457-0318/01 – Selected Parts of Mathematical Analysis (VPzMA)

Gurantor departmentDepartment of Applied MathematicsCredits6
Subject guarantorMgr. Petr Vodstrčil, Ph.D.Subject version guarantorMgr. Petr Vodstrčil, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageCzech
Year of introduction2003/2004Year of cancellation2009/2010
Intended for the facultiesFEIIntended for study typesMaster
Instruction secured by
LoginNameTuitorTeacher giving lectures
KAB002 Ing. Pavla Hrušková, Ph.D.
SIN29 RNDr. Libor Šindel
VOD03 Mgr. Petr Vodstrčil, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2
Combined Credit and Examination 10+10

Subject aims expressed by acquired skills and competences

Students will get the basic practical skills for working with fundamental concepts, methods and applications of integral calculus of one-variable real functions. In the second part, students will learn about differential calculus of more-variable real functions. In the last part of this subject students will be able to solve differential equations and their systems and study konvergence / divergence of number series.

Teaching methods

Lectures
Tutorials
Project work

Summary

This subject contains 4 basic themes: ----------------------------------- integral calculus of one-variable real functions, differential calculus of two and more-variable real functions, differential equations, number series.

Compulsory literature:

J. Bouchala, M. Sadowská: Mathematical Analysis I, VŠB-TUO.

Recommended literature:

L. Gillman, R. H. McDowell: Calculus, New York, W.W. Norton & Comp. Inc. 1973.

Way of continuous check of knowledge in the course of semester

During the semester we will write two tests and one semester project.

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Methods of integration (per-partes, substitution, partial fractions decomposition). Integration of special functions. Calculation of Riemann integral. Applications. Infinite integral. More-variable real functions. Partial and directional derivatives, differential and gradient. Taylor's theorem. Extremes of more-variable real functions. Linear differential equations and their systems. Number series.

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
        Examination Examination 70  0
        Exercises evaluation Credit 30 (30) 10
                1. zápočtový test Written test 10  0
                2. zápočtový test Written test 10  0
                Projekt Project 10  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2009/2010 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2009/2010 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2009/2010 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2009/2010 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2009/2010 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2009/2010 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2008/2009 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology P Czech Ostrava 2 Compulsory study plan
2008/2009 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology K Czech Ostrava 2 Compulsory study plan
2008/2009 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2008/2009 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2008/2009 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2008/2009 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2007/2008 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology P Czech Ostrava 2 Compulsory study plan
2007/2008 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology K Czech Ostrava 2 Compulsory study plan
2007/2008 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2007/2008 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2007/2008 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2007/2008 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2007/2008 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2007/2008 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2006/2007 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology P Czech Ostrava 2 Compulsory study plan
2006/2007 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology K Czech Ostrava 2 Compulsory study plan
2006/2007 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2006/2007 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2006/2007 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2006/2007 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2006/2007 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2006/2007 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2005/2006 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology P Czech Ostrava 2 Compulsory study plan
2005/2006 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology K Czech Ostrava 2 Compulsory study plan
2004/2005 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology P Czech Ostrava 2 Compulsory study plan
2004/2005 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology K Czech Ostrava 2 Compulsory study plan
2003/2004 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology P Czech Ostrava 2 Compulsory study plan
2003/2004 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T018) Electronics and Communication Technology K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner