN_W01 [2/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [01] 10 Lecture-discussion [b02]  course work W01 W02 W03 W04
practical classes [02] 20 Activating method – peer learning [b08] 
Activating method – flipped classroom [b09] 
Working with a computer [d01]  		course work K01 U01 U02 W01 W02 W03 W04
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.
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
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)