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Laplace-muunnos (MATLE0114), 3 op
Basic information
| Course name: | Laplace-muunnos Laplace Transform |
| Course Winha code: | MATLE0114 |
| Kurre acronym: | Lapl |
| Credits: | 3 |
| Type and level of course: | Basic studies |
| Year of study, semester or study period: | 2.year |
| Implementation: | Spring semester |
| Semester: | 0708 |
| Language of tuition: | Suomi |
| Teacher: | Jyrki Piila |
| Final assessment: | Grading scale (0-5) |
Descriptions
Prerequisites
MATLE0111, MATLE0112
Course contents (core content level)
- Laplace transform and inverse transform by using tables (or computer)
- The Classification of ordinary differential equations (= ODEs)
-Solving linear initial-value ODEs with constant coefficients by using Laplace transforms
-Solving problems related electrical circuits by using Laplace transforms
- Laplace transforms of signals with finite support
- Transfer function, frequency response and magnitude response of an amplifier
Course contents (additional)
- Problems in electricity with more than two electrical circuits
- Using Heaviside-formula in inverse Laplace transforms
Core content level learning outcomes (knowledge and understanding)
After completion of this course the student is able to produce Laplace transforms and inverse transforms of simple signals. The participant can solve the unknown current or voltage in the given problem related electronic circuits. Student is familiar with transfer functions and amplifiers.
Core content level learning outcomes (skills)
Student uses fluently computer when problems described above are concerned.
Recommended reading
All the necessary material (written by the lecturer) can be found in the internet address, which is given to students in the beginning of the course. If student wants more support to studies, the suitable book is e.g.
Launonen, Sorvali, Toivonen: Teknisten ammattien matematiikka 3E , WSOY.
Teaching and learning strategies
Class room teaching: 28 h
Laboratory exercises: 14 h
Project: 10 h
Exams: 6 h
Student individual workload 22 h (student workload analysis is not carried out)
Total: 80 h
Teaching methods and student workload
Assessment weighting and grading
In order to pass the course (grade 1), student should get 40% (in all) of the total score in two individual tests . The ability to write Matlab code is also checked in tests. Further the project work (in groups of two students) has to be completed successfully. Homework activity has influence on the grade.
Related competences of the degree programme
Theoretical basis and mathematical and science skills