Mathematical and Physical Foundations of Materials Science Field of study: Materials Science and Engineering
Programme code: W4-S1MAA19.2023

Module name: Mathematical and Physical Foundations of Materials Science
Module code: IM1A _MFPNM
Programme code: W4-S1MAA19.2023
Semester:
  • summer semester 2024/2025
  • summer semester 2023/2024
Language of instruction: depending on the choice
Form of verification: exam
ECTS credits: 4
Purpose and description of the content of education:
The Mathematical and Physical Foundations of Materials Science module is intended to enable students to consolidate those mathematical issues that are the basis for teaching other subjects of general and major education, and are also necessary in understanding mathematical models and research methods used in materials science. Achieving this goal will require knowledge of the differential and integral calculus of functions of many variables and the theory of differential and tensor equations. Students will acquire the ability to solve and analyze tasks in the field of materials science with the use of specific mathematical equations and numerical analysis using a computer in statistical methods of elaboration of experimental results. Students will acquire the ability to select the appropriate method of analysis for the given research problem.
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]
Deepening and broadening knowledge in the field of the analysis of mathematical equations and the application of differential, integral and tensor calculus in various examples in the field of materials engineering. Deepening knowledge in the field of statistical analysis and the use of selected numerical techniques in the analysis of measurement results. [IM1A_MFP_1]
 IM1A_W01 [3/5]
Acquiring the ability to independently solve mathematical problems in the field of materials engineering with the use of a computer. Development of reasoning skills based on mathematical equations. [IM1A_MFP_2]
 IM1A_U05 [3/5] IM1A_U09 [3/5]
Awareness of non-technical aspects and consequences of materials engineer's activities. [IM1A_MFP_3]
 IM1A_U07 [3/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [IM1A_MFPNOM_fs_1] 30 Formal lecture/ course-related lecture [a01] 
Problem-based lecture [b01] 
Activating method – discussion / debate [b04] 
Screen presentation [c07]  		exam IM1A_MFP_1
laboratory classes [IM1A_MFPNOM_fs_2] 30 Explanation/clarification [a05] 
Activating method – discussion / debate [b04] 
Demonstration-imitation [c06] 
Working with a computer [d01] 
Working with another teaching tool [d03]  		course work IM1A_MFP_2 IM1A_MFP_3
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)