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

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantorMgr. 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
KRA0220 Ing. Jan Kracík, Ph.D.
SIN29 RNDr. Libor Šindel
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
Combined 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.

E-learning

Další požadavky na studenta

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 points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30 (30) 10
                1. písemka Written test 15  0
                2. písemka Written test 15  0
        Examination Examination 70  21
Mandatory attendence parzicipation: Participation at all exercises is obligatory, 2 apologies are accepted. Participation at all lectures is expected.

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Occurrence in study plans

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Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner