Mechanics and Relativity
Faculteit  Science and Engineering 
Jaar  2022/23 
Vakcode  WBMA06005 
Vaknaam  Mechanics and Relativity 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester I b 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Mechanics and Relativity for Mathematicians  
Leerdoelen  At the end of the course, the student is able to: 1. Use Newton's laws to describe and predict the motion of particles under the influence of forces. 2. Explain how everydaylife forces allow for a description in terms of central forces, and employ the mathematical description of these. 3. Explain the conservation laws in classical mechanics and use these to derive conserved quantities such as energy and angular momentum. 4. Translate the description of physical processes from inertial to noninertial frames, and explain the appearance of ficticious forces and calculate their consequences on particle motion. 5. Use Einstein's theory of relativity and its notions of proper time and proper space to predict what different observes would measure in relativistic settings. 6. Calculate the spacetime interval between specific events, draw physical conclusions from this and represent this in a spacetime diagram. 

Omschrijving  This course provides an introduction to the laws of mechanics and theory of special relativity, with an emphasis on their mathematical struture. We start off with an overview of Newton's laws of mechanics, and go through a number of examples of everydaylife forces. Then we discuss central forces in three dimensions, with particular attention to the Kepler problem relevant for planetary motion. We continue with conservation laws, and aspects of multiple particle dynamics. The final topic in classical mechanics is noninertial frame motion. The last part of the course will be devoted to Einstein's theory of special relativity, which supersedes Newton's classical mechanics at high velocities. We discuss how this affects space and time and notions such as simultaneity. Spacetime diagrams will be introduced, as well as Lorentz transformations, to clarify how relativity affects physics. 

Uren per week  
Onderwijsvorm  Hoorcollege (LC), Opdracht (ASM), Werkcollege (T)  
Toetsvorm 
Opdracht (AST), Schriftelijk tentamen (WE)
(The final grade will be the maximum of the average of the different components (with weights of 70 (written exam), 5, 10 and 15 (assignments) percent, as outlined) OR the grade on the final written exam.) 

Vaksoort  bachelor  
Coördinator  prof. dr. D. Roest  
Docent(en)  prof. dr. D. Roest  
Verplichte literatuur 


Entreevoorwaarden  
Opmerkingen  
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