714-0763/01 – Mathematical analysis III (MA III)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits4
Subject guarantordoc. RNDr. Jaroslav Vlček, CSc.Subject version guarantordoc. RNDr. Jaroslav Vlček, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageCzech
Year of introduction2015/2016Year of cancellation2018/2019
Intended for the facultiesUSP, FSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KUC14 prof. RNDr. Radek Kučera, Ph.D.
VLC20 doc. RNDr. Jaroslav Vlček, CSc.
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 subject offers basic knowledges of vector analysis related to mathematical physics. The main goals are oriented to - fundamental knowledges of mathematical analysis of vectorial functions, - an use of differential operators in application problems, - the appropriating of computational methods for curvilinear and surface integrals, - an overview of main field theory aspects with relation to the solving of PDE.

Teaching methods

Lectures
Tutorials

Summary

This subject presents the part of basic mathematical course in the bachelor degree.

Compulsory literature:

MEJLBRO, L. Calculus 2b – Real Functions in Several Variables. http://bookboon.com/cs/calculus-2b-3-ebook. ISBN 87-7681-206-5.

Recommended literature:

SPIEGEL, R. M., LIPSCHUTZ, S., SPELLMAN, D. Vector Analysis, 2nd edition, McGraw-Hill, 2009, ISBN 978-7161-545-7

Way of continuous check of knowledge in the course of semester

pass two written test (2 x 10 points)

E-learning

Další požadavky na studenta

participation on tutorials is obligatory, 20% of absence can be apologized

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Scalar and vector fields. 2. Differential operators. 3. Local characteristics of vector fields. 4. Curvilinear integrals. 5. Surface integrals. 6. Global characteristics of vector fields. 7. Introduction to the potential theory. 8. Integral representation of solution of several second-order PDE.

Conditions for subject completion

Full-time form (validity from: 2015/2016 Summer 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  15
        Examination Examination 70  21
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2018/2019 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 2 Compulsory study plan
2016/2017 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 2 Compulsory study plan
2015/2016 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner