Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 5 |

Subject guarantor | RNDr. Jan Kotůlek, Ph.D. | Subject version guarantor | doc. RNDr. Jarmila Doležalová, CSc. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 1999/2000 | Year of cancellation | 2011/2012 |

Intended for the faculties | FS | Intended for study types | Bachelor |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

BEL10 | Mgr. Jana Bělohlávková | ||

DLO44 | Mgr. Dagmar Dlouhá, Ph.D. | ||

DOL10 | RNDr. Milan Doležal, CSc. | ||

DOS14 | Mgr. Marie Dostálová | ||

DUD88 | Mgr. Krista Dudková | ||

KOT31 | RNDr. Jan Kotůlek, Ph.D. | ||

LUN44 | Mgr. Milena Luňáčková, Ph.D. | ||

MAR20 | RNDr. Radmila Murcková | ||

NIK01 | Ing. Marek Nikodým, Ph.D. | ||

OTI73 | Mgr. Petr Otipka | ||

SKN002 | Ing. Petra Schreiberová, Ph.D. | ||

SKA74 | Mgr. Sylvie Skalníková | ||

SVO19 | Mgr. Ivona Tomečková, Ph.D. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+2 |

Combined | Credit and Examination | 12+4 |

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 to
- analyze 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.

Lectures

Individual consultations

Tutorials

Other activities

The subject is divided into four chapters.
In the first chapter we study real functions of one real variable and their properties, in the second chapter we introduce the notion of derivative and study its properties and applications.
In the third chapter we study linear algebra. We introduce Gauss elimination method for solution of systems of linear algebraic equations. In the last chapter we apply it to the geometric problems in three-dimensional Euclidean space.

[1] BIRD, J.: Engineering Mathematics, 4th ed. Newnes 2003.
[2] DOLEŽALOVÁ, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3
[3] NEUSTUPA, J.: Mathematics I., ČVUT, Praha 2004

Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and Company, Lexington 1990, ISBN 0-669-21145-1
James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456
James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993. ISBN 0-201-56519-6

Course-credit
-participation on tutorials is obligatory, 20% of absence can be excused,
-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

http://www.studopory.vsb.cz
http://mdg.vsb.cz

more requierements are not

Subject code | Abbreviation | Title | Requirement |
---|---|---|---|

714-0365 | ZM | Basics of Mathematics | Compulsory |

Subject has no co-requisities.

Syllabus of lectures
1 Linear algebra. Vector spaces, bases, dimension.
2 Matrices, rank of a matrix.
3 Determinant. Matrix inversion.
4 Systems of linear equations, Gaussian elimination
5 Analytic geometry in Euclidean space. Dot product and cross product
6 Line and plane in 3D-Euclidean space.
7 Functions of one real variable (definitions and basic properties). Inverse functions
8 Elementary functions. Parametric and implicit functions
9 Limit of the function, continuous functions
10 Differential calculus functions of one real variable. Derivative (basic rules for differentiation). Parametric differentiation, higher-order derivatives
11 Applications of the derivatives, l'Hospital rule.
12 Applications of the derivatives on the construction of the graph.
Syllabus of tutorials
1 Linear algebra. Vector spaces, bases, dimension.
2 Matrices, rank of a matrix.
3 Determinant. Matrix inversion.
4 Systems of linear equations, Gaussian elimination
5 Analytic geometry in Euclidean space. Dot product and cross product
6 Line and plane in 3D-Euclidean space.
7 Functions of one real variable (definitions and basic properties). Inverse functions
8 Elementary functions. Parametric and implicit functions
9 Limit of the function, continuous functions
10 Differential calculus functions of one real variable. Derivative (basic rules for differentiation). Parametric differentiation, highes-order derivatives
11 Applications of the derivatives, l'Hospital rule.
12 Applications of the derivatives on the construction of the graph.

Conditions for completion are defined only for particular subject version and form of study

Academic year | Programme | Field of study | Spec. | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|

2010/2011 | (B2341) Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2010/2011 | (B2341) Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | ||||

2010/2011 | (B3712) Air Transport Technology | (3708R036) Air Operation Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2010/2011 | (B3712) Air Transport Technology | (3708R037) Aircraft Operation Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2010/2011 | (B3712) Air Transport Technology | (3708R038) Aircraft Maintenance Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2009/2010 | (B2341) Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | ||||

2009/2010 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | |||

2009/2010 | (B2341) Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2009/2010 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2009/2010 | (B3712) Air Transport Technology | (3708R037) Aircraft Operation Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2009/2010 | (B3712) Air Transport Technology | (3708R038) Aircraft Maintenance Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2009/2010 | (B3712) Air Transport Technology | (3708R036) Air Operation Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2008/2009 | (B3712) Air Transport Technology | (3708R037) Aircraft Operation Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2008/2009 | (B3712) Air Transport Technology | (3708R038) Aircraft Maintenance Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2008/2009 | (B2341) Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | ||||

2008/2009 | (B2341) Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2008/2009 | (B3712) Air Transport Technology | (3708R036) Air Operation Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2007/2008 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | ||

2007/2008 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2007/2008 | (B2341) Engineering | (3708R028) Transport Technology | (60) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2007/2008 | (B2341) Engineering | (3708R028) Transport Technology | (70) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2007/2008 | (B2341) Engineering | (3708R028) Transport Technology | (50) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2006/2007 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | ||

2006/2007 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2006/2007 | (B2341) Engineering | (3708R028) Transport Technology | (30) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2006/2007 | (B2341) Engineering | (3708R028) Transport Technology | (40) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2006/2007 | (B2341) Engineering | (3708R028) Transport Technology | (50) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2005/2006 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | ||

2005/2006 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2005/2006 | (B2341) Engineering | (3708R028) Transport Technology | (30) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2005/2006 | (B2341) Engineering | (3708R028) Transport Technology | (40) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2004/2005 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2004/2005 | (B2341) Engineering | (3708R028) Transport Technology | (30) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2004/2005 | (B2341) Engineering | (3708R028) Transport Technology | (40) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2003/2004 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2003/2004 | (B2341) Engineering | (3708R028) Transport Technology | (30) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2003/2004 | (B2341) Engineering | (3708R028) Transport Technology | (40) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2002/2003 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2002/2003 | (B2341) Engineering | (3708R028) Transport Technology | (30) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2002/2003 | (B2341) Engineering | (3708R028) Transport Technology | (40) | P | Czech | Ostrava | 1 | Compulsory | study plan | ||

2001/2002 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner |
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