pt. I. Kinematics: relativity without any equations 1. Welcome to the world of relativity 2. Basics Questions about motion Frames of reference Relativity of motion The Law of Inertia Inertial and non-inertial frames What's so "special" about Special Relativity? 3. Galilean relativity Basic questions Spacetime diagrams The Galilei transformation Addition of velocities Acceleration and Newton's Second Law 4. Einsteinian relativity The mystery of the speed of light Modification to the spacetime diagram The problem The solution Einstein's argument The solution, continued Conservation of spacetime volume The Lorentz transformation The low velocity limit of the Lorentz transformation Addition of velocities Dependence of inertia on speed 5. Causality Before and after Paradox? Instantaneous communication? Impossibility of faster than light travel The light-cone 6. Consequences Synchronization of clocks Time dilation What time dilation DOES NOT mean Lorentz contraction What Lorentz contraction DOES NOT mean Twin paradox Doppler effect Red shift Blue shift Red shift and the expansion of the universe
pt. II. Problems 8. Qualitative problems Reading the spacetime diagram Street lamps Supernovae Questions on before and after The hare and the tortoise 1, 2, 3 The starship and the supernova Relativistic sports Tagging up in baseball 1, 2 The offside rule in soccer Lorentz contraction Train and tunnel The starship and the enemy space cruiser 1, 2 The duel of the space cruisers Trains in a tunnel 9. Quantitative problems Addition of velocities
pt. III. Dynamics: relativity with a few equations
10. The world's most famous equation
Newton's Third Law and the conservation of mass-momentum
13. Relativistic dynamics
The energy-momentum vector
The energy-momentum vector of a photon
Conservation of energy-momentum
