Abstract  Maxwell’s equations are reinterpreted in the framework of Einstein's special relativity theory using the Lagrangian formalism in order to discover the deep interconnection between the electric and magnetic field. Its daily relevance is emphasized by pinpointing how GPS atomic clocks in satellites and on the earth are affected by frequency shifts which can be explained only in terms of relativity. 
Learning objective  DITET is the depository of the Maxwell’s equations, which are dissected from all perspectives in the courses Physics I, Electromagnetic Fields and Waves, and Advanced Electromagnetic Waves.
Only one aspect is left over: the fact that they are not invariant with respect to the classical Galilean transformation… On the contrary, Maxwell’s equations predict that the light speed is the same for every inertial frame of reference. In this course, we will deepen how Einstein solved this clash elaborating the theory of “special relativity”. Maxwell's equations are thus naturally derived in a breathtaking fashion from the principle of stationary action within the Lagrangian formalism.
Not only its elegance, but also the daily importance of the relativity theory will be finally highlighted explaining how the GPS can work only if the relativistic view of synchronous clocks is taken into account. 
Content  • GalileoNewton, the Ether, MichelsonMorley's Experiment • Lorentz Transformations • 4Vectors in Minkowski’s Spacetime: Tensor Calculus • The Lagrangian, the Principle of Stationary Action for Particles and Fields, Noether's Theorem • Maxwell’s Equations and the EnergyMomentum Tensor • Waves • Radiation from Accelerated Charged Particles • Very First Notions of General Relativity: Einstein's Equivalence Principle and Time Dilation • Sagnac's Effect • GPS 
Lecture notes  No lecture notes because the proposed textbooks together with the provided supplementary material are more than exhaustive!
!!!!! I am using OneNote. All lectures and exercises will be broadcast via ZOOM and correspondingly recorded (link in Moodle) !!!!! 
Literature  • (Special Relativity) L. Susskind and A. Friedman, "Special Relativity and Classical Field Theory: The Theoretical Minimum", 2019, Hachette Book Group USA
• (Lagrangian Formalism) L. Susskind and G. Hrabovsky, "Theoretical Minimum: What You Need to Know to Start Doing Physics", 2014, Hachette Book Group USA
Supplementary material will be uploaded in Moodle.
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+ (the classical and probably unsurpassed treatise) L.D. Landau, E.M. Lifshitz, "The Classical Theory of Fields", 1980, ButterworthHeinemann
+ (on the GPS) E.D. Kaplan, C. Hegarty, "Understanding GPS/GNSS", 2017, ARTECH HOUSE USA
+ (as account of that annus mirabilis) J.S. Rigden, "Einstein 1905: The Standard of Greatness", 2006, Harvard University Press 
Prerequisites / Notice  Notions of a course on Electromagnetism like DITET "Electromagnetic Fields and Waves" are indispensable.
Furthermore, a solid base of Analysis I & II as well as of Linear Algebra is really helpful.
IMPORTANT: a few Wednesdays are lectures (NOT exercises!), details in Moodle! 
Competencies  Subjectspecific Competencies  Concepts and Theories  assessed   Techniques and Technologies  fostered  Methodspecific Competencies  Analytical Competencies  assessed   Decisionmaking  assessed   Media and Digital Technologies  fostered   Problemsolving  assessed   Project Management  assessed  Social Competencies  Communication  fostered   Cooperation and Teamwork  fostered   Customer Orientation  fostered   Leadership and Responsibility  fostered   Selfpresentation and Social Influence  fostered   Sensitivity to Diversity  assessed   Negotiation  fostered  Personal Competencies  Adaptability and Flexibility  assessed   Creative Thinking  assessed   Critical Thinking  assessed   Integrity and Work Ethics  assessed   Selfawareness and Selfreflection  assessed   Selfdirection and Selfmanagement  assessed 
