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Automaation matemaattiset menetelmät (MATLA0120), 3 op
Basic information
| Course name: | Automaation matemaattiset menetelmät Mathematical Methods in Automation Technology |
| Course Winha code: | MATLA0120 |
| Kurre acronym: | Aut.Mat. |
| Credits: | 3 |
| Type and level of course: | Professional studies |
| Year of study, semester or study period: | 2.year |
| Implementation: | Autumn semester, 2.period |
| Semester: | 0607 |
| Language of tuition: | Suomi |
| Teacher: | Pirkka Peltola |
| Final assessment: | Grading scale (0-5) |
Descriptions
Prerequisites
Basic Course in Mathematics A, Basic Course in Mathematics B and Laplace Transforms
Course contents (core content level)
The concept of probability. Calculation of probabilities in elemantary situations. Estimation of probabilities by using computer simulations. Normal probability distributions. Control charts and their use.
Periodic functions and (complex) Fourier coefficients. Amplitude and phase spectra. Reconstruction of the original function by its Fourier series. Tranfer functions and their spectra. The idea of Fast Fourier Transform.
Simple dynamic systems (e.g. fluid flow and electric circuits) and their differential equations.
Course contents (additional)
Calculation of Fourier coefficients by using integration. Convergence of Fourier series.
General idea of the connection of dynamic systems and differential equations.
Core content level learning outcomes (knowledge and understanding)
The student understands the idea of control charts in statistical process control.
The student knows the idea of Fourier analysis and its relation to filters and fault diagnosis.
The student is aware of the role of differential equations as a common base for different techniques to analyze dynamic systems.
Core content level learning outcomes (skills)
The student is able to calculate simple probabilities, especially in the case of normal distributions. The student is able to construct and use Shewhart control charts.
Given the Fourier coefficients of the signal, the student is able to calculate amplitude and phase spectra and read them. Given the Fourier coefficients of the input signal and transfer function, the student is able to calculate the Fourier coefficients of the output signal. The student is able to use FFT with the help of mathematical programs .
The student is able to form differential equations representing fluid flow processes and electric circuits in simple situations.
Recommended reading
Printouts
Standard SFS 4360 (parts)
Teaching and learning strategies
Lectures and assignments.
Project.
Self study.
Laboratory assignments.
Exam.
Teaching methods and student workload
Exam
Lectures and assignments
Project
Laboratory assignments
Assessment weighting and grading
Assessment of the project.and computer exercises Final exam
Related competences of the degree programme
International and intercultural skills
Theoretical basis and mathematical and science skills
Information acquisition skills and adaptation of new knowledge