suomeksi
in English
Laplace-muunnos (MATLA0114), 3 op
Basic information
| Course name: | Laplace-muunnos Laplace Transforms |
| Course Winha code: | MATLA0114 |
| Kurre acronym: | Lap |
| Credits: | 3 |
| Type and level of course: | Basic studies |
| Year of study, semester or study period: | 2.year |
| Implementation: | 1.period |
| Semester: | 0607 |
| Language of tuition: | Suomi |
| Teacher: | Pirkka Peltola |
| Final assessment: | Grading scale (0-5) |
Descriptions
Prerequisites
Basic Course in Mathematics A
Course contents (core content level)
The basic idea of the use of Laplace transforms. Most common functions and their Laplace transforms. Use of the table of Laplace transforms. Inverse Laplace transforms of simple rational functions. Use of partial fractions in relatively simple situations. Solving simple initial value problems by using Laplace transforms. Laplace transforms in electrical circuits. Transfer function of a system. Step and impulse responses. Stability. Use of mathematical programs in problems solved by using Laplace transforms.
Course contents (additional)
More complicated functions and their Laplace transforms. Inverse Laplace transforms of more complicated rational functions. Delayed functions and their Laplace transforms. Periodic functions and their Laplace transforms.
Core content level learning outcomes (knowledge and understanding)
The student knows that Laplace transforms can be applied to problems connected with electric circuits and control theory. The student is also aware of the restrictions of the Laplace transforms technique.
Core content level learning outcomes (skills)
The student is able to use table of Laplace transforms in connection with most common functions. The student is able to find inverse Laplace transforms of simple rational functions, and use partial fractions in simple situations. The student is able to find poles of a transfer function and decide whether the system is stable or not. Given the transfer function, the student is able to find step and impulse responses of the system.
Recommended reading
Printouts
Teaching and learning strategies
Lectures and assignments.
Self study.
Laboratory assignments.
Exam.
Teaching methods and student workload
Exam
Laboratory assignments
Assignments
Assessment weighting and grading
Assessment of computer exercises and assignments. 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