470-2111/06 – 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 languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFS, FEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KRA04 Mgr. Bohumil Krajc, Ph.D.
SAD015 Ing. Marie Sadowská, 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:

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

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

Full-time form (validity from: 2019/2020 Winter 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
                1st test Written test 15  0
                2nd test Written test 15  0
        Examination Examination 70  21 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 yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0714A060017) Biomedical Technology P English Ostrava 2 Compulsory study plan
2024/2025 (B0714A060019) Biomedical Assistive Technology P English Ostrava 2 Compulsory study plan
2024/2025 (B0714A060020) Electrical Engineering P English Ostrava 2 Compulsory study plan
2024/2025 (B0714A150002) Control and Information Systems P English Ostrava 2 Compulsory study plan
2023/2024 (B0714A060020) Electrical Engineering P English Ostrava 2 Compulsory study plan
2023/2024 (B0714A150002) Control and Information Systems P English Ostrava 2 Compulsory study plan
2023/2024 (B0714A060017) Biomedical Technology P English Ostrava 2 Compulsory study plan
2023/2024 (B0714A060019) Biomedical Assistive Technology P English Ostrava 2 Compulsory study plan
2022/2023 (B0714A060017) Biomedical Technology P English Ostrava 2 Compulsory study plan
2022/2023 (B0714A060017) Biomedical Technology K English Ostrava 2 Compulsory study plan
2022/2023 (B0714A060019) Biomedical Assistive Technology P English Ostrava 2 Compulsory study plan
2022/2023 (B0714A150002) Control and Information Systems P English Ostrava 2 Compulsory study plan
2022/2023 (B0714A150004) Computer Systems for the Industry of the 21st. Century P English Ostrava 2 Compulsory study plan
2022/2023 (B0714A060020) Electrical Engineering P English Ostrava 2 Compulsory study plan
2021/2022 (B0714A060017) Biomedical Technology P English Ostrava 2 Compulsory study plan
2021/2022 (B0714A060017) Biomedical Technology K English Ostrava 2 Compulsory study plan
2021/2022 (B0714A060019) Biomedical Assistive Technology P English Ostrava 2 Compulsory study plan
2021/2022 (B0714A060020) Electrical Engineering P English Ostrava 2 Compulsory study plan
2021/2022 (B0714A150004) Computer Systems for the Industry of the 21st. Century P English Ostrava 2 Compulsory study plan
2021/2022 (B0714A150002) Control and Information Systems P English Ostrava 2 Compulsory study plan
2021/2022 (B0713A060006) Electrical Power Engineering P English Ostrava 2 Compulsory study plan
2021/2022 (B0714A060013) Applied Electronics P English Ostrava 2 Compulsory study plan
2020/2021 (B0714A150002) Control and Information Systems P English Ostrava 2 Compulsory study plan
2020/2021 (B0714A150004) Computer Systems for the Industry of the 21st. Century P English Ostrava 2 Compulsory study plan
2020/2021 (B0714A060017) Biomedical Technology K English Ostrava 2 Compulsory study plan
2020/2021 (B0714A060017) Biomedical Technology P English Ostrava 2 Compulsory study plan
2020/2021 (B0714A060019) Biomedical Assistive Technology P English Ostrava 2 Compulsory study plan
2020/2021 (B0714A060013) Applied Electronics P English Ostrava 2 Compulsory study plan
2020/2021 (B0714A060009) Mobile Technology P English Ostrava 2 Compulsory study plan
2020/2021 (B0714A060011) Telecommunication Technology P English Ostrava 2 Compulsory study plan
2020/2021 (B0713A060006) Electrical Power Engineering P English Ostrava 2 Compulsory study plan
2020/2021 (B0713A060008) Automotive Electronic Systems P English Ostrava 2 Compulsory study plan
2020/2021 (B0714A060020) Electrical Engineering P English Ostrava 2 Compulsory study plan
2019/2020 (B0714A150002) Control and Information Systems P English Ostrava 2 Compulsory study plan
2019/2020 (B0714A060011) Telecommunication Technology P English Ostrava 2 Compulsory study plan
2019/2020 (B0714A150004) Computer Systems for the Industry of the 21st. Century P English Ostrava 2 Compulsory study plan
2019/2020 (B3973) Automotive Electronic Systems P English Ostrava 2 Compulsory study plan
2019/2020 (B0714A060009) Mobile Technology P English Ostrava 2 Compulsory study plan
2019/2020 (B0713A060006) Electrical Power Engineering P English Ostrava 2 Compulsory study plan
2019/2020 (B0714A060017) Biomedical Technology P English Ostrava 2 Compulsory study plan
2019/2020 (B0714A060017) Biomedical Technology K English Ostrava 2 Compulsory study plan
2019/2020 (B0714A060013) Applied Electronics P English Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
ECTS - bc. 2024/2025 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. (nezveřejňovat) 2023/2024 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2023/2024 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2022/2023 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2021/2022 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2020/2021 Full-time English Optional 401 - Study Office stu. block

Assessment of instruction

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