| Course title | Differential Equations |
|---|---|
| Course code | UMB/581 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | not specified |
| Frequency of the course | In each academic year, in the winter semester. |
| Semester | Winter |
| Number of ECTS credits | 5 |
| Language of instruction | Czech |
| Status of course | Compulsory, Compulsory-optional |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
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1. Boundary value problems for ODE 2. Solution of second order differential equations in the form of series. Superposition principle 3. Fourier series 4. Fourier method for solution of second order equations 5. Continuity equation 6. Diffusion approximation of random walk 7. Diffusion equation in R. 8. Diffusion equation with boundary conditions. 9. Wave equation, D'Alembert solution 10. Wave equation with boundary conditions. 11. String vibration 12. Laplace equation 13 . Linear partial differential equations
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| Learning activities and teaching methods |
Monologic (reading, lecture, briefing), E-learning
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| Learning outcomes |
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Introduction to boundary value problems.
Studens will be able o formulate, analyse, and solve elementary boundary value problems. |
| Prerequisites |
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Students are expected to know basics of differential equations at the level of the course UMB587 Introduction to differential equations
UMB/CV587 ----- or ----- UMB/587 and UMB/565 |
| Assessment methods and criteria |
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Combined exam, Interim evaluation
1. Attendance at least 80% 2. Score at least 50% from tests written during semester |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics (2010) | Category: Mathematics courses | 3 | Recommended year of study:3, Recommended semester: Winter |