470-2111/02 – Mathematical Analysis 2 (MA2)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantorMgr. Petr Vodstrčil, Ph.D.Subject version guarantorMgr. Petr Vodstrčil, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BAI0012 Ing. Michaela Bailová
LAM05 doc. RNDr. Marek Lampart, Ph.D.
SAD015 Ing. Marie Sadowská, Ph.D.
VOD03 Mgr. Petr Vodstrčil, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 10+10

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

During the semester we will write two tests.

E-learning

Další požadavky na studenta

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

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

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2019/2020 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2018/2019 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2018/2019 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2017/2018 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2017/2018 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2016/2017 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2016/2017 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2015/2016 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2015/2016 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
V - ECTS - bc. 2019/2020 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2018/2019 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2017/2018 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2016/2017 Full-time English Optional 401 - Study Office stu. block