470-2111/04 – Mathematical Analysis 2 (MA2)

Gurantor department	Department of Applied Mathematics	Credits	3
Subject guarantor	doc. Mgr. Petr Vodstrčil, Ph.D.	Subject version guarantor	doc. Mgr. Petr Vodstrčil, Ph.D.
Study level	undergraduate or graduate	Requirement	Compulsory
Year	1	Semester	summer
		Study language	English
Year of introduction	2019/2020	Year of cancellation
Intended for the faculties	FEI	Intended for study types	Bachelor

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
KRA04	Mgr. Bohumil Krajc, Ph.D.
SAD015	Ing. Marie Sadowská, Ph.D.
VOD03	doc. Mgr. Petr Vodstrčil, Ph.D.

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Full-time	Graded credit	2+1

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.

Teaching methods

Lectures
Tutorials

Summary

This subject contains following topics: ----------------------------------- differential calculus of two and more-variable real functions, integral calculus of more-variable real functions or differential equations (according to the version)

Compulsory literature:

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

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

Credit tests will be written during the semester.

E-learning

Other requirements

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 real functions. Partial and directional derivatives, differential and gradient. - Taylor's theorem. - Extremes of more-variable real functions. - Definition of double integral, basic properties. Fubini theorems for double integral. - Transformation of double integral, aplications of double integral. - Definition of triple integral, basic properties. Fubini theorems for triple integral. - Transformation of triple integral, aplications of triple integral. Exercises: - More-variable real functions. Partial and directional derivatives, differential and gradient. - Taylor's theorem. - Extremes of more-variable real functions. - Definition of double integral, basic properties. Fubini theorems for double integral. - Transformation of double integral, aplications of double integral. - Definition of triple integral, basic properties. Fubini theorems for triple integral. - Transformation of triple integral, aplications of triple integral.

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
Graded credit	Graded credit	100	51	3

Mandatory attendence participation: participation at all exercises is obligatory, 2 apologies are accepted participation at all lectures is expected

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Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines.

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Occurrence in study plans

Academic year	Programme	Zaměření	Form	Study language	Tut. centre	Year	Type of duty
2022/2023	(B0613A140010) Computer Science	TZI	P	English	Ostrava	1	Compulsory	study plan
2021/2022	(B0613A140010) Computer Science	TZI	P	English	Ostrava	1	Compulsory	study plan
2020/2021	(B0613A140010) Computer Science	TZI	P	English	Ostrava	1	Compulsory	study plan
2019/2020	(B0613A140010) Computer Science	TZI	P	English	Ostrava	1	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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