310-2422/02 – Mathematical analysis III (MA III)

Gurantor department	Department of Mathematics and Descriptive Geometry	Credits	4
Subject guarantor	RNDr. Martin Swaczyna, Ph.D.	Subject version guarantor	RNDr. Martin Swaczyna, Ph.D.
Study level	undergraduate or graduate	Requirement	Compulsory
Year	2	Semester	summer
		Study language	English
Year of introduction	2019/2020	Year of cancellation
Intended for the faculties	FS	Intended for study types	Bachelor

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
KRC76	Mgr. Jiří Krček
SWA0013	RNDr. Martin Swaczyna, Ph.D.

Extent of instruction for forms of study
Form of study	Way 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

Other requirements

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: 2019/2020 Winter semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Credit and Examination	Credit and Examination	100 (100)	51
Credit	Credit	30	15
Examination	Examination	70	21	3

Mandatory attendence participation: 80 %

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Conditions for subject completion and attendance at the exercises within ISP: Mandatory participation in the course is not required. Other conditions for subject completion will respect the individual needs of the student.

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Occurrence in study plans

Academic year	Programme	Zaměření	Form	Study language	Tut. centre	Year	Type of duty
2024/2025	(B0588A170002) Applied Sciences and Technologies	MAT	P	English	Ostrava	2	Compulsory	study plan
2023/2024	(B0588A170002) Applied Sciences and Technologies	MAT	P	English	Ostrava	2	Compulsory	study plan
2022/2023	(B0588A170002) Applied Sciences and Technologies	MAT	P	English	Ostrava	2	Compulsory	study plan
2021/2022	(B0588A170002) Applied Sciences and Technologies	MAT	P	English	Ostrava	2	Compulsory	study plan
2020/2021	(B0588A170002) Applied Sciences and Technologies	MAT	P	English	Ostrava	2	Compulsory	study plan
2019/2020	(B0588A170002) Applied Sciences and Technologies	MAT	P	English	Ostrava	2	Compulsory	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction

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