714-0503/03 – Mathematics III (M III)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits5
Subject guarantordoc. RNDr. Radim Havelek, Ph.D.Subject version guarantordoc. RNDr. Radim Havelek, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageCzech
Year of introduction1999/2000Year of cancellation2005/2006
Intended for the facultiesHGFIntended for study typesMaster
Instruction secured by
LoginNameTuitorTeacher giving lectures
HAV10 doc. RNDr. Radim Havelek, Ph.D.
HRA20 RNDr. Radoslava Hradecká
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Combined Credit and Examination 16+0

Subject aims expressed by acquired skills and competences

This course is closed.

Teaching methods

Summary

Probability: probability of random events, independence of events, random variables, mean and variance, important distributions. Functions of several variables: partial differentiation, extremal values. Integral calculus of functions of two variables and its application. Line integral and its applications.

Compulsory literature:

Škrášek, J. - Tichý, Z.: Základy aplikované matematiky I, II, III, SNTL, Praha 1990 Doležalová, J., Pavelka, L.: Pravděpodobnost a statistika, skriptum VŠB – TU, Ostrava. Burda, P., Doležalová, J.: Cvičení z matematiky IV, skriptum VŠB – TU, Ostrava.

Recommended literature:

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Pravděpodobnost: pravděpodobnost náhodných jevů, nezávislost jevů, náhodná veličina, střední hodnota a rozptyl, důležitá rozdělení. Funkce více proměnných: parciální derivace, extrémy funkcí více proměnných, integrální počet funkcí dvou proměnných a jeho aplikace. Křivkový integrál a jeho aplikace.

Conditions for subject completion

Combined form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2004/2005 (M2111) Hornictví (2101T008) Mining Engineering K Czech Ostrava 2 Compulsory study plan
2003/2004 (M2111) Hornictví (2101T008) Mining Engineering K Czech Ostrava 2 Compulsory study plan
2002/2003 (M2111) Hornictví (2101T008) Mining Engineering K Czech Ostrava 2 Compulsory study plan
2001/2002 (M2111) Hornictví (2101T008) Mining Engineering K Czech Ostrava 2 Compulsory study plan
2000/2001 (M2111) Hornictví (2101T008) Mining Engineering K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner