470-2103/01 – Mathematical Analysis II (MA2)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantorRNDr. Petra Vondráková, Ph.D.Subject version guarantorRNDr. Petra Vondráková, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageCzech
Year of introduction2010/2011Year of cancellation2022/2023
Intended for the facultiesUSP, FEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KRA0220 Ing. Jan Kracík, 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 10+10

Subject aims expressed by acquired skills and competences

The main task of this subject is to learn the basic knowledge and to gain practical skill concerning integral calculus of real function of one real variable. Furthermore, student will be able to solve ordinary differential equations of the first order and to analyze behaviour of functions of n real variables.

Teaching methods

Lectures
Tutorials

Summary

The subject consists of three parts: - integral calculus of real function of one real variable, - ordinary differential equations of the first order, - differential calculus of functions of n real variables.

Compulsory literature:

James Stewart: Calculus, 2008 Thomson, ISBN-13: 978-0-495-01160-6, ISBN-10: 0-495-01160-6

Recommended literature:

Bouchala J, Sadowská M.: Mathematical Analysis I, available from http://homel.vsb.cz/~bou10/MA_pro_IT/ma_pro_IT.html

Way of continuous check of knowledge in the course of semester

Průběžná kontrola studia: Studenti v průběhu semestru budou psát písemné testy. Za testy lze získat maximálně 30 bodů. Podmínky udělení zápočtu: Zápočet bude udělen, pokud student získá alespoň 10 bodů.

E-learning

Other requirements

Student should know differencial calculus of functions of one variable.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

The subject consists of three parts: integral calculus of real function of one real variable, ordinary differential equations of the first order, differential calculus of functions of n real variables.

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2021/2022 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2021/2022 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 2 Compulsory study plan
2020/2021 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 2 Compulsory study plan
2020/2021 (B2648) Designing of Electric Devices P Czech Ostrava 2 Compulsory study plan
2020/2021 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2020/2021 (B2649) Electrical Engineering (2612R003) Applied Electronics P Czech Ostrava 2 Compulsory study plan
2020/2021 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2020/2021 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2020/2021 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2020/2021 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2020/2021 (B2649) Electrical Engineering (2612R003) Applied Electronics K Czech Ostrava 2 Compulsory study plan
2020/2021 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2019/2020 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 2 Compulsory study plan
2019/2020 (B2648) Designing of Electric Devices P Czech Ostrava 2 Compulsory study plan
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2019/2020 (B2649) Electrical Engineering (2612R003) Applied Electronics P Czech Ostrava 2 Compulsory study plan
2019/2020 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2019/2020 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2019/2020 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2019/2020 (B2649) Electrical Engineering (2612R003) Applied Electronics K Czech Ostrava 2 Compulsory study plan
2019/2020 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2019/2020 (B3943) Mechatronics (3906R006) Mechatronics Systems P Czech Ostrava 2 Compulsory study plan
2019/2020 (B3943) Mechatronics (3906R006) Mechatronics Systems K Czech Ostrava 2 Compulsory study plan
2018/2019 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 2 Compulsory study plan
2018/2019 (B3973) Automotive Electronic Systems P Czech Ostrava 2 Compulsory study plan
2018/2019 (B2648) Designing of Electric Devices P Czech Ostrava 2 Compulsory study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2018/2019 (B2649) Electrical Engineering (2612R003) Applied Electronics P Czech Ostrava 2 Compulsory study plan
2018/2019 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2018/2019 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2018/2019 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2018/2019 (B2649) Electrical Engineering (2612R003) Applied Electronics K Czech Ostrava 2 Compulsory study plan
2018/2019 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2018/2019 (B3943) Mechatronics P Czech Ostrava 2 Compulsory study plan
2018/2019 (B3943) Mechatronics K Czech Ostrava 2 Compulsory study plan
2017/2018 (B2648) Designing of Electric Devices P Czech Ostrava 2 Compulsory study plan
2017/2018 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2017/2018 (B2649) Electrical Engineering (2612R003) Applied Electronics P Czech Ostrava 2 Compulsory study plan
2017/2018 (B2649) Electrical Engineering (2612R003) Applied Electronics K Czech Ostrava 2 Compulsory study plan
2017/2018 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2017/2018 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2017/2018 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2017/2018 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3973) Automotive Electronic Systems P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3943) Mechatronics P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3943) Mechatronics K Czech Ostrava 2 Compulsory study plan
2016/2017 (B3943) Mechatronics P Czech Ostrava 2 Compulsory study plan
2016/2017 (B3943) Mechatronics K Czech Ostrava 2 Compulsory study plan
2016/2017 (B2648) Designing of Electric Devices P Czech Ostrava 2 Compulsory study plan
2016/2017 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2016/2017 (B2649) Electrical Engineering (2612R003) Applied Electronics P Czech Ostrava 2 Compulsory study plan
2016/2017 (B2649) Electrical Engineering (2612R003) Applied Electronics K Czech Ostrava 2 Compulsory study plan
2016/2017 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2016/2017 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2016/2017 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2016/2017 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 2 Compulsory study plan
2015/2016 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2015/2016 (B2648) Designing of Electric Devices P Czech Ostrava 2 Compulsory study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2015/2016 (B2649) Electrical Engineering (2612R003) Applied Electronics P Czech Ostrava 2 Compulsory study plan
2015/2016 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2015/2016 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2015/2016 (B2649) Electrical Engineering (2612R003) Applied Electronics K Czech Ostrava 2 Compulsory study plan
2015/2016 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2015/2016 (B3943) Mechatronics P Czech Ostrava 2 Compulsory study plan
2015/2016 (B3943) Mechatronics K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2648) Designing of Electric Devices P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (2612R003) Applied Electronics P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (2612R003) Applied Electronics K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2014/2015 (B3943) Mechatronics P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3943) Mechatronics K Czech Ostrava 2 Compulsory study plan
2013/2014 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2013/2014 (B2648) Designing of Electric Devices P Czech Ostrava 2 Compulsory study plan
2013/2014 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Compulsory study plan
2013/2014 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Compulsory study plan
2013/2014 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 2 Compulsory study plan
2013/2014 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 2 Compulsory study plan
2013/2014 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2013/2014 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2013/2014 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2013/2014 (B3943) Mechatronics P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3943) Mechatronics (3906R006) Mechatronics Systems P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3943) Mechatronics (3906R007) Automotive Electronics P Czech Ostrava 2 Compulsory study plan
2013/2014 (B3943) Mechatronics (3906R006) Mechatronics Systems K Czech Ostrava 2 Compulsory study plan
2013/2014 (B3943) Mechatronics (3906R007) Automotive Electronics K Czech Ostrava 2 Compulsory study plan
2012/2013 (B2648) Designing of Electric Devices P Czech Ostrava 2 Compulsory study plan
2012/2013 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2012/2013 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Compulsory study plan
2012/2013 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2012/2013 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 2 Compulsory study plan
2012/2013 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2012/2013 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Compulsory study plan
2012/2013 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2012/2013 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 2 Compulsory study plan
2012/2013 (B3943) Mechatronics (3906R006) Mechatronics Systems P Czech Ostrava 2 Compulsory study plan
2012/2013 (B3943) Mechatronics (3906R007) Automotive Electronics P Czech Ostrava 2 Compulsory study plan
2012/2013 (B3943) Mechatronics (3906R006) Mechatronics Systems K Czech Ostrava 2 Compulsory study plan
2012/2013 (B3943) Mechatronics (3906R007) Automotive Electronics K Czech Ostrava 2 Compulsory study plan
2011/2012 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Compulsory study plan
2011/2012 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2011/2012 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 2 Compulsory study plan
2011/2012 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2011/2012 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Compulsory study plan
2011/2012 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2011/2012 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 2 Compulsory study plan
2011/2012 (B2648) Designing of Electric Devices P Czech Ostrava 2 Compulsory study plan
2011/2012 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2011/2012 (B3943) Mechatronics P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3943) Mechatronics (3906R006) Mechatronics Systems P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3943) Mechatronics (3906R007) Automotive Electronics P Czech Ostrava 2 Compulsory study plan
2011/2012 (B3943) Mechatronics K Czech Ostrava 2 Compulsory study plan
2011/2012 (B3943) Mechatronics (3906R006) Mechatronics Systems K Czech Ostrava 2 Compulsory study plan
2011/2012 (B3943) Mechatronics (3906R007) Automotive Electronics K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2648) Designing of Electric Devices P Czech Ostrava 2 Compulsory study plan
2010/2011 (B2648) Designing of Electric Devices K Czech Ostrava 2 Compulsory study plan
2010/2011 (B3943) Mechatronics P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3943) Mechatronics (3906R007) Automotive Electronics P Czech Ostrava 2 Compulsory study plan
2010/2011 (B3943) Mechatronics K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2019/2020 Winter
2018/2019 Winter
2017/2018 Winter
2016/2017 Winter
2015/2016 Winter
2014/2015 Winter
2013/2014 Winter
2012/2013 Winter
2011/2012 Winter
2010/2011 Winter