Differential and Difference Equations
Informacje ogólne
| Kod przedmiotu: | 360-MS2-1RRRa | Kod Erasmus / ISCED: |
11.104
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(0541) Matematyka
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| Nazwa przedmiotu: | Differential and Difference Equations | ||
| Jednostka: | Wydział Matematyki | ||
| Grupy: | |||
| Punkty ECTS i inne: |
5.00  zobacz reguły punktacji |
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| Język prowadzenia: | angielski | ||
| Rodzaj przedmiotu: | obowiązkowe |
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| Tryb prowadzenia przedmiotu: | mieszany: w sali i zdalnie |
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| Skrócony opis: |
To familiarize the student with the theories of differential and difference equations, with special emphasis on the similarities and differences, and to deepen the ability to apply both theories in practice, with an emphasis on the accuracy of the choice of method to solve the problem and testing its stability. |
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| Pełny opis: |
Educational profile: general academic Form of studies: full-time Compulsory subject Field: mathematical sciences, discipline: mathematics Year of study: 1, semester: 2 Prerequisites: linear algebra, ordinary differential equations, mathematical analysis Lecture 30 hours, exercises 15 hours, laboratory 15 hours. Teaching methods: lectures, accounting exercises, consultations, work on literature, solving homework assignments, discussions in problem groups. ECTS credits: 5 Balance of student workload: participation in lectures 15x2h = 30h participation in exercises 15x2h = 30h preparation for classes 7x2h = 14h finishing the tasks started during the exercises and preparing notes at home after the classes 10x3h = 30h participation in consultations 3x1h = 3h preparation for the exam and participation in it 12h + 3h = 15h preparation for colloquiums 2x4h = 8h Quantitative indicators student workload related to classes requiring the direct participation of an academic teacher: 63 hours, 2 ECTS student workload related to classes of a practical nature: 70 hours, 3 ECTS |
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| Literatura: |
[1] Edwards, C.H., Penney, D.E, Calvis, D., DIFFERENTIAL EQUATIONS Computing and Modeling, Fifth Edition, Pearson Education, New Jersey 2014. [2] Elaydi N.S., An introduction to difference equations, Springer-Verlag New York, 1991. [3] Zill, D.G., A First Course in Differential Equations with Modeling Appli- cations, Tenth Edition, Brooks/ Cole, Cengage Learning, Boston 2013. |
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| Efekty uczenia się: |
He knows the basic concepts of the general theory of differential and difference (ordinary) equations. He can solve systems of linear differential and differential equations using appropriate analytical methods. He knows the basic theorem about the existence and uniqueness and knows how to investigate the existence of a solution to the initial problem. He can examine the stability of a solution to a differential and differential equation and systems of equations. Can independently search for information on a given topic in the literature, understands names and mathematical terms in foreign languages. The student is prepared to apply the acquired knowledge to solve certain problems. |
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| Metody i kryteria oceniania: |
lectures, tutorials, consultations, work on literature, solving homework, discussions in problem groups. Means of verification: written / oral exam; a series of cards; colloquium / colloquium; home accounting / problem work; presentation of solutions to tasks in the classroom; continuous observation of the student's activity; |
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Zajęcia w cyklu "Rok akademicki 2022/23" (jeszcze nie rozpoczęty)
| Okres: | 2022-10-01 - 2023-06-30 |
 
 zobacz plan zajęć |
| Typ zajęć: |
Ćwiczenia, 15 godzin więcej informacji Laboratorium, 15 godzin więcej informacji Wykład, 30 godzin więcej informacji |
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| Koordynatorzy: | Tomasz Czyżycki, Miroslava Růžičková, Aneta Sliżewska | |
| Prowadzący grup: | (brak danych) | |
| Lista studentów: | (nie masz dostępu) | |
| Zaliczenie: | Egzamin |
Właścicielem praw autorskich jest Uniwersytet w Białymstoku.