470-2111/03 – Mathematical Analysis 2 (MA2)
| Gurantor department | Department of Applied Mathematics | Credits | 3 |
| Subject guarantor | doc. Mgr. Petr Vodstrčil, Ph.D. | Subject version guarantor | doc. Mgr. Petr Vodstrčil, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FEI | 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:
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
Credit tests will be written during the semester.
E-learning
Other requirements
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction