Ordinary Differential Equations 360-MS1-2RRa
Education profile: general academic
Form of studies: full-time
Compulsory subject
Field of exact and natural sciences; discipline: Mathematics
Year of studies: 2, semester: 4
Prerequisites: Mathematical analysis, Linear algebra
lecture 30 hrs. exercises 30 hrs.
Didactic methods: lectures, calculation exercises, consultations, work on literature, solving homework, discussions in problem groups.
ECTS points: 4
Student workload balance:
participation in lectures 15x2h = 30h
participation in tutorials 7x4h + 2h (instruction) = 30h
preparation for classes 7x3h = 21h
finishing solving tasks started during tutorials and developing notes at home after classes (lectures, tutorials) 7x2h = 14h
participation in consultations 5x2h = 10h
preparation for and participation in the exam 15h + 4h = 19h
Quantitative indicators
student workload related to classes requiring direct participation of an academic teacher: 74 hours.
Rodzaj przedmiotu
Tryb prowadzenia przedmiotu
Koordynatorzy przedmiotu
Efekty kształcenia
Learning outcomes within the subject:
Knows the basic concepts of the theory of ordinary differential equations and understands the geometric interpretation of a differential equation. KA6_WG05, KA6_WK01,
Can solve elementary ordinary differential equations using appropriate analytical methods. KA6_WG02,
KA6_UW06, KA6_UW11, KA6_UW12, KA6_UK01,
Knows the basic theorems on existence and uniqueness and can investigate the existence of a solution to an initial value problem. KA6_WG01,
KA6_WG03, KA6_UU01, KA6_KK01
Kryteria oceniania
Exercises
1. The following written assignments are planned: tests, quizzes, homework. The instructor sets two dates for each test, with the second date being a make-up date.
2. If a student has 3 or more unexcused absences, this is grounds for failing the exercises.
3. The final grade is the points earned on tests, quizzes, and homework. Final grades are awarded according to the following criteria:
• 100%-91% - very good
• 81%-90% - good plus
• 71%-80% - good
• 61%-70% - satisfactory plus
• 51%-60% - satisfactory
• Less than 50% of possible points - insufficient
4. The instructor may raise the grade by 0.5 points if the student demonstrated great activity during classes or passed all tests at the first possible time.
The exam is written.
1. The student who passes the exercises is admitted to the exam.
2. For active participation in the exercises, a total of 10 points can be received - the instructor will propose.
3. A total of 90 points can be received for the written part of the exam.
It consists of 3 parts containing theoretical questions.
So the student can receive a total of 100 points from all parts.
Depending on the number of points obtained, the final grade is in accordance with the presented grading scale:
91 -100 = very good;
81 - 90 = good plus;
71 - 80 = good;
61 - 70 = satisfactory plus;
51 - 60 = satisfactory;
0 - 50 = insufficient.
In the case of a small number of missing points to pass, or a better grade (up to 5% of exam points), an oral exam is possible.
Literatura
[1] J.Diblík, M. Růžičková, E. Schmeidel, Równania różniczkowe zwyczajne I, istnienie i jednoznaczność rozwiązania oraz podstawowe
metody rozwiązywania, Wydawnictwo UwB 2021.
[2] W.I.Arnold, Równania różniczkowe zwyczajne, PWN 1975.
[3] N.M.Matwiejew, Metody całkowania równań różniczkowych zwyczajnych, PWN 1986.
[4] M.Gewert,, Z. Skoczylas, Równania różniczkowe zwyczajne, Teoria, przykłady, zadania, GiS 2001.
Więcej informacji
Dodatkowe informacje (np. o kalendarzu rejestracji, prowadzących zajęcia, lokalizacji i terminach zajęć) mogą być dostępne w serwisie USOSweb: