470-4116/01 – 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
Year1Semesterwinter
Study languageCzech
Year of introduction2010/2011Year of cancellation
Intended for the facultiesFEIIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
SIM46 Mgr. Lenka Přibylová
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 learn about differential calculus of more-variable real functions. In the second part students will get the basic practical skills for working with fundamental concepts, methods and applications of integral calculus of more-variable real functions. In the last part of this subject students will be able to solve differential equations.

Teaching methods

Lectures
Tutorials
Project work

Summary

This subject contains 3 basic topics: ----------------------------------- differential calculus in two and more-variables, integral calculus in more-variables, differential equations.

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

There are not defined other requirements for student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

More-variable real functions. Partial and directional derivatives, differential and gradient. Taylor's theorem. Extremes of more-variable real functions. Definition of Riemann double integral, basic properties. Fubini theorems for double integral. Transformation of double integral, aplications of double integral. Definition of Riemann triple integral, basic properties. Fubini theorems for triple integral. Transformation of triple integral, aplications of triple integral. Linear differential equations and their systems. Number series.

Conditions for subject completion

Full-time form (validity from: 2010/2011 Winter semester, validity until: 2011/2012 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 30 (30) 10
                1st test Written test 10  0
                2nd test Written test 10  0
                Project Project 10  0
        Examination Examination 70  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2014/2015 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2014/2015 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2014/2015 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2014/2015 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2014/2015 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2014/2015 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2013/2014 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2013/2014 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2013/2014 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2013/2014 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2013/2014 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2013/2014 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2012/2013 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2012/2013 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2012/2013 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2012/2013 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2012/2013 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2012/2013 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2011/2012 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2011/2012 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2011/2012 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2010/2011 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2010/2011 (N2647) Information and Communication Technology (2601T013) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2010/2011 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2010/2011 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Compulsory study plan
2010/2011 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2010/2011 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner