Mathematical modelling and computer simulation Field of study: Mathematics
Programme code: W4-S2MT19.2025

Module name: Mathematical modelling and computer simulation
Module code: W4-MT-S2-25-MSKom
Programme code: W4-S2MT19.2025
Semester: winter semester 2026/2027
Language of instruction: Polish
Form of verification: exam
ECTS credits: 6
Purpose and description of the content of education:
The aim of the module is to develop analytical skills, build mathematical models of selected problems and code the developed model in a selected high-level programming language. Intermediate goals are to develop methodological skills (e.g. use of available technology to prepare a project or analysis), develop cognitive skills (e.g. analysis of data/source content provided in the form of articles and textbooks, also in foreign languages), develop skills in interpreting and presenting obtained results and develop teamwork skills (e.g. work in small groups during workshops and outside them).
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]
potrafi wykorzystać język matematyki do opisu zachowania układu [MSKom_1]
 K_U07 [5/5]
jest gotów do formułowania obiektywnych opinii w zagadnieniach, w których matematyka jest językiem opisu [MSKom_2]
 K_K06 [4/5]
jest gotów do wyszukiwania nowych informacji związanych z danym tematem [MSKom_3]
 K_K02 [4/5]
potrafi przeprowadzić dowody wykorzystując poznane wcześniej wiadomości z algebry i analizy matematycznej [MSKom_4]
 K_U04 [3/5]
zna i rozumie specjalistyczne zagadnienia związane m.in. z analizą matematyczną i algebrą [MSKom_5]
 K_W04 [2/5]
potrafi przeprowadzić symulację komputerową za pomocą wybranego programu - napisać program w wybranym języku programowania wysokiego poziomu. [MSKom_6]
 K_U07 [4/5]
zna zaawansowane techniki obliczeniowe, wspomagające pracę matematyka i rozumie ich ograniczenia [MSKom_7]
 K_W04 [3/5] K_W05 [3/5]
potrafi przeprowadzić prezentację z osiągniętych wyników [MSKom_8]
 K_U09 [3/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [MSKom_fs_1] 30 Lecture-discussion [b02]  exam MSKom_1 MSKom_2 MSKom_3 MSKom_4 MSKom_5
laboratory classes [MSKom_fs_2] 30 Activating methods: a case study [b07] 
Working with a computer [d01]  		course work MSKom_1 MSKom_3 MSKom_6 MSKom_7 MSKom_8
The student's work, apart from participation in classes, includes in particular:
Name Category Description
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
Getting acquainted with the syllabus content [b01] Consulting the curriculum and the organization of classes
reading through the syllabus and getting acquainted with its content
Verification / adjustment / discussion of syllabus provisions [b02] Consulting the curriculum and the organization of classes
consulting the content of the syllabus, possibly in the presence of the year tutor or members of the class group, and, if necessary, reassessing the provisions concerning special conditions for class participation, e.g., space and time requirements, technical and other requirements, including conditions for participation in classes outside the walls of the university, classes organized in blocks, organized online, etc.
Consulting the schedule [b03] Consulting the curriculum and the organization of classes
getting acquainted with the class schedule, possibly in the presence of the year tutor, in order to optimize participation in classes, including those supplementary to the core subjects listed in the pursued study programme
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
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)