Applied mathematics Field of study: Materials Science and Engineering
Programme code: W4-S1MA19.2023

Module name: Applied mathematics
Module code: IM1A_MATS
Programme code: W4-S1MA19.2023
Semester: winter semester 2023/2024
Language of instruction: depending on the choice
Form of verification: course work
ECTS credits: 7
Purpose and description of the content of education:
The Applied Mathematics 1 module shall enable students learning those mathematical issues, which are the basis for the teaching of other general and field of study subjects in the next semesters of studies, and which are necessary to understand mathematical models and research methods used in the materials science. Owing to that students shall understand the importance of mathematics not only in the description of materials physio-chemical properties, but also in designing new engineering materials for technical and medical applications. The accomplishment of the above objectives will require learning a number of issues from the field of calculus, such as numerical sets, numerical sequences and series, continuity and limits of one-variable function, derivative and integrals of a real function of one real variable.
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]
Knowledge of the basic concepts of logic, algebra and mathematical analysis, theoretical and practical knowledge of sequences and series, functions, differential and integral calculus of a real function of one variable, as well as the basics of the theory of differential equations. [IM1A_MAT1_1]
 IM1A_W01 [3/5]
Developing the skills of analytical thinking, logical reasoning and the ability to use mathematical apparatus in order to find a solution to a given problem. [IM1A_MAT1_2]
 IM1A_W01 [3/5] IM1A_U08 [3/5] IM1A_U09 [3/5]
Willingness to recognize the importance of knowledge in solving practical problems, seeking expert opinion in in case of difficulties with independent solving of the problem and the awareness of the need to expand and updating knowledge and skills. [IM1A​_MAT1_3]
 IM1A_K01 [3/5] IM1A_K02 [3/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
lecture [IM1A_MAT1_fs1] 30 Formal lecture/ course-related lecture [a01] 
Problem-based lecture [b01]  		course work IM1A_MAT1_1
laboratory classes [IM1A_MAT1_fs3] 15 Explanation/clarification [a05] 
Working with a computer [d01]  		course work IM1A_MAT1_2 IM1A​_MAT1_3
practical classes [IM1A_MAT2_fs2] 30 Explanation/clarification [a05] 
Activating methods: a case study [b07] 
Activating method – peer learning [b08]  		course work IM1A_MAT1_2 IM1A​_MAT1_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)