Elements of Theoretical Mechanics

General data

Course ID:	0900-FS1-2EMT
Erasmus code / ISCED:	13.202 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:	Elements of Theoretical Mechanics
Name in Polish:	Elementy mechaniki teoretycznej
Organizational unit:	Faculty of Physics
Course groups:
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):	It is assumed that the students are familiar with the basics of Newtonia mechanics as well as with mathematical tools such as differential and integral calculus, elementary differential equations and linear algebra.
Mode:	(in Polish) w sali
Short description:	The lectures are an introduction to Lagrangian and Hamiltonian formulations of classical mechanics. They also discuss the basic applications of these formalisms to the description of the dynamics of systems of point masses and rigid bodies.
Full description:	Elements of classical mechanics is a one-semester course involving three hours of lectures and three hours of tutorials per week. The goal of this course is to introduce the Lagrangian and Hamiltonian formulations of classical mechanics, as well as to discuss the basic applications of these formalisms to the description of the dynamics of systems of point masses and rigid bodies. Lecture topics: Newton's laws of dynamics Conservative forces and energy One-dimensional systems Constraints and the principle of virtual work d'Alembert's principle Lagrange equations Variational calculus Hamilton's principle The two-body principle Small oscillations Rigid body dynamics The goal of the tutorials is for the students to acquire practial experience and expertise in analysing the motion of classical mechanical systems and developing a modest level of computational proficiency. Topics discussed: Review of selected topics in mathematical analysis Conservative forces and energy Constraints and generalized coordinates Finding Lagrangians Variational calculus and Lagrange equations Hamilton's principle Conservation laws and Noether's Theorem The two-body problem Small oscillations Rigid body dynamics
Bibliography:	Obligatory: John R. Taylor, Classical Mechanics (2 volumes) Suplemental: L. Landau i E. Lifszyc, Mechanics H. Goldstein, Theoretical Mechanics G. L. Kotkin, W.G. Serbo, Problems in classical mechanics
Learning outcomes:	The student understands the notions of: the relativity of motion, reference frame, constraints, forces of reaction, virtual displacements, generalized coordinates. The students is able to introduce generalized coordinates, find the lagrangian and the hamiltonian, and work out the equations of motion. In some cases the student is able to solve these equations and analyse the result. The student understands the role, origin and meaning of conservation laws and their relation to symmetries. The student is able to find equilibria of mechanical systems and analyse small oscillations about them; understands the origin of Kepler's laws and the description of planetary orbits; has mastered the basics of classical mechanics to a degree which constitutes a good foundation for future studies. K_W08 K_W20 K_U03 K_U18
Assessment methods and assessment criteria:	Oral examination; the student has to demonstrate both a command of the theory as well as the ability to solve simple problems.

This course is not currently offered.

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