Course objectives:
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The aim of this course is to introduce students to basic ideas, principles and using of the
integral and discrete tranforms (Z-transform, Laplace transform).
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Requirements on student
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Assignment requirements:
During semester, students have to write two assignments (in 6th and 13th weekof term).
It is necessary:
1) to obtain at least 1 point from every example in every test,
2) to obtain more than 55% from all possible points.
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Content
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Laplace transform, Z-transform - definitions, using, properties and application.
1. Entrance test, Laplace transform - definition and usage.
2. Laplace transform - properties and dictionary.
3. Inversive Laplace transform.
4. Using of Laplace transform for solving differential equations.
5. Application of Laplace transform in electrical engineering.
6. Test.
7. Properties of complex functions.
8. Z-transform - definition and usage.
9. Z-transform - properties and dictionary.
10. Inversive Z-transform.
11. Using of Z-transform for solving differential equations.
12. Application of Z-transform in electrical engineering.
13. Test.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Preparation for comprehensive test (10-40)
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26
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Contact hours
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26
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Total
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52
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
There is no prerequisite for this course. Students should have a basic knowledge of mathematical analysis, especially differential and integral calculus.
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Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
To integrate the functions of one real variable.
To compute the sum of geometric serie. |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
Upon completion of the course a student have a possibility to be able:
- know definition, properties and table of Laplace transform and Z-transform
- use transform for solving of differential and difference methods
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Skills - skills resulting from the course: |
Solve differential and difference equations using the transformations. |
Competences - competences resulting from the course: |
N/A |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Test |
Skills - skills achieved by taking this course are verified by the following means: |
Test |
Competences - competence achieved by taking this course are verified by the following means: |
Test |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Practicum |
Task-based study method |
Skills - the following training methods are used to achieve the required skills: |
Practicum |
Seminar |
Task-based study method |
Competences - the following training methods are used to achieve the required competences: |
Seminar |
Practicum |
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