714-0655/01 – Numerical and Statistics Methods (NaSM)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits4
Subject guarantorMgr. Jiří Vrbický, Ph.D.Subject version guarantorMgr. Jiří Vrbický, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageCzech
Year of introduction2004/2005Year of cancellation2010/2011
Intended for the facultiesFMTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
MOR74 Mgr. Zuzana Morávková, Ph.D.
NIK01 Ing. Marek Nikodým, Ph.D.
OND10 Mgr. Ivana Onderková, 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+2
Part-time Credit and Examination 18+0

Subject aims expressed by acquired skills and competences

The aim of this course is to acquaint students with the numerical solution of mathematical problems that arise in the other courses of their study and in the technical practice. The main accent lays in explanations of fundamental principles of numerical methods with emphases their general properties. It should lead to the ability in concrete situations to decide whether a numerical procedure is a suitable tool for solving a particular problem. An important ingredient of the course consists in the algorithmic implementation and in the utilization of existing computer programs specialized for numerical computations. The graduate of this course should know: • to recognize problems suitable for solving by numerical procedures and to find an appropriate numerical method; • to decide whether the computed solution is sufficiently accurate and, in case of need, to assess reasons of inaccuracies; • to propose an algorithmic procedure for solving the problem and to choice a suitable computer environment for its realization. The goal of the course is to serve as a theoretical and practical base to understand the importance of the basic notions in probability, and teach the student statistical way of thinking as a mean of understanding real life processes, introduce basic methods of collecting and analysing statistical data, and show the student how to use these general methods in other courses of study and in professional career. The graduate of this course should be able: • understand and use basic notions in combinatorics and probability theory • formulate questions, which can be answered based on the given data, for this purpose learn the principles of collecting, processing data and presentation of relevant values and results • choose and use suitable statistical methods for data analysis • suggest and evaluate conclusions (inference) and predictions obtained from data

Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

Summary

Basic numerical methods: methods for solving of equations, iterative methods for solving of linear systems, interpolation and approximation of functions, numerical computation of integral, solving of ordinary differential equations. Probabilities of random events. Random variables: discrete and continuous random variables. Estimating of parameters of population. Testing of hypotheses.

Compulsory literature:

Boháč, Zdeněk: Numerical Methods and Statistics, VŠB – TUO, Ostrava 2005, ISBN 80-248-0803-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.: 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

Other requirements

Prerequisities

Subject codeAbbreviationTitleRequirement
714-0667 M III Mathematics III Compulsory

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Course contents, the issue of errors, stability of calculations. 2. Solution of nonlinear equations, separation of roots, the simplest methods. 3. Iterative methods for solving systems of linear equations. 4. Numerical integration. 5. Interpolation by polynomials and splines. 6. Function approximation. Metod of lest square. 7. Solution of ODE. 8. Combinatorics. Definitions of probability events - classical, geometrical, statistics. Conditional probability, Bayes' theorem. Bernoulli independent repeated trials. 9. Discrete random variable and continuous random variable. Functions of random variables. Moment-generating function, quantiles. 10. Discrete and continuous probability distribution. 11. Statistical processing data with one or more arguments. 12. Empirical characteristics of statistical data. 13. Parameter estimation and testing of hypotheses. 14. Regression analysis.

Conditions for subject completion

Part-time form (validity from: 1960/1961 Summer semester, validity until: 2009/2010 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (100) 51 3
        Exercises evaluation Credit 20 (20) 0 3
                Other task type Other task type 20  0 3
        Examination Examination 80 (80) 0 3
                Written examination Written examination 60  0 3
                Oral Oral examination 20  0 3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2009/2010 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2009/2010 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan
2008/2009 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2008/2009 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 2 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3909) Process Engineering (3909R009) Process Technologies of Waste Material Recycling P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2007/2008 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan
2007/2008 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3909) Process Engineering (3909R009) Process Technologies of Waste Material Recycling P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2006/2007 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3909) Process Engineering (3909R009) Process Technologies of Waste Material Recycling P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R028) Material Diagnostics K Czech Třinec 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys K Czech Třinec 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Ostrava 2 Compulsory study plan
2005/2006 (B3923) Materials Engineering (3911R030) Engineering Materials K Czech Třinec 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies K Czech Třinec 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment K Czech Třinec 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production K Czech Třinec 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment K Czech Třinec 2 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 2 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 2 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Třinec 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2010/2011 Summer
2009/2010 Summer