| Course Unit Code | 470-2103/01 |
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| Number of ECTS Credits Allocated | 4 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Second Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| S1A64 | RNDr. Petra Vondráková, Ph.D. |
| KRA0220 | Ing. Jan Kracík, Ph.D. |
| Summary |
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The subject consists of three parts:
- integral calculus of real function of one real variable,
- ordinary differential equations of the first order,
- differential calculus of functions of n real variables. |
| Learning Outcomes of the Course Unit |
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| The main task of this subject is to learn the basic knowledge and to gain practical skill concerning integral calculus of real function of one real variable. Furthermore, student will be able to solve ordinary differential equations of the first order and to analyze behaviour of functions of n real variables. |
| Course Contents |
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The subject consists of three parts:
integral calculus of real function of one real variable,
ordinary differential equations of the first order,
differential calculus of functions of n real variables.
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| Recommended or Required Reading |
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| Required Reading: |
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| James Stewart: Calculus, 2008 Thomson, ISBN-13: 978-0-495-01160-6, ISBN-10: 0-495-01160-6 |
J. Bouchala: Matematická analýza 1, skripta VŠB-TU Ostrava, 2000
Š. Hošková, J. Kuben, P. Račková: Integrální počet funkcí jedné proměnné, VŠB - TU Ostrava, 2006, dostupné z http://homel.vsb.cz/~s1a64/cd
J. Kuben, P. Račková, Š. Mayerová, P. Šarmanová: Diferenciální počet funkcí více proměnných, VŠB - TU Ostrava, 2012, dostupné z mi21.vsb.cz
J. Čepička, P. Girg, P. Nečesal, J. Polák: Herbář funkcí, VŠB - TU Ostrava a ZČU Plzeň, 2012, dostupné z mi21.vsb.cz
B. Krajc, P. Beremlijski: Obyčejné diferenciální rovnice, VŠB - TU Ostrava, 2012, dostupné z mi21.vsb.cz
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| Recommended Reading: |
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| Bouchala J, Sadowská M.: Mathematical Analysis I, available from http://homel.vsb.cz/~bou10/MA_pro_IT/ma_pro_IT.html |
J. Kuben, P. Šarmanová: Diferenciální počet funkcí jedné proměnné, VŠB - TU Ostrava, 2006, dostupné z http://homel.vsb.cz/~s1a64/cd
J. Brabec, F. Martan, Z. Rozenský: Matematická analýza I, SNTL, Praha, 1985
J. Brabec, B. Hrůza: Matematická analýza II, SNTL, Praha, 1986
B. Budinský, J. Charvát: Matematika I, SNTL, Praha, 1987
B. Budinský, J. Charvát: Matematika II, SNTL, Praha, 1990
J. Kopáček: Matematická analýza pro fyziky I, Matfyzpress, Praha, 1997
J. Kopáček: Matematická analýza pro fyziky II, Matfyzpress, Praha, 1998 |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |
| Exercises evaluation | Credit | 30 (30) | 10 |
| Zápočtový test I | Written test | 10 | 0 |
| Zápočtový test II | Written test | 10 | 0 |
| Zápočtový test III | Written test | 10 | 0 |
| Examination | Examination | 70 | 21 |