457-0039/01 – Integral Transforms (ITHGF)

Gurantor departmentDepartment of Applied MathematicsCredits0
Subject guarantordoc. Ing. Nina Častová, CSc.Subject version guarantordoc. Ing. Nina Častová, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year3Semesterwinter
Study languageCzech
Year of introduction1992/1993Year of cancellation2001/2002
Intended for the facultiesHGFIntended for study typesMaster
Instruction secured by
LoginNameTuitorTeacher giving lectures
HOR33 doc. Ing. David Horák, 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

Teaching methods

Summary

Complex functions of real variable and of a complex variable. Complex differentiation, conformed mappings. Cauchy integral theorem Complex series: power series, Taylor and Laurent series. The residue theorem. Convolution sequences and of continuous function. The Laplace Transform, Inverse Laplace Transform. Continuous orthogonal systems of Function. Fourier series. Generalized Fourier series. The Fourier Transform. Applications. The Z – Transform.

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:

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 40 (40) 0
                Project Project 20  0
                Written exam Written test 20  0
        Examination Examination 60 (60) 0
                Written examination Written examination 60  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2009/2010 (N2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 1 Compulsory study plan
2008/2009 (N2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 1 Compulsory study plan
2004/2005 (M2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 3 Compulsory study plan
2003/2004 (M2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 3 Compulsory study plan
2002/2003 (M2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 3 Compulsory study plan
2001/2002 (M2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 3 Compulsory study plan
2000/2001 (M2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 3 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner