Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 7 |

Subject guarantor | Mgr. Jiří Vrbický, Ph.D. | Subject version guarantor | Mgr. Jiří Vrbický, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2019/2020 | Year of cancellation | |

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

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

Login | Name | Tuitor | Teacher giving lectures |

KRC76 | Mgr. Jiří Krček |

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

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+3 |

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

Lectures

Individual consultations

Tutorials

Other activities

Linear Algebra: An algebraic vector, basic terms. A matrix, the rank of a
matrix, elementary treatments of a matrix. Systems of linear equations. A
determinant, determinant properties. Foundations of the matrix calculus.
The Real-Valued Function of a Real Variable: Definition, the domain of
definition, the range of values, the graph of a function. Properties of
functions. Inverse, composite functions. Basic elementary functions. The
sequence of real numbers and the limit of the sequence. The limit of a function
at a point. The continuity of a function.
The Derivation of a Function: Derivation definition and the geometric
significance of the derivation. The derivation of basic elementary functions.
Derivation Applications: A tangent and a normal. Monotony. Local and absolute
extreme values of a function. Convexity, concavity, inflection points.
Asymptotes. The behaviour of a function.
The Differential Calculus of Functions of Several Variables: The definition of
functions of two and several variables, the domain of definition. The partial
derivations of the first and higher orders.
The Indefinite Integral: An indefinite integral and a primitive function.
Basic formulas. Integration by parts. The method of substitution.

James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456

[1] 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 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

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

No special requirements.

Subject has no prerequisities.

Subject has no co-requisities.

1 Linear algebra: Vectors, matrice (basic properties).
2 Determinants (basic properties, calculation, evaluation).
3 Matrix inversion.
4 Systems of linear equations, Cramer’s rule, Gaussian elimination.
5 Functions of one real variable (definitions and basic properties).
6 Elementary functions.
7 Limit of the function, continuity of the functions , basic rules.
8 Differential calculus functions of one real variable. The derivative of function (basic rules for differentiation).
9 Derivatives of selected functions.
10 Differential of the function, parametric differentiation, highes-order derivative.
11 Applications of the derivatives.
12 Monotonic functions and extremes of function, convexity and concavity of a function.
13 Integral calculus: antiderivative and indefinite integral for functions of one variable.
14 Integration methods - substitution, integration by parts.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Credit and Examination | Credit and Examination | 100 (100) | 51 |

Credit | Credit | 20 | 5 |

Examination | Examination | 80 (80) | 30 |

písemka | Written test | 60 | 25 |

teorie | Oral examination | 20 | 5 |

Show history

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

2021/2022 | (B0214A270001) Art Foundry Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0214A270001) Art Foundry Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B2109) Metallurgical Engineering | (2109R031) Art Foundry Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0214A270001) Art Foundry 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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