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Differential and Difference Equations

Informacje ogólne

Kod przedmiotu: 360-MS2-1RRRa Kod Erasmus / ISCED: 11.104 / (0541) Matematyka
Nazwa przedmiotu: Differential and Difference Equations
Jednostka: Wydział Matematyki
Grupy:
Punkty ECTS i inne: 5.00
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Język prowadzenia: angielski
Rodzaj przedmiotu:

obowiązkowe

Tryb prowadzenia przedmiotu:

mieszany: w sali i zdalnie

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.

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

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.

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.

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;

Zajęcia w cyklu "Rok akademicki 2022/23" (jeszcze nie rozpoczęty)

Okres: 2022-10-01 - 2023-06-30
Wybrany podział planu:


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Typ zajęć: Ćwiczenia, 15 godzin więcej informacji
Laboratorium, 15 godzin więcej informacji
Wykład, 30 godzin więcej informacji
Koordynatorzy: Tomasz Czyżycki, Miroslava Růžičková, Aneta Sliżewska
Prowadzący grup: (brak danych)
Lista studentów: (nie masz dostępu)
Zaliczenie: Egzamin
Opisy przedmiotów w USOS i USOSweb są chronione prawem autorskim.
Właścicielem praw autorskich jest Uniwersytet w Białymstoku.