714-0691/01 – Mathematics on PC I (MnP1)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits2
Subject guarantorMgr. Zuzana Morávková, Ph.D.Subject version guarantorMgr. Zuzana Morávková, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year1Semesterwinter
Study languageCzech
Year of introduction2004/2005Year of cancellation
Intended for the facultiesFMTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
MOR74 Mgr. Zuzana Morávková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+1

Subject aims expressed by acquired skills and competences

The goal of this course is to introduce to students available mathematical software. This course can help the students to uderstant better the topics covered in "Mathematics I" because of large number of solved examples. For a bachelor and/or a Engineer it is important not only to master the theory but also to use mathematical software efficiently.

Teaching methods

Individual consultations
Tutorials
Project work
Other activities

Summary

The goal of this course is to introduce to students available mathematical software. This course can help the students to uderstant better the topics covered in "Mathematics I" because of large number of solved examples. For a bachelor and/or a Engineer it is important not only to master the theory but also to use mathematical software efficiently. The Course Includes an Algebraic Vector,Elementary Treatments of a Matrix,Systems of Linear Equations, a Determinant, Inverse matrices, The Real-Valued Function of a Real Variable,the Derivation of a Function, Derivation Applications,the Differential Calculus of Functions of Several Variables. The Emphasis Will Be on Applications of Lectured Topics.

Compulsory literature:

Kutzler B., Kokol-Voljc V.: Introduction to Derive 5., Texas Instuments, 2000.

Recommended literature:

Kreml, Pavel: Mathematics II, VŠB – TUO, Ostrava 2005, ISBN 80-248-0798-X Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990, ISBN 0-669-21145-1

Way of continuous check of knowledge in the course of semester

Tests and credits ================= Exercises --------- Conditions for obtaining credit points ( 85 CP): - participation in exercises, 20% can be to apologize - completion of one written test - completion of the projekt

E-learning

Další požadavky na studenta

Lessons are parallel with Mathematics I.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject codeAbbreviationTitle
714-0665 M I Mathematics I

Subject syllabus:

1. Introduction to math-software. Inputof numbers, variables, operations and functions. Vectors and linear independence of vectors. 2. Matrices, input of matrices, matrix product, Rank and determinant of matrix, Invertible matrix, Linear systems. 3. Elementary math functions and graphs. 4. Limits and derivative of functios 5. Aplications of derivative. Parametric function and graphs. 6. Monotonic functions and extremes of function, convexity and concavity of a function 7. Analytic geometry

Conditions for subject completion

Full-time form (validity from: 2010/2011 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation Credit 85 (85) 20
        Test Written test 60  15
        Other task type Other task type 25  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 Optional study plan
2017/2018 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Optional study plan
2016/2017 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Optional study plan
2015/2016 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Optional study plan
2014/2015 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Optional study plan
2013/2014 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Optional study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Optional study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Optional study plan
2013/2014 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Optional study plan
2013/2014 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Optional study plan
2013/2014 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Optional study plan
2013/2014 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Optional study plan
2013/2014 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Optional study plan
2013/2014 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Optional study plan
2013/2014 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Optional study plan
2013/2014 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Optional study plan
2013/2014 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Optional study plan
2013/2014 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Optional study plan
2013/2014 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Optional study plan
2013/2014 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Optional study plan
2012/2013 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Optional study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Optional study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Optional study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Optional study plan
2012/2013 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Optional study plan
2012/2013 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Optional study plan
2012/2013 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Optional study plan
2012/2013 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Optional study plan
2012/2013 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Optional study plan
2012/2013 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Optional study plan
2012/2013 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Optional study plan
2012/2013 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Optional study plan
2012/2013 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Optional study plan
2012/2013 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Optional study plan
2012/2013 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Optional study plan
2011/2012 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Optional study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Optional study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Optional study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Optional study plan
2011/2012 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Optional study plan
2011/2012 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Optional study plan
2011/2012 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Optional study plan
2011/2012 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Optional study plan
2011/2012 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Optional study plan
2011/2012 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Optional study plan
2011/2012 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Optional study plan
2011/2012 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Optional study plan
2011/2012 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Optional study plan
2011/2012 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Optional study plan
2011/2012 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Optional study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Optional study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Optional study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Optional study plan
2010/2011 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Optional study plan
2010/2011 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Optional study plan
2010/2011 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Optional study plan
2010/2011 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Optional study plan
2010/2011 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Optional study plan
2010/2011 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Optional study plan
2010/2011 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Optional study plan
2010/2011 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Optional study plan
2010/2011 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Optional study plan
2010/2011 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Optional study plan
2010/2011 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Optional study plan
2010/2011 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Optional study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Optional study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Optional study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Optional study plan
2009/2010 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Optional study plan
2009/2010 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Optional study plan
2009/2010 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Optional study plan
2009/2010 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Optional study plan
2009/2010 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Optional study plan
2009/2010 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Optional study plan
2009/2010 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Optional study plan
2009/2010 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Optional study plan
2009/2010 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Optional study plan
2009/2010 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Optional study plan
2009/2010 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Optional study plan
2009/2010 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Optional study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Optional study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Optional study plan
2008/2009 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Optional study plan
2008/2009 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Optional study plan
2008/2009 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Optional study plan
2008/2009 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Optional study plan
2008/2009 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Optional study plan
2008/2009 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Optional study plan
2008/2009 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Optional study plan
2008/2009 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Optional study plan
2008/2009 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Optional study plan
2008/2009 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Optional study plan
2008/2009 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Optional study plan
2008/2009 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Optional study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Optional study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Optional study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Optional study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Optional study plan
2007/2008 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Optional study plan
2007/2008 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Optional study plan
2007/2008 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Optional study plan
2007/2008 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Optional study plan
2007/2008 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Optional study plan
2007/2008 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Optional study plan
2007/2008 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Optional study plan
2007/2008 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Optional study plan
2007/2008 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Optional study plan
2007/2008 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Optional study plan
2007/2008 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Optional study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Optional study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Optional study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Optional study plan
2006/2007 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Optional study plan
2006/2007 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Optional study plan
2006/2007 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Optional study plan
2006/2007 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Optional study plan
2006/2007 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Optional study plan
2006/2007 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Optional study plan
2006/2007 (B3909) Process Engineering (3909R009) Process Technologies of Waste Material Recycling P Czech Ostrava 1 Optional study plan
2006/2007 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Optional study plan
2006/2007 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Optional study plan
2006/2007 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Optional study plan
2006/2007 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Optional study plan
2006/2007 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 1 Optional study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Optional study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Optional study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Optional study plan
2005/2006 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Optional study plan
2005/2006 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Optional study plan
2005/2006 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Optional study plan
2005/2006 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Optional study plan
2005/2006 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Optional study plan
2005/2006 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Optional study plan
2005/2006 (B3909) Process Engineering (3909R009) Process Technologies of Waste Material Recycling P Czech Ostrava 1 Optional study plan
2005/2006 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Optional study plan
2005/2006 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Optional study plan
2005/2006 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Optional study plan
2005/2006 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Optional study plan
2004/2005 (B2109) Metallurgical Engineering (2109R033) Foundry Technologies P Czech Ostrava 1 Optional study plan
2004/2005 (B2109) Metallurgical Engineering (2109R034) Forming Technologies and Material Treatment P Czech Ostrava 1 Optional study plan
2004/2005 (B2109) Metallurgical Engineering (2109R035) Technologies of Metal Production P Czech Ostrava 1 Optional study plan
2004/2005 (B2109) Metallurgical Engineering (3904R020) Thermal Engineering and the Environment P Czech Ostrava 1 Optional study plan
2004/2005 (B3909) Process Engineering (2805R001) Chemistry and Technology of Environmental Protection P Czech Ostrava 1 Optional study plan
2004/2005 (B3909) Process Engineering (2811R002) Fuel Chemistry and Technology P Czech Ostrava 1 Optional study plan
2004/2005 (B3909) Process Engineering (3911R008) Chemical and Physical Methods of Material Testing P Czech Ostrava 1 Optional study plan
2004/2005 (B3923) Materials Engineering (3911R028) Material Diagnostics P Czech Ostrava 1 Optional study plan
2004/2005 (B3923) Materials Engineering (3911R029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Optional study plan
2004/2005 (B3923) Materials Engineering (3911R030) Engineering Materials P Czech Ostrava 1 Optional study plan
2004/2005 (B3922) Economics and Management of Industrial Systems (3902R040) Automation and Computing in Industry P Czech Ostrava 1 Optional study plan
2004/2005 (B3922) Economics and Management of Industrial Systems (3902R041) Quality Management P Czech Ostrava 1 Optional study plan
2004/2005 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner