470-2111/05 – Mathematical Analysis 2 (MA2)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantordoc. Mgr. Petr Vodstrčil, Ph.D.Subject version guarantorRNDr. Petra Vondráková, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFEI, FSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BER0061 Ing. Michal Béreš, Ph.D.
DOM0015 Ing. Simona Bérešová, Ph.D.
KRA0220 Ing. Jan Kracík, Ph.D.
KRA04 Mgr. Bohumil Krajc, Ph.D.
S1A64 RNDr. Petra Vondráková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 8+8

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:

BOUCHALA, Jiří; KRAJC, Bohumil. Introduction to Differential Calculus of Several Variables, 2022 http://am.vsb.cz/bouchala BOUCHALA, Jiří; VODSTRČIL, Petr; ULČÁK, David. Integral Calculus of Multivariate Functions, 2022 http://am.vsb.cz/bouchala

Recommended literature:

ANTON, Howard; BIVENS, Irl a DAVIS, Stephen. Calculus. 8th ed. Hoboken: Wiley, c2005. ISBN 0-471-48273-0.

Additional study materials

Way of continuous check of knowledge in the course of semester

Continuous Study Control: Students will write tests during the semester. They can get a maximum of 30 points from them. Conditions for getting the credit: The credit will be given if the student obtains at least 10 points. Written exam.

E-learning

Other requirements

Student should know calculus of functions of one variable.

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, tangent plane and linear approximations Taylor's theorem Extremes of more-variable real functions Differential equations Separable equations Linear equations Second order linear equations Applications of first-order and second-order differentials equations Exercises: More-variable real functions - domain, level curves, graphs Partial and directional derivatives Differential and gradient, tangent plane and linear approximations Taylor's theorem Extremes of more-variable real functions Differential equations. Separable equations Linear equations Second order linear equations Applications of first-order and second-order differentials equations

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester, validity until: 2021/2022 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30 (30) 10
                Domácí úkoly Other task type 15  0
                Zápočtový test Written test 15  0
        Examination Examination 70  21 3
Mandatory attendence participation: Participation at all lectures is expected.

Show history

Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2023/2024 Winter
2022/2023 Winter
2021/2022 Winter
2020/2021 Winter
2019/2020 Winter