470-2111/06 – Mathematical Analysis 2 (MA2)
| Gurantor department | Department of Applied Mathematics | Credits | 4 |
| Subject guarantor | doc. Mgr. Petr Vodstrčil, Ph.D. | Subject version guarantor | RNDr. Petra Vondráková, Ph.D. |
| Study level | undergraduate or graduate | | |
| | Study language | English |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FEI, FS | Intended for study types | Bachelor |
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:
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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:
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
Recommended literature:
Additional study materials
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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