714-0505/01 – Mathematics IV - SI (MIVSI)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits4
Subject guarantorprof. RNDr. Radek Kučera, Ph.D.Subject version guarantorprof. RNDr. Radek Kučera, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageCzech
Year of introduction1999/2000Year of cancellation2008/2009
Intended for the facultiesHGFIntended for study typesMaster
Instruction secured by
LoginNameTuitorTeacher giving lectures
KUC14 prof. RNDr. Radek Kučera, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

This course is closed

Teaching methods

Summary

Compulsory literature:

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:

Osnova přednášek a cvičení: =========================== 1. Eliminace, maticové operace a inverse. 2. LU-rozklad a LDU-rozklad, transponování a permutace. 3. Vektorové prostory a podprostory, báze a dimense. 4. Lineární zobrazení, matice lineárního zobrazení, nulový prostor. 5. Obdélníkový rozklad PA=LU a jeho použití. 6. Grafy a matice. 7. Ortogonalita, projekce. 8. Aproximace nejmenšími čtverci. 9. Gramm-Schmidtův ortogonalizační proces, QR-rozklad. 10. Vlastní čísla a vlastní vektory. 11. Singulární rozklad a pseudoinverze. 12. Variační metody řešení soustav lineárních rovnic. 13. Základy matematického programování. 14. Rezerva

Conditions for subject completion

Full-time 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 (100) 51
        Exercises evaluation Credit 20 (20) 0
                Project Project 5  0
                Written exam Written test 15  0
        Examination Examination 80 (80) 0
                Written examination Written examination 60  0
                Oral Oral examination 20  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2004/2005 (M2102) Mineral Raw Materials (3902T033) systems Engineering in Raw Materials Treatment Industry P Czech Ostrava 2 Compulsory study plan
2003/2004 (M2102) Mineral Raw Materials (3902T033) systems Engineering in Raw Materials Treatment Industry P Czech Ostrava 2 Compulsory study plan
2002/2003 (M2102) Mineral Raw Materials (3902T033) systems Engineering in Raw Materials Treatment Industry P Czech Ostrava 2 Compulsory study plan
2001/2002 (M2102) Mineral Raw Materials (3902T033) systems Engineering in Raw Materials Treatment Industry P Czech Ostrava 2 Compulsory study plan
2000/2001 (M2102) Mineral Raw Materials (3902T033) systems Engineering in Raw Materials Treatment Industry P Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner