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Mathematical Models of Classical Mechanics

General data

Course ID: 1000-135MMK
Erasmus code / ISCED: 11.933 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0619) Information and Communication Technologies (ICTs), not elsewhere classified The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title: Mathematical Models of Classical Mechanics
Name in Polish: Modele matematyczne mechaniki klasycznej
Organizational unit: Faculty of Mathematics, Informatics, and Mechanics
Course groups: (in Polish) Przedmioty obieralne na studiach drugiego stopnia na kierunku bioinformatyka
Elective courses for 2nd stage studies in Mathematics
ECTS credit allocation (and other scores): 6.00 Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.

view allocation of credits
Language: English
Type of course:

elective courses

Prerequisites:

Mathematical analysis II.2 1000-114aAM4a
Ordinary differential equations I 1000-114aRRZa

Short description:

This is an introductory course of classical mechanics of interacting particles. Equations of motion in Newton, Lagrange, and Hamilton formulation will be analyzed. Variational calculus will be introduced.

The least action principle, conservation laws, canonical transformations are other topics discussed in this course.

Full description:

This is an introductory course of classical mechanics of interacting particles. Equations of motion in Newton, Lagrange, and Hamilton formulation will be analyzed. Variational calculus will be introduced.

The least action principle, conservation laws, canonical transformations are other topics discussed in this course.

Bibliography: (in Polish)

W. I. Arnold, Metody matematyczne mechaniki klasycznej. PWN, Warszawa 1981.

W. Rubinowicz, W. Królikowski, Mechanika teoretyczna. PWN, Warszawa 1978.

Learning outcomes:

Knowledge of the differential equations arising in the classical mechanics and of the methods of their analysis

Assessment methods and assessment criteria:

Written and oral exam

Classes in period "Summer semester 2023/24" (in progress)

Time span: 2024-02-19 - 2024-06-16
Selected timetable range:
Navigate to timetable
Type of class:
Classes, 30 hours more information
Lecture, 30 hours more information
Coordinators: Henryk Żołądek
Group instructors: Henryk Żołądek
Students list: (inaccessible to you)
Examination: Course - Examination
Lecture - Examination
Course descriptions are protected by copyright.
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00-927 Warszawa
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