Mathematical Analysis II

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Course Unit Code470-2103/01
Number of ECTS Credits Allocated4 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *First Cycle
Year of Study *Second Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
S1A64RNDr. Petra Vondráková, Ph.D.
KRA0220Ing. Jan Kracík, Ph.D.
Summary
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
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
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.
Recommended or Required Reading
Required Reading:
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
Recommended Reading:
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
Lectures, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Exercises evaluation and ExaminationCredit and Examination100 (100)51
        Exercises evaluationCredit30 (30)10
                Zápočtový test IWritten test10 0
                Zápočtový test IIWritten test10 0
                Zápočtový test IIIWritten test10 0
        ExaminationExamination70 21