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Mathematical Analysis 2

Type of study Bachelor
Language of instruction English
Code 470-2111/06
Abbreviation MA2
Course title Mathematical Analysis 2
Credits 4
Coordinating department Department of Applied Mathematics
Course coordinator RNDr. Petra Vondráková, Ph.D.

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

E-learning

Basic materials are available on LMS MOODLE.
Consultation through MS Teams.

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

Advised literature

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