714-0652/01 – Numerical Methods (NM)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits4
Subject guarantorMgr. Jiří Vrbický, Ph.D.Subject version guarantorMgr. Jiří Vrbický, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction1999/2000Year of cancellation2005/2006
Intended for the facultiesFMTIntended for study typesMaster
Instruction secured by
LoginNameTuitorTeacher giving lectures
MOR74 Mgr. Zuzana Morávková, Ph.D.
TAN30 Mgr. Miloslava Tannenbergová
VRB50 Mgr. Jiří Vrbický, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 18+0

Subject aims expressed by acquired skills and competences

This course is closed

Teaching methods

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:

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 Van Loan, C. F.: Introduction to scientific computing. Prentice Hall, Upper Saddle River, NJ 07459.

Recommended literature:

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Úvod Numerické řešení rovnic typu f(x) = 0 Metoda půlení intervalu, metoda regula falsi, metoda Newtonova, iterační metoda. Algebraické rovnice. Matice, soustavy lineárních rovnic Norma matice. Řešení soustav lineárních rovnic (prostá iterační metoda, Seidlova iterační metoda). Vlastní čísla a vlastní vektory matice. Numerický výpočet integrálů Newtonovy-Cotesovy kvadraturní formule (metoda lichoběžníková a Simpsonova). Richardsonova extrapolace. Interpolace a aproximace funkcí Lagrangeův interpolační polynom. Aproximace funkcí metodou nejmenších čtverců. Numerické řešení obyčejných diferenciálních rovnic Eulerova metoda. Metody Rungova-Kuttova typu. Pravděpodobnost a statistika Pravděpodobnost (klasická pravděpodobnost, podmíněná pravděpodobnost, nezávislost jevů, náhodná proměnná, rozdělení pravděpodobnosti náhodné proměnné, číselné charakteristiky rozdělení, normální rozdělení). Statistika (základní pojmy, definice statistik, odhady parametrů a jejich směrodatné chyby, testování statistických hypotéz).

Conditions for subject completion

Full-time form (validity from: 1960/1961 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
                Project Project 6  0 3
                Written exam Written test 9  0 3
                Other task type Other task type 5  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
2004/2005 (M2109) Metallurgical Engineering (3904T009) Environment Protection in Metalurgy P Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel P Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství P Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů P Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy K Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy P Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika P Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály P Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy P Czech Ostrava 2 Compulsory study plan
2004/2005 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů P Czech Ostrava 2 Compulsory study plan
2004/2005 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství P Czech Ostrava 2 Compulsory study plan
2004/2005 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv P Czech Ostrava 2 Compulsory study plan
2004/2005 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí P Czech Ostrava 2 Compulsory study plan
2004/2005 (M3909) Process Engineering (3911T023) Quality Control Management P Czech Ostrava 2 Compulsory study plan
2004/2005 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials P Czech Ostrava 2 Compulsory study plan
2004/2005 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials P Czech Ostrava 2 Compulsory study plan
2004/2005 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals P Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel K Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství K Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika K Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů K Czech Ostrava 2 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy K Czech Ostrava 2 Compulsory study plan
2004/2005 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí K Czech Ostrava 2 Compulsory study plan
2004/2005 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství K Czech Ostrava 2 Compulsory study plan
2004/2005 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv K Czech Ostrava 2 Compulsory study plan
2004/2005 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů K Czech Ostrava 2 Compulsory study plan
2004/2005 (M3909) Process Engineering (3911T023) Quality Control Management K Czech Ostrava 2 Compulsory study plan
2004/2005 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials K Czech Ostrava 2 Compulsory study plan
2004/2005 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals K Czech Ostrava 2 Compulsory study plan
2004/2005 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials K Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (3904T009) Environment Protection in Metalurgy P Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T999) Metallurgy P Czech Ostrava 2 Compulsory study plan
2003/2004 (M3909) Process Engineering (3909T999) Metallurgy - transient Year /bachelor to magister/ (01) Metalurgy - transient Year /bachelor to magister/ P Czech Ostrava 1 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel P Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství P Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů P Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy K Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy P Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika P Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály P Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy P Czech Ostrava 2 Compulsory study plan
2003/2004 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů P Czech Ostrava 2 Compulsory study plan
2003/2004 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství P Czech Ostrava 2 Compulsory study plan
2003/2004 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv P Czech Ostrava 2 Compulsory study plan
2003/2004 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí P Czech Ostrava 2 Compulsory study plan
2003/2004 (M3909) Process Engineering (3911T023) Quality Control Management P Czech Ostrava 2 Compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials P Czech Ostrava 2 Compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials P Czech Ostrava 2 Compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals P Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel K Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství K Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika K Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů K Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T999) Metallurgy K Czech Ostrava 2 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy K Czech Ostrava 2 Compulsory study plan
2003/2004 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí K Czech Ostrava 2 Compulsory study plan
2003/2004 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství K Czech Ostrava 2 Compulsory study plan
2003/2004 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv K Czech Ostrava 2 Compulsory study plan
2003/2004 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů K Czech Ostrava 2 Compulsory study plan
2003/2004 (M3909) Process Engineering (3911T023) Quality Control Management K Czech Ostrava 2 Compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials K Czech Ostrava 2 Compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals K Czech Ostrava 2 Compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials K Czech Ostrava 2 Compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3910T999) Metallurgy (01) Transient Year /bachelor to magister/ P Czech Ostrava 1 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T999) Metallurgy (01) Transient Year /bachelor to magister/ P Czech Ostrava 1 Compulsory study plan
2003/2004 (N2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy P Czech Ostrava 1 Compulsory study plan
2003/2004 (N2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli P Czech Ostrava 1 Compulsory study plan
2003/2004 (N2109) Metallurgical Engineering (2109T020) Průmyslová keramika a žáruvzdorné materiály P Czech Ostrava 1 Compulsory study plan
2003/2004 (N2109) Metallurgical Engineering (2109T022) Slévárenství P Czech Ostrava 1 Compulsory study plan
2003/2004 (N2109) Metallurgical Engineering (2109T024) Termal Engineering P Czech Ostrava 1 Compulsory study plan
2003/2004 (N2109) Metallurgical Engineering (2109T030) Tváření materiálů P Czech Ostrava 1 Compulsory study plan
2003/2004 (N2109) Metallurgical Engineering (3902T007) Automatizace a počítačová technika v metalurgii P Czech Ostrava 1 Compulsory study plan
2003/2004 (N2109) Metallurgical Engineering (3904T009) Ochrana životního prostředí v metalurgii P Czech Ostrava 1 Compulsory study plan
2003/2004 (N3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí P Czech Ostrava 1 Compulsory study plan
2003/2004 (N3909) Process Engineering (2807T004) Chemical Engineering P Czech Ostrava 1 Compulsory study plan
2003/2004 (N3909) Process Engineering (2811T002) Chemie a technologie paliv P Czech Ostrava 1 Compulsory study plan
2003/2004 (N3909) Process Engineering (3911T008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Compulsory study plan
2003/2004 (N3909) Process Engineering (3911T023) Quality Control Management P Czech Ostrava 1 Compulsory study plan
2003/2004 (N3910) Fyzikální a materiálové inženýrství (3911T010) Kovové materiály P Czech Ostrava 1 Compulsory study plan
2003/2004 (N3910) Fyzikální a materiálové inženýrství (3911T019) Neželezné kovy P Czech Ostrava 1 Compulsory study plan
2003/2004 (N3910) Fyzikální a materiálové inženýrství (3911T020) Nové technické materiály P Czech Ostrava 1 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (3904T009) Environment Protection in Metalurgy P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T999) Metallurgy K Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T999) Metallurgy P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T999) Metallurgy (01) Transient Year /bachelor to magister/ P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy K Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy P Czech Ostrava 2 Compulsory study plan
2002/2003 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů P Czech Ostrava 2 Compulsory study plan
2002/2003 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství P Czech Ostrava 2 Compulsory study plan
2002/2003 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv P Czech Ostrava 2 Compulsory study plan
2002/2003 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí P Czech Ostrava 2 Compulsory study plan
2002/2003 (M3909) Process Engineering (3911T023) Quality Control Management P Czech Ostrava 2 Compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials P Czech Ostrava 2 Compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials P Czech Ostrava 2 Compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy K Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel K Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství K Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika K Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů K Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy K Czech Ostrava 2 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (3904T009) Environment Protection in Metalurgy K Czech Ostrava 2 Compulsory study plan
2002/2003 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí K Czech Ostrava 2 Compulsory study plan
2002/2003 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství K Czech Ostrava 2 Compulsory study plan
2002/2003 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv K Czech Ostrava 2 Compulsory study plan
2002/2003 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů K Czech Ostrava 2 Compulsory study plan
2002/2003 (M3909) Process Engineering (3911T023) Quality Control Management K Czech Ostrava 2 Compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials K Czech Ostrava 2 Compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals K Czech Ostrava 2 Compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials K Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (3904T009) Environment Protection in Metalurgy P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T999) Metallurgy K Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T999) Metallurgy P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T999) Metallurgy (01) Transient Year /bachelor to magister/ P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy K Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy P Czech Ostrava 2 Compulsory study plan
2001/2002 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů P Czech Ostrava 2 Compulsory study plan
2001/2002 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství P Czech Ostrava 2 Compulsory study plan
2001/2002 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv P Czech Ostrava 2 Compulsory study plan
2001/2002 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí P Czech Ostrava 2 Compulsory study plan
2001/2002 (M3909) Process Engineering (3911T023) Quality Control Management P Czech Ostrava 2 Compulsory study plan
2001/2002 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials P Czech Ostrava 2 Compulsory study plan
2001/2002 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials P Czech Ostrava 2 Compulsory study plan
2001/2002 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals P Czech Ostrava 2 Compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T999) Metallurgy K Czech Ostrava 2 Compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T999) Metallurgy P Czech Ostrava 2 Compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T999) Metallurgy (01) Transient Year /bachelor to magister/ P Czech Ostrava 2 Compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy K Czech Ostrava 2 Compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy P Czech Ostrava 2 Compulsory study plan

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