Mathematical-physical basis of materials science Field of study: Materials Science and Engineering
Programme code: 08-S1MAA16.2017

Module name: Mathematical-physical basis of materials science
Module code: IM1A _MFP
Programme code: 08-S1MAA16.2017
Semester: summer semester 2017/2018
Language of instruction: English
Form of verification: course work
ECTS credits: 3
Description:
The Mathematical-physical basis of materials science module shall enable students learning the application of differential and integral calculus in the materials science. Students shall: i) master formulation of a research problem in the form of vector, differential and/or integral equations, ii) master the skill of proficient differentiation and integration, iii) learn the numerical analysis, using a computer, of simple physical problems, iv) learn to use a computer in statistical methods of experiment results processing, v) resolve and analyse simple materials science problems related to the application of specified mathematical equations, vi) gain the skill of choosing a proper analysis method for a determined research problem.
Prerequisites:
The knowledge of mathematics at the level of vector, differential, and integral calculus as well as basics of physics is required.
Key reading:
1. F. Leja, Rachunek różniczkowy i całkowy, PWN Warszawa 1999 2. W. Krysicki, L. Włodarski, Analiza matematyczna w zadaniach, część I i II, PWN Warszawa 2000.
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]
Consolidation of the knowledge about the analysis of mathematical equations as a part of the differential and integral calculus. Deepening and broadening the analysis of differential and integral calculus applications in diverse examples from the materials engineering. Learning elements of the tensor calculus in relation to the theory of elasticity. Deepening the knowledge about statistical analysis of measurement results. Acquiring the skill to apply selected numerical techniques to the analysis of measurement results. [IM1A_MFP_1]
 IM1A_W01 [2/5] IM1A_W05 [2/5] IM1A_W06 [2/5]
Gaining the skill of independent resolution of simple mathematical problems from the field of materials engineering using a computer. Development of the skill of new knowledge acquisition, problem analysis, drawing conclusions based on mathematical equations, acquiring the skill to interpret ideas and concepts. [IM1A_MFP_2]
 IM1A_U10 [2/5] IM1A_U13 [2/5]
Students are aware of the importance and understand non-technical aspects and effects of materials engineer activities. [IM1A_MFP_3]
 IM1A_K02 [2/5] IM1A_K05 [1/5]
Type Description Codes of the learning outcomes of the module to which assessment is related
Written credits test [IM1A _MFP _w_1]
Verification of the knowledge based on the lectures content, recommended literature and attended classes.
 IM1A_MFP_1 IM1A_MFP_2 IM1A_MFP_3
Weekly tests [IM1A _MFP_w_2]
Assessment of mastering the skill of independent performance of a problem analysis with the use of mathematical methods.
 IM1A_MFP_2
Interview [IM1A _MFP_w_3]
Assessment of mathematical principles understanding, their interpretation and testing in materials engineering issues.
 IM1A_MFP_3
Form of teaching Student's own work Assessment of the learning outcomes
Type Description (including teaching methods) Number of hours Description Number of hours
lecture [IM1A _MFP _fs_1]
The lecture shall enable understanding the basic principles of mathematical description of materials properties taking into account the differential and integral calculus. It illustrates general regularities in scientific experiments planning and analysing. The whole is supported by the application of selected numerical techniques and demonstrations with the use of a computer.
 30
The work with the recommended literature comprising independent acquisition of knowledge related to basic issues.
 10 Written credits test [IM1A _MFP _w_1]
laboratory classes [IM1A _MFP _fs_2]
Resolving simple physical problems illustrating the lecture issues, using a computer. Mastering and deepening selected numerical techniques used in materials engineering.
 45
Preparation of theoretical basics and issues related to the topic of performed exercise. Independent preparation of a theoretical introduction. Individual preparation of exercise results.
5 Weekly tests [IM1A _MFP_w_2] Interview [IM1A _MFP_w_3]
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)