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Laplace-muunnos (MATLT0114), 3 op
Basic information
| Course name: | Laplace-muunnos Laplace Transforms |
| Course Winha code: | MATLT0114 |
| Kurre acronym: | Lapl |
| Credits: | 3 |
| Type and level of course: | Basic studies |
| Year of study, semester or study period: | 1.year |
| Implementation: | Spring semester, 4.period |
| Semester: | 0708 |
| Language of tuition: | Suomi |
| Teacher: | Birgitta Nenonen-Andersson |
| Final assessment: | Grading scale (0-5) |
Descriptions
Prerequisites
MATLT0111
Course contents (core content level)
The concept of the Laplace transform
Finding Laplace transforms using tables
Inverse transforms using tables and partial fractions
Unit impulse, step and ramp functions, piecewise linear functions
The concept of a linear differential equation
Solving linear differential equations with Laplace transform
Differential equations of electrical circuits and solving them
Transfer function, stability of a system, responses
Matlab
Course contents (additional)
More complicated Laplace transforms and inverse transforms
Convolution
More demanding applications (to circuit problems)
Frequency response, Bode diagram
Core content level learning outcomes (knowledge and understanding)
The student knows the possibility of solving circuit problems using the Laplace transform. He knows the limitations of the method.
Core content level learning outcomes (skills)
The student can do Laplace transforms and inverse transforms
The student knows how to solve circuit problems using the Laplace transform
Recommended reading
Material specified by the lecturer
Teaching and learning strategies
Class room teaching: 28 h
Computer labs: 14 h
Project: 10 h
Exams: 4h
Student individual workload (workload analysis not carried out): 24 h
Total: 80 h
Teaching methods and student workload
Assessment weighting and grading
Exam (Minimum 40% of the maximum score)
Project
Approval of the computer labs
Related competences of the degree programme
Theoretical basis and mathematical and science skills