Academic year/semester: 2024/25/2

ECTS Credits: 4

Available for: Only for the faculty’s students

Lecture hours: 2
Seminarium:-
Practice: 2
Laboratory: -
Consultation: -

Prerequisites: -

Course Leader: László Dr. HANKA

Faculty: Bánki Donát Faculty of Mechanical and Safety Engineering, 1081 Budapest, Népszínház utca 8.

Course Description:
The purpose of the lecture is to present efficient mathematical tools that can be successfully applied in engineering sciences. In the framework of the practice lessons, the students deepen their
knowledge through practical tasks, thereby becoming able to solve complex engineering problems at the end of the semester.

Competences:
-

Topics:
1. Indefinite integral, basic concepts, integration rules.
2. Integration by parts. Integration by substitution.
3. Definite integral, basic concepts, calculation of area. Newton-Leibniz theorem.
4. Applications. Arc length, volume of a surface of revolution.
5. Matrix algebra, basic operations. Product of matrices. Determinants. Inverse of a matrix.
6. Systems of linear equations. Gauss and Gauss-Jordan method.
7. Eigenvalue and eigenvector of a linear map.
8. Functions of two variables, partial derivative.
9. Error estimation. Local extrema.
10. Double integrals over rectangular and normal domain.
11. Number series, basic concepts. Geometric series. Convergence tests.
12. Function series, basic concepts. domain of convergence.
13. Taylor series, applications, Taylor formula, error estimation.
14. Applications of Taylor series. Integration and approximation.

Assessment: exam

Exam Types:

Written Exam

Compulsory bibliography: -

Recommended bibliography: -

Additional bibliography: -

Additional Information: https://bgk.uni-obuda.hu/tai/wp-content/uploads/2024/02/BTXMME2BNFMathematics_II_Mechatronics.pdf