Mechanics and Special Relativity

General data

Course ID:	1100-1INZ22
Erasmus code / ISCED:	13.201 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. / (unknown)
Course title:	Mechanics and Special Relativity
Name in Polish:	Mechanika i szczególna teoria względności
Organizational unit:	Faculty of Physics
Course groups:
Course homepage:	https://www.fuw.edu.pl/~psulkows/2020-mechanika-stw.html
ECTS credit allocation (and other scores):	(not available) 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:	Polish
Type of course:	obligatory courses
Prerequisites (description):	The aim of this course is to make students familiar with the Newton, Lagrange and Hamiltonian formalisms for description of dynamics of mechanical systems. The lecture assumes that the students have basic knowledge of the calculus. The special emphasis will be put on the contemporary problems of mechanics. The Special Theory of Relativity will be presented with elements of relativistic kinematics and dynamics. The lecture includes laboratory demonstrations of various mechanical phenomena.
Mode:	Classroom
Short description:	Basics of Newton, Lagrange and Hamilton formalism for dynamics of discrete and continuous mechanical systems with relativistic effects taken into account.
Full description:	Program:: 1. Description of movement in inertial and non-inertial frames 2. Newton theory of dynamics of a system of material points 3. Concept of work, kinetic and potential energy 4. Conservation laws 5. Reaction forces, Lagrange equations of the first order 6. Lagrange equations of the second order 7. Dynamics of rigid bodies 8. Hamilton approach to mechanics 9. Applications of Newton, Lagrange, and Hamilton formalisms to various mechanical problems (two body problem, harmonic oscillator, solitons) 10. Basics of non-linear dynamics and chaos 11. Basics of the special theory of relativity 12. Kinematics and dynamics of relativistic systems 13. Foundations of the elasticity theory and mechanics of liquids Recommendations for students wanted to attend this lecture -- basic knowledge the calculus and algebra Estimated time of work: - lecture 60h - classes 45h - preparation to lecture 15h - preparation to classes 15h - homework 45h - preparation to written tests 30h - preparation to written exam 30h Sum: 240h This instruction is not a strict translation of the polish version. Description by Jacek A. Majewski, December 2009 updated by J. Kalinowski, November 2011.
Bibliography:	1. John R. Taylor, Classical Mechanics, University Science Books (2005) 2. Oliver Davis Johns, Analytical Mechanics for Relativity and Quantum Mechanics, Oxford University Press, Oxford, 2005. 3. J. V. Jose, E. J. Saletan, Classical Dynamics, Cambridge University Press, 1998. 4. R. P. Feynman, R. B. Leighton, M. Sands, Feynman Lecture on Physics, Vol. I, 2nd edition, Addison Wesley, 2005.
Learning outcomes:	After the lecture the student KNOWLEDGE 1. understands the concepts of relativity, forces, constraints, forces of reactions, models of physical bodies 2. knows the Lagrange and Hamilton formalisms 3. understands the concepts of space and time and relativistic dynamics ABILITIES 1. can characterise mechanical systems 2. knows the equations of motion and how to solve them BASICS 1. learns methods of theoretical physics 2. gets acquainted with the evolution of physical theories 3. is well prepared to undertake studies in more advanced areas of physics
Assessment methods and assessment criteria:	A student must obtain 50% of all the points assigned to midterm exams, homework problems, and lecture tests. If less than 50% of all these points is obtained, a student must obtain at least 50% of points during the written exam, and then take the oral exam. It is allowed to be absent during 3 exercise sessions.
Practical placement:	no

This course is not currently offered.

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Copyright by University of Warsaw.