470-4116/04 – Selected Parts of Mathematical Analysis (VPzMA)
| Gurantor department | Department of Applied Mathematics | Credits | 5 |
| 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 | winter |
| | Study language | English |
| Year of introduction | 2015/2016 | Year of cancellation | |
| Intended for the faculties | FEI | Intended for study types | Follow-up Master |
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.
In the last part of this subject students will be able to solve differential equations.
Teaching methods
Lectures
Tutorials
Project work
Summary
This subject contains 3 basic topics:
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differential calculus in two and more-variables,
integral calculus in more-variables,
differential equations.
Compulsory literature:
J. Bouchala, M. Sadowská: Mathematical Analysis I, VŠB-TUO.
Recommended literature:
L. Gillman, R. H. McDowell: Calculus, New York, W.W. Norton & Comp. Inc. 1973.
Additional study materials
Way of continuous check of knowledge in the course of semester
During the semester we will write two tests and one semester project.
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:
More-variable real functions. Partial and directional derivatives, differential and gradient.
Taylor's theorem.
Extremes of more-variable real functions.
Definition of Riemann double integral, basic properties. Fubini theorems for double integral.
Transformation of double integral, aplications of double integral.
Definition of Riemann triple integral, basic properties. Fubini theorems for triple integral.
Transformation of triple integral, aplications of triple integral.
Linear differential equations.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.