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Elements of theoretical physics I - course description

General information
Course name Elements of theoretical physics I
Course ID 13.2-WF-FizD-ETP-S18
Faculty Faculty of Physics and Astronomy
Field of study Physics
Education profile academic
Level of studies Second-cycle studies leading to MS degree
Beginning semester winter term 2019/2020
Course information
Semester 1
ECTS credits to win 5
Course type obligatory
Teaching language english
Author of syllabus
Classes forms
The class form Hours per semester (full-time) Hours per week (full-time) Hours per semester (part-time) Hours per week (part-time) Form of assignment
Lecture 30 2 - - Exam
Class 30 2 - - Credit with grade

Aim of the course

The course provides an introduction to the conceptual and mathematical foundations of modern theoretical physics, with a particular emphasis on analytical mechanics and relativity.

 

 

Prerequisites

Knowledge of foundations of physics and mathematics corresponding to educational level undergraduate

Scope

Mathematical methods in Theoretical Physics: differential equations, the scalar and vector fields, foundations of analytic functions theory.
Classical  dynamics. Newton’s laws: space and time, mass and force, the first and the second laws - intertial frames and noninertial frames. Systems with variuos resistance. Systems with varying mass.
Elements of the variational methods. Euler-Lagrange equations and applications. Constrained systems.
 Symmetries and conservation laws,  the Hamiltonian formulation of classical physics.

 

Teaching methods

Conventional lectures and classes.

Learning outcomes and methods of theirs verification

Outcome description Outcome symbols Methods of verification The class form

Assignment conditions

Lecture: The exam.
Class: the test-work.

Final score: (50%) exam score + (50%) classes score.

 

Recommended reading

[1] L. D. Landau, E. M. Lifshitz, Course of Theoretical Physics, Pergamon Press.
[2] F. Scheck Mechanics: From Newton’s Laws to Deterministic Chaos, Springer 2003.
[3] J. R. Taylor, Classical Mechanics, University Science Book, 2005

Further reading

[1] I. Arnold, Metody matematyczne mechaniki klasycznej, PWN, Warszawa 1981.
[2] H. Goldstein, C. Poole, J. Safko, Classical mechanics, Pearson New International Edition, 2013

Notes


Modified by dr hab. Piotr Lubiński, prof. UZ (last modification: 05-03-2020 12:34)