714-2665/01 – Mathematics I (M I)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits7
Subject guarantorMgr. Jiří Vrbický, Ph.D.Subject version guarantorMgr. Jiří Vrbický, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageCzech
Year of introduction2014/2015Year of cancellation
Intended for the facultiesFMTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KRC76 Mgr. Jiří Krček
LUN44 Mgr. Milena Luňáčková, Ph.D.
MOR74 Mgr. Zuzana Morávková, 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
Combined Credit and Examination 22+0

Subject aims expressed by acquired skills and competences

The goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithmus and methods. Students should learn how to analyze problem,suggest a method of solution, analyze correctness of achieved results with respect to given conditions.

Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

Summary

Differential calculus of function of one real independent variable: function of 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:

[1] Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3 [2] Kreml, P.: Mathematics II, VŠB – TUO, Ostrava 2005, ISBN 80-248-0798-X

Recommended literature:

[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/M/

Další požadavky na studenta

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

Full-time form (validity from: 2014/2015 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 20  5
        Examination Examination 80 (80) 30
                písemka Written test 60  25
                teorie Oral examination 20  5
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2018/2019 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2018/2019 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2018/2019 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 1 Compulsory study plan
2018/2019 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2018/2019 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 1 Compulsory study plan
2018/2019 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 1 Compulsory study plan
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2018/2019 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2018/2019 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2018/2019 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 1 Compulsory study plan
2018/2019 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 1 Compulsory study plan
2018/2019 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 1 Compulsory study plan
2018/2019 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2018/2019 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2018/2019 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 1 Compulsory study plan
2017/2018 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2017/2018 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 1 Compulsory study plan
2017/2018 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 1 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 1 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 1 Compulsory study plan
2016/2017 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2016/2017 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 1 Compulsory study plan
2016/2017 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 1 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 1 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2015/2016 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 1 Compulsory study plan
2015/2016 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 1 Compulsory study plan
2015/2016 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials P Czech Ostrava 1 Compulsory study plan
2015/2016 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 1 Compulsory study plan
2015/2016 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 1 Compulsory study plan
2015/2016 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 1 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 1 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 1 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 1 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 1 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 1 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 1 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry K Czech Ostrava 1 Compulsory study plan
2014/2015 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner