638-3015/01 – Mathematical methods of computer data processing (MMPZD)
| Gurantor department | Department of Automation and Computing in Industry | Credits | 5 |
| Subject guarantor | doc. Ing. Jiří David, Ph.D. | Subject version guarantor | doc. Ing. Jiří David, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2016/2017 | Year of cancellation | 2020/2021 |
| Intended for the faculties | FMT | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
The student will be able to interpret the concepts and principles of mathematical methods and numerical calculations using the Matlab software system in data processing in the field of engineering tasks.
He will have an overview of the methods and tools of computerized data processing in the design of materials and means for the automotive industry.
He will be able to apply selected methods and tools of computer data processing in solving practically oriented problems of practice using the Matlab environment.
It will be able to implement principles and methods in the processes and activities of industrial organizations.
Teaching methods
Lectures
Tutorials
Project work
Summary
347/5000
Objective of the course in terms of learning outcomes and competences The course is focused on acquiring a basic set of knowledge about the principles of mathematical methods of computer data processing in the solution of engineering calculations. Emphasis is placed on gaining practical experience with the use of the discussed methods, estimation of the errors of the result and demonstration of their properties in solving engineering problems using the Matlab program.
Compulsory literature:
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
Practical solutions to the task of engineering character of numerical methods and using software system Matlab.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Engineering tables and calculations
2. Problems errors, compliance and stability calculations.
3. Methods for solving nonlinear equations.
4. Direct methods for solving linear equations. Eigenvalues and vectors, their numerical calculation.
5. Iterative methods for solving linear equations.
6. Approximation of functions, least squares method
7. The interpolation function
8. Increasing the accuracy of calculations extrapolating
9. Complex tasks using analytical tools
10. Numerical calculation of integrals and derivatives
11. Linear Programming
12. Nonlinear Programming
13. The step methods for solving initial value problems for ordinary differential equations. Multistep methods.
14. Ordinary Differential Equations - initial value problems and boundary value problems.
15. The system of differential equations
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction