Mathematics 2 Field of study: Mechatronics
Programme code: W4-S1MC19.2024

Module name: Mathematics 2
Module code: A01_2
Programme code: W4-S1MC19.2024
Semester: summer semester 2024/2025
Language of instruction: Polish
Form of verification: exam
ECTS credits: 6
Purpose and description of the content of education:
Celem zajęć w tym module jest zapoznanie studentów z podstawami: rachunku różniczkowego i całkowego funkcji wielu zmiennych, równań różniczkowych zwyczajnych , elementami rachunku prawdopodobieństwa i statystyki matematycznej i zastosowaniami w praktyce.
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 obliczać pochodne cząstkowe funkcji oraz zna ich interpretacje fizyczną, stosować pojęcie różniczki zupełnej do szacowania niepewności pomiarowej, obliczyć ekstrema prostej funkcji wielu zmiennych, stosować całkę podwójną i potrójną do obliczania pól, objętości, mas, momentów bezwładności i środków mas, rozwiązać równania różniczkowe: o rozdzielonych zmiennych, liniowe I rzędu i równanie II rzędu o stałych współczynnikach. [A01_2_1]
 K_W01 [3/5] K_U08 [3/5] K_U25 [1/5] K_U12 [2/5] K_U23 [2/5] K_U24 [1/5]
Ma wiedzę o zastosowaniu równań różniczkowych zwyczajnych w naukach przyrodniczych ( ruch harmoniczny, wahadło, rozpad promieniotwórczy, rozwój populacji). [A01_2_2]
 K_W01 [3/5] K_U08 [3/5] K_U25 [1/5] K_U12 [2/5] K_U23 [1/5] K_U24 [1/5]
Ma wiedzę z zakresu rachunku całkowego funkcji wielu zmiennych i jego zastosowań geometrycznych i fizycznych. [A01_2_3]
 K_W01 [3/5] K_U08 [3/5] K_U25 [1/5] K_U12 [2/5] K_U23 [1/5] K_U24 [1/5]
Potrafi posługiwać siępojęciami kombinatoryki, potrafi obliczyć prawdopodobieństwo zdarzeń. [A01_2_4]
 K_W01 [3/5] K_U08 [3/5] K_U25 [1/5] K_U12 [2/5] K_U23 [1/5] K_U24 [1/5]
Ma wiedzę o zastosowaniach w praktyce: twierdzenia o prawdopodobieństwie zupełnym, twierdzenia Bayesa i schematu Bernoulliego. [A01_2_5]
 K_W01 [3/5] K_U08 [3/5] K_U25 [1/5] K_U12 [2/5] K_U23 [1/5] K_U24 [1/5]
Potrafi obliczyć wartość oczekiwaną, wariancję i odchylenie standardowe dla zmiennej losowej typu skokowego i zmiennej losowej typu ciągłego. Potrafi wyznaczyć przedziały ufności dla wartości oczekiwanej i wariancji oraz przeprowadzić wnioskowanie statystyczne dotyczące wartości oczekiwanej, wariancji i rozkładu. [A01_2_6]
 K_W01 [3/5] K_U08 [3/5] K_U25 [1/5] K_U12 [2/5] K_U23 [1/5] K_U24 [1/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [A01_2_fs_1] 30 Formal lecture/ course-related lecture [a01] 
Problem-based lecture [b01] 
Activating method – discussion / debate [b04] 
Screen presentation [c07]  		exam A01_2_2 A01_2_3 A01_2_5
practical classes [A01_2_fs_2] 30 Explanation/clarification [a05] 
Activating method – discussion / debate [b04] 
Demonstration-imitation [c06] 
Working with another teaching tool [d03]  		course work A01_2_1 A01_2_4 A01_2_6
The student's work, apart from participation in classes, includes in particular:
Name Category Description
Search for materials and review activities necessary for class participation [a01] Preparation for classes
reviewing literature, documentation, tools and materials as well as the specifics of the syllabus and the range of activities indicated in it as required for full participation in classes
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)
Production/preparation of tools, materials or documentation necessary for class participation [a05] Preparation for classes
developing, preparing and assessing the usefulness of tools and materials (e.g. aids, scenarios, research tools, equipment, etc.) to be employed in class or as an aid when preparing for classes
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
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)