Continuous Dynamical Systems 360-MS2-2CDSa
Educational profile: general academic
Form of study: full-time
Mandatory item
Academic discipline: science and natural science, field of study in the arts and science: mathematics
Year of study: 1, semester: 2
Prerequisites: linear algebra, ordinary differential equations, mathematical analysis
lecture 30 hours. exercises 30 hours
Didactic methods: lectures, calculation exercises, consultations, work on literature, solving homework, discussions in problem groups.
ECTS points: 5
Student workload balance:
participation in lectures 15x2h = 30h
participation in exercises 15x2h = 30h
preparation for classes 7x2h = 14h
completion of solving tasks started during classes and preparation of notes after classes at home 10x3h = 30h participation in consultations 3x1h = 3h
preparation for the exam and participation in it 12h + 3h = 15h
preparation for tests 2x4h = 8h
Quantitative indicators
student workload related to classes requiring the direct participation of an academic teacher: 63 hours, 2 ECTS
Rodzaj przedmiotu
Tryb prowadzenia przedmiotu
Koordynatorzy przedmiotu
Efekty kształcenia
Directional learning outcomes:
KA7_WG02, KA7_WG03, KA7_WG04, KA7_WG05, KA7_WG06, KA7_UU01, KA7_UW02, KA7_UW06, KA7_UW13, KA7_UW14, KA7_KK01.
The student has in-depth knowledge of the theory of autonomous dynamical systems and their applications; Knows the limitations of his own knowledge and understands the need for further education; Can independently search for information on a given topic in the literature, understands names and mathematical terms in Polish and English; The student is prepared to apply the acquired knowledge in solving certain problems in various fields.
Kryteria oceniania
Classes - credit based on the results of two tests and activity and attendance at classes:
1. Colloquium results. It is necessary to obtain at least 50% of points from each colloquium.
2. Exercise activity. During the semester, you can receive a total of 10 points for active participation in the exercises.
3. Attendance at classes. Two unexcused absences from classes are allowed. Each subsequent absence must be justified with a relevant certificate or made up.
In the case of not getting 51%, it is possible to write a credit for the entire semester. This credit can be taken by persons who have obtained at least 30% of the points from the colloquia (calculated as the arithmetic mean).
The exam is written.
1. A student who has passed the exercises is admitted to the exam.
2. A total of 10 points can be awarded for active participation in the exercises - the instructor will suggest.
3. A total of 90 points can be obtained for the written part of the exam.
It consists of 3 parts containing theoretical questions.
So a student can get a total of 100 points from all parts. The final grade is in accordance with the presented grading scale:
90% -100% - rating: very good;
80% - 89% - rating: good plus;
70% - 79% - rating: good;
60% - 69% - rating: sufficient plus; 46% - 59% - rating: satisfactory; 0% - 45% - rating: unsatisfactory.
In the case of a small number of missing points to pass or a better grade (up to 5% of the exam points), an oral exam is possible.
Literatura
[1] J.Diblík, M. Růžičková, E. Schmeidel, Równania różniczkowe zwyczajne II, stabilność rozwiązań, Wydawnictwo UwB 2023.
[2] G Bowtell, Dynamical Systems, Centre for Mathematical Science, City University London, 2011.
[3] Gerald Teschl, Ordinary Differential Equations and Dynamical Systems, American Mathematical Society (AMS).
Więcej informacji
Dodatkowe informacje (np. o kalendarzu rejestracji, prowadzących zajęcia, lokalizacji i terminach zajęć) mogą być dostępne w serwisie USOSweb: