# 714-0566/02 – Bachelor Mathematics I (BM I)

 Gurantor department Department of Mathematics and Descriptive Geometry Credits 5 Subject guarantor Mgr. Dagmar Dlouhá, Ph.D. Subject version guarantor Mgr. Dagmar Dlouhá, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 1 Semester winter Study language Czech Year of introduction 1999/2000 Year of cancellation 2019/2020 Intended for the faculties HGF Intended for study types Bachelor
Instruction secured by
DLO44 Mgr. Dagmar Dlouhá, Ph.D.
DUB02 RNDr. Viktor Dubovský, Ph.D.
URB0186 RNDr. Zbyněk Urban, Ph.D.
VOL18 RNDr. Jana Volná, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Part-time Credit and Examination 18+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 toanalyze 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

### Summary

The contents of the course is the introduction of common mathematical concepts and interpretation of their relations in connection to the methods of solving selected problems of three basic parts of mathematics, according to which the learning material is structured. In Differential Calculus, the main motive is the preparation to general use of derivatives of real functions of one variable. Under Linear algebra is an emphasis on interpretation of the basic methods for solving systems of linear equations. In Analytic geometry, there are, based on vector calculus, described basic linear formations of three-dimensional Euclidean space and some tools to evaluate their mutual position from qualitative and also quantitative point of view.

### Compulsory literature:

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3

### Recommended literature:

Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990, ISBN 0-669-21145-1 Leon, S., J.: Linear Algebra with Aplications, Macmillan Publishing Company, New York, 1986, ISBN 0-02-369810-1

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

Course-credit - participation on tutorials at least on 8 of 18 hours condition satisfying for 5 points, more participation for 0 - 15 points. Summary course 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 obtainsat 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 http://mdg.vsb.cz/wiki/public/ZM_MI_listy.pdf

### Other requirements

No more requirements.

### Prerequisities

Subject codeAbbreviationTitleRequirement
714-0565 ZM Basics of Mathematics Compulsory

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

1. Functions of one real variable (definitions and basic properties). Elementary functions. Limit of the function, continuity of the functions, basic rules. 2. Differential calculus of functions of one real variable: The derivative of a function (basic rules for differentiation). Derivatives of selected functions. Differential of the function. Taylor polynom. Parametric differentiation. Highes-order derivative. Applications of the derivatives. Monotonic functions and extremes of function, convexity and concavity of a function. 3. Linear algebra: Vectors, linear independence. Matrices (basic properties), determinants (basic properties, calculation, evaluation). Matrix inversion. Systems of linear equations, Cramer’s rule. Gaussian elimination 4. Analytical geometry in E3: Product of vectors (basic properties).

### Conditions for subject completion

Part-time form (validity from: 1960/1961 Summer semester, validity until: 2009/2010 Summer semester)
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (100) 51 3
Exercises evaluation Credit 20 (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
2018/2019 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2018/2019 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Most 1 Compulsory study plan
2018/2019 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2018/2019 (B1316) Geodesy, Cartography and Geoinformatics (3646R006) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2018/2019 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2018/2019 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2018/2019 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Most 1 Compulsory study plan
2018/2019 (B2102) Mineral Raw Materials (3902R064) System Engineering in Industry K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2102) Mineral Raw Materials (3902R064) System Engineering in Industry K Czech Most 1 Compulsory study plan
2018/2019 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2017/2018 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2017/2018 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Most 1 Compulsory study plan
2017/2018 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2017/2018 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2017/2018 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Most 1 Compulsory study plan
2017/2018 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2017/2018 (B2102) Mineral Raw Materials (3902R064) System Engineering in Industry K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2102) Mineral Raw Materials (3902R064) System Engineering in Industry K Czech Most 1 Compulsory study plan
2017/2018 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Most 1 Compulsory study plan
2017/2018 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (3902R064) System Engineering in Industry K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (3902R064) System Engineering in Industry K Czech Most 1 Compulsory study plan
2016/2017 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2016/2017 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Most 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Most 1 Compulsory study plan
2016/2017 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2016/2017 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Most 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Ostrava 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (3902R064) System Engineering in Industry K Czech Ostrava 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (3902R064) System Engineering in Industry K Czech Most 1 Compulsory study plan
2015/2016 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2015/2016 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Most 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2015/2016 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2015/2016 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Most 1 Compulsory study plan
2015/2016 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Most 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Ostrava 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2015/2016 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2014/2015 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2014/2015 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2014/2015 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2014/2015 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Ostrava 1 Compulsory study plan
2014/2015 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2014/2015 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2014/2015 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2014/2015 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2014/2015 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2014/2015 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2013/2014 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2013/2014 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2013/2014 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Most 1 Compulsory study plan
2013/2014 (B2111) Mining (2101R008) Mining Engineering K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2111) Mining (2101R008) Mining Engineering K Czech Most 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2013/2014 (B3646) Geodesy and Cartography (3646R006) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Most 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2012/2013 (B3646) Geodesy and Cartography (3646R006) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Most 1 Compulsory study plan
2012/2013 (B2111) Mining (2101R008) Mining Engineering K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2111) Mining (2101R008) Mining Engineering K Czech Most 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Most 1 Compulsory study plan
2012/2013 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2012/2013 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2011/2012 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2011/2012 (B3646) Geodesy and Cartography (3646R006) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2011/2012 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2111) Mining (2101R008) Mining Engineering K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2111) Mining (2101R008) Mining Engineering K Czech Most 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Most 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Most 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2010/2011 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2010/2011 (B3646) Geodesy and Cartography (3646R006) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2010/2011 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2111) Mining (2101R008) Mining Engineering K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2111) Mining (2101R008) Mining Engineering K Czech Most 1 Compulsory study plan
2010/2011 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2010/2011 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Most 1 Compulsory study plan
2010/2011 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Most 1 Compulsory study plan
2010/2011 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2010/2011 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2009/2010 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2009/2010 (B3646) Geodesy and Cartography (3646R006) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2009/2010 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2111) Mining (2101R008) Mining Engineering K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2111) Mining (2101R008) Mining Engineering K Czech Most 1 Compulsory study plan
2009/2010 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Most 1 Compulsory study plan
2009/2010 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2009/2010 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Most 1 Compulsory study plan
2009/2010 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2009/2010 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2009/2010 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Most 1 Compulsory study plan
2008/2009 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2111) Mining (2101R008) Mining Engineering K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2111) Mining (2101R008) Mining Engineering K Czech Most 1 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Most 1 Compulsory study plan
2008/2009 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2008/2009 (B3646) Geodesy and Cartography (3646R006) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (2102R003) Commerce Engineering in Raw Materials Treatment Industry K Czech Ostrava 1 Compulsory study plan
2008/2009 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2008/2009 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Most 1 Compulsory study plan
2007/2008 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2111) Mining (2101R008) Mining Engineering K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2111) Mining (2101R008) Mining Engineering K Czech Most 1 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Most 1 Compulsory study plan
2007/2008 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2007/2008 (B3646) Geodesy and Cartography (3646R006) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (2102R003) Commerce Engineering in Raw Materials Treatment Industry K Czech Ostrava 1 Compulsory study plan
2007/2008 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2007/2008 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Most 1 Compulsory study plan
2006/2007 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2111) Mining (2101R008) Mining Engineering K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2111) Mining (2101R008) Mining Engineering K Czech Most 1 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Most 1 Compulsory study plan
2006/2007 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2006/2007 (B3646) Geodesy and Cartography (3646R006) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2006/2007 (B2102) Mineral Raw Materials (2102R003) Commerce Engineering in Raw Materials Treatment Industry K Czech Ostrava 1 Compulsory study plan
2006/2007 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Most 1 Compulsory study plan
2005/2006 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2111) Mining (2101R008) Mining Engineering K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2111) Mining (2101R008) Mining Engineering K Czech Most 1 Compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Most 1 Compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Most 1 Compulsory study plan
2005/2006 (B3646) Geodesy and Cartography (3646R006) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Most 1 Compulsory study plan
2005/2006 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2005/2006 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Most 1 Compulsory study plan
2005/2006 (B2102) Mineral Raw Materials (2102R003) Commerce Engineering in Raw Materials Treatment Industry K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2102) Mineral Raw Materials (3902R006) Automation and Computers in Raw Material Industry K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2111) Mining (2101R008) Mining Engineering K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2102) Mineral Raw Materials (2102R006) Water Technologies and Water Management K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2102) Mineral Raw Materials (3904R022) Waste Treatment and Disposal K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2102) Mineral Raw Materials (3904R005) Environmental Engineering K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2102) Mineral Raw Materials (2102R001) Economics and Management in the Field of Raw Materials K Czech Ostrava 1 Compulsory study plan
2004/2005 (B3646) Geodesy and Cartography (3646R006) Geoinformatics K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2102) Mineral Raw Materials (6209R013) Information and System Management K Czech Ostrava 1 Compulsory study plan
2004/2005 (B3646) Geodesy and Cartography (3646R007) Engineering Geodesy K Czech Ostrava 1 Compulsory study plan
2004/2005 (B3646) Geodesy and Cartography (3646R001) Mining Surveying K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2102) Mineral Raw Materials (2102R013) Processing of Raw Materials and Recycling K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2102) Mineral Raw Materials (2102R003) Commerce Engineering in Raw Materials Treatment Industry K Czech Ostrava 1 Compulsory study plan
2003/2004 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2003/2004 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan
2002/2003 (B2102) Mineral Raw Materials (2102R012) Management of Resources of Building Mineral Raw Materials K Czech Ostrava 1 Compulsory study plan
2002/2003 (B3908) Fire Protection and Industrial Safety (3908R005) Engineering Safety of Persons and Property K Czech Ostrava 1 Compulsory study plan
2002/2003 (B3908) Fire Protection and Industrial Safety (3908R003) Emergency Planning and Crisis Management K Czech Ostrava 1 Compulsory study plan
2002/2003 (B3908) Fire Protection and Industrial Safety (3908R001) Occupational and Process Safety K Czech Ostrava 1 Compulsory study plan
2002/2003 (B3908) Fire Protection and Industrial Safety (3908R006) Fire Protection Engineering and Industrial Safety K Czech Ostrava 1 Compulsory study plan
2002/2003 (B2110) Geological Engineering (2101R003) Geological Engineering K Czech Ostrava 1 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner