470-4121/02 – Selected Parts of Applied Mathematics (VKzAM)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantorMgr. Petr Vodstrčil, Ph.D.Subject version guarantorMgr. Petr Vodstrčil, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year2Semesterwinter
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEIIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
VOD03 Mgr. Petr Vodstrčil, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 10+10

Subject aims expressed by acquired skills and competences

After completing the course the student will be able to work with more-variable real functions. He will be able to find extremes of such functions. In addition, the student will be able to calculate the derivative of functionals and also seek their extremes.

Teaching methods

Lectures
Tutorials

Summary

This subject contains the following themes: - more-variable functions, extremes - function spaces - functionals and their extremes - applications

Compulsory literature:

H. Anton, I. Bivens, S. Davis: Calculus, 2009 L.E. Elsgolc: Calculus of Variations, 2007

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.

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:

Lectures: - more-variable functions, partial derivatives, Schwarz theorem - gradient - relative extremes - extremum problems with constraints - absolute extremes - numerical methods - linear spaces, norm linear spaces - function spaces, functionals - derivative of functional - extremes of functionals, Euler-Lagrange equation - applications Exercises: - more-variable functions, partial derivatives, Schwarz theorem - gradient - relative extremes - extremum problems with constraints - absolute extremes - numerical methods - linear spaces, norm linear spaces - function spaces, functionals - derivative of functional - extremes of functionals, Euler-Lagrange equation - applications

Conditions for subject completion

Full-time form (validity from: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30  10
        Examination Examination 70  21
Mandatory attendence parzicipation: participation at all exercises is obligatory, 2 apologies are accepted participation at all lectures is expected

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P English Ostrava 2 Optional study plan
2019/2020 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K English Ostrava 2 Optional study plan
2018/2019 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P English Ostrava 2 Optional study plan
2018/2019 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K English Ostrava 2 Optional study plan
2017/2018 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P English Ostrava 2 Optional study plan
2017/2018 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K English Ostrava 2 Optional study plan
2016/2017 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P English Ostrava 2 Optional study plan
2016/2017 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K English Ostrava 2 Optional study plan
2015/2016 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P English Ostrava 2 Optional study plan
2015/2016 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K English Ostrava 2 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner