# 714-0665/01 – Mathematics I (M I)

 Gurantor department Department of Mathematics and Descriptive Geometry Credits 7 Subject guarantor Mgr. Jiří Vrbický, Ph.D. Subject version guarantor Mgr. Jiří Vrbický, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 1 Semester winter Study language Czech Year of introduction 2004/2005 Year of cancellation 2014/2015 Intended for the faculties FMT Intended for study types Bachelor
Instruction secured by
KRA37 Mgr. Ilona Hummelová
JAR71 Mgr. Marcela Jarošová
KOT31 RNDr. Jan Kotůlek, Ph.D.
MOR74 Mgr. Zuzana Morávková, Ph.D.
OND10 Mgr. Ivana Onderková, Ph.D.
KAH14 Mgr. Marcela Rabasová, Ph.D.
SKA141 Mgr. Pavel Skalný, Ph.D.
VRB50 Mgr. Jiří Vrbický, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+4
Part-time Credit and Examination 22+0

### Subject aims expressed by acquired skills and competences

Mathematics is essential part of education on technical universities. It should be considered rather the method in the study of technical courses than a goal. Thus the goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithms and methods. Students should learn how to analyze problems, distinguish between important and unimportant, suggest a method of solution, verify each step of a method, generalize achieved results, analyze correctness of achieved results with respect to given conditions, apply these methods while solving technical problems, understand that mathematical methods and theoretical advancements outreach the field mathematics.

### Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

### Summary

Differential calculus of function of one real independent variable: functionof one variable, elementary functions limit and continuity of a function, differentiation, extreme values of function, point of inflection, convex and concave function, L’Hospital’s rule. Linear algebra: determinants, matrices, systems of linear equations. Analytic geometry of the 3-dimensional space.

### Compulsory literature:

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3 Kreml, Pavel: Mathematics II, VŠB – TUO, Ostrava 2005, ISBN 80-248-0798-X

### Recommended literature:

Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and Company, Lexington1990, ISBN 0-669-21145-1 James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456 James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993. ISBN 0-201-56519-6

### Way of continuous check of knowledge in the course of semester

Course-credit -participation on tutorials is obligatory, 20% of absence can be apologized, -elaborate programs, -pass the written tests, Point classification: 5-20 points. Exam Practical part of an exam is classified by 0 - 60 points. Practical part is successful if student obtains at least 25 points. Theoretical part of the exam is classified by 0 - 20 points. Theoretical part is successful if student obtains at least 5 points. Point quantification in the interval 100 - 91 90 - 81 80 - 71 70 - 61 60 - 51 50 - 0 ECTS grade A B C D E F Point quantification in the interval 100 - 86 85 - 66 65 - 51 51 - 0 National grading scheme excellent very good satisfactory failed

### E-learning

http://www.studopory.vsb.cz http://mdg.vsb.cz/M/

### Other requirements

No special requirements.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

1 Functions of one real variable (definitions and basic properties) 2 Elementary functions 3 Limit of the function, continuity of the functions , basic rules 4 Differential calculus functions of one real variable. the derivative of function (basic rules for differentiation) 5 Derivatives of selected functions 6 Differential of the function, parametric differentiation, highes-order derivative 7 Applications of the derivatives 8 Monotonic functions and extremes of function, convexity and concavity of a function 9 Linear algebra: Matrice (basic properties), determinants (basic properties, calculation, evaluation) 10 Matrix inversion 11 Systems of linear equations, Cramer’s rule 12 Gaussian elimination 13 Product of vectors (basic properties) 14 Analytical geometry in E3

### Conditions for subject completion

Part-time form (validity from: 1960/1961 Summer semester, validity until: 2009/2010 Summer semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 20 (20) 0
Examination Examination 80 (80) 0
Written examination Written examination 60  0
Oral Oral examination 20  0
Mandatory attendence parzicipation:

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2014/2015 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 1 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 1 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 1 Compulsory study plan
2013/2014 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 1 Compulsory study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 1 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 1 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 1 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 1 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 1 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 1 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 1 Compulsory study plan
2011/2012 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 1 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 1 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 1 Compulsory study plan
2011/2012 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 1 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 1 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 1 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 1 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 1 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 1 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 1 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 1 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 1 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 1 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 1 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 1 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 1 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 1 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 1 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 1 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 1 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 1 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 1 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 1 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 1 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 1 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 1 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 1 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 1 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 1 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 1 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 1 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 1 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 1 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 1 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 1 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 1 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 1 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 1 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 1 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 1 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 1 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 1 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 1 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 1 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 1 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 1 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 1 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Compulsory study plan
2006/2007 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2006/2007 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Compulsory study plan
2006/2007 (B3909) Process Engineering (3909R009) Process Technologies of Waste Material Recycling P Czech Ostrava 1 Compulsory study plan
2006/2007 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 1 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 1 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 1 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 1 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 1 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 1 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 1 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 1 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Třinec 1 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Compulsory study plan
2005/2006 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2005/2006 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Compulsory study plan
2005/2006 (B3909) Process Engineering (3909R009) Process Technologies of Waste Material Recycling P Czech Ostrava 1 Compulsory study plan
2005/2006 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 1 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 1 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 1 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 1 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 1 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 1 Compulsory study plan
2004/2005 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Compulsory study plan
2004/2005 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Compulsory study plan
2004/2005 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Compulsory study plan
2004/2005 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Compulsory study plan
2004/2005 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2004/2005 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Compulsory study plan
2004/2005 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Compulsory study plan
2004/2005 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Compulsory study plan
2004/2005 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2004/2005 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Compulsory study plan
2004/2005 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 1 Compulsory study plan
2004/2005 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 1 Compulsory study plan
2004/2005 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2004/2005 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 1 Compulsory study plan
2004/2005 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2004/2005 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management K Czech Ostrava 1 Compulsory study plan
2004/2005 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2004/2005 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2004/2005 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Compulsory study plan
2004/2005 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Subject block without study plan - FMMI - P 2014/2015 Full-time Czech Optional FMT - Faculty of Materials Science and Technology stu. block