Gurantor department | Department of Applied Mathematics | Credits | 6 |

Subject guarantor | prof. RNDr. Jiří Bouchala, Ph.D. | Subject version guarantor | prof. RNDr. Jiří Bouchala, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2010/2011 | Year of cancellation | |

Intended for the faculties | FMT, FEI, HGF, FS, USP | Intended for study types | Bachelor |

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

Login | Name | Tuitor | Teacher giving lectures |

BOU10 | prof. RNDr. Jiří Bouchala, Ph.D. | ||

SAD015 | Ing. Marie Sadowská, Ph.D. |

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

Form of study | Way of compl. | Extent |

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

Students will get basic practical skills for work with fundamental concepts, methods and applications of differential and integral calculus of one-variable real functions.

Lectures

Tutorials

In the first part of this subject, there are fundamental properties of the set of real numbers mentioned. Further, basic properties of elementary functions are recalled. Then limit of sequence, limit of function, and continuity of function are defined and their basic properties are studied. Differential and integral calculus of one-variable real functions is essence of this course.

L. Gillman, R. H. McDowell: Calculus, New York, W.W. Norton & Comp. Inc. 1973.
M. Demlová, J. Hamhalter: Calculus I, skripta ČVUT Praha 1996.

J. Stewart: Calculus, Belmont, California, Brooks/Cole Pub. Comp. 1987.

Průběžná kontrola studia:
Studenti v průběhu semestru budou psát písemné testy. Za testy lze získat maximálně 30 bodů.
Podmínky udělení zápočtu:
K získání zápočtu je nutné získat minimálně 10 bodů.

Additional requirements for students are not.

Subject has no prerequisities.

Subject has no co-requisities.

Real Number System; the Supremum Theorem.
Real Functions of a Single Real Variable.
Elementary Functions.
Sequences of Real Numbers.
Limit and Continuity of a Function.
Differential and Derivative of a Function.
Basic Theorems of Differential Calculus.
Function Behaviour.
Approximation of a Function by a Polynomial.
Antiderivative (Indefinite Integral).
Riemann’s (Definite) Integral.

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

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

Exercises evaluation | Credit | 30 | 10 |

Examination | Examination | 70 | 21 |

Show history

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

2019/2020 | (B3942) Nanotechnology | (3942R001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B3942) Nanotechnology | (3942R001) Nanotechnology | P | English | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B0719A270001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B3968) Applied Sciences and Technologies | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0588A170003) Applied Sciences and Technologies | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2018/2019 | (B3942) Nanotechnology | (3942R001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2018/2019 | (B3942) Nanotechnology | (3942R001) Nanotechnology | P | English | Ostrava | 1 | Compulsory | study plan | |||

2018/2019 | (B3968) Applied Sciences and Technologies | (3901R076) Applied Sciences and Technologies | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2018/2019 | (B1701) Physics | (1702R001) Applied Physics | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2017/2018 | (B1701) Physics | (1702R001) Applied Physics | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2017/2018 | (B3942) Nanotechnology | (3942R001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2017/2018 | (B3968) Applied Sciences and Technologies | (3901R076) Applied Sciences and Technologies | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2016/2017 | (B3968) Applied Sciences and Technologies | (3901R076) Applied Sciences and Technologies | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2016/2017 | (B3942) Nanotechnology | (3942R001) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2016/2017 | (B1701) Physics | (1702R001) Applied physics | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2016/2017 | (B1701) Physics | (1702R001) Applied Physics | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2015/2016 | (B1701) Physics | (1702R001) Applied physics | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2015/2016 | (B3942) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2015/2016 | (B3968) Applied Sciences and Technologies | (3901R076) Applied Sciences and Technologies | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2014/2015 | (B1701) Physics | (1702R001) Applied physics | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2014/2015 | (B3942) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2013/2014 | (B1701) Physics | (1702R001) Applied physics | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2013/2014 | (B3942) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2012/2013 | (B3942) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2011/2012 | (B3942) Nanotechnology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2010/2011 | (B3942) Nanotechnology | 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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