Week 1: Historical Background; Newton and Galileo
- Lecture 1: Introduction; Newtonian Mechanics and Relativity
Week 2: The Universality of the Speed of Light and Its Consequences
- Lecture 2: Electromagnetic Radiation and Galilean Relativity
- Lecture 3: From Galilean Relativity to …?
Week 3: Spacetime
- Lecture 4: Spacetime, Simultaneity, and the Consequences of Lorentz
- Lecture 5: Introduction to 4-Vectors
Week 4: Kinematics in Special Relativity (Part I)
- Lecture 6: Kinematics in Spacetime
- Lecture 7: 4-Momentum and 4-Velocity
Week 5: Kinematics in Special Relativity (Part II)
- Lecture 8: Using 4-Momentum
Week 6: The Metric of Spacetime and Tensors
- Lecture 9: Some More Math: The Metric Tensor, 1-Forms AKA Dual Vectors, Tensors More Generally
- Lecture 10: Describing Matter in Bulk
Week 7: Describing Matter in Bulk
- [No new notes: This lecture uses the notes from Lecture 10.]
Week 8: A Covariant Formulation of Electrodynamics (Parts I and II)
- Lecture 11: A Covariant Formulation of Electrodynamics (Part I)
- Lecture 12: A Covariant Formulation of Electrodynamics (Part II)
Week 9: Forces and Accelerations; Spacetime According to Accelerating Observers
- Lecture 13: Accelerations and Forces
- Lecture 14: Prelude to Gravity: More on the Uniformly Accelerated Observer
Week 10: Beginning to Incorporate Gravity into Relativity
- Lecture 15: Introduction to Gravity
- Lecture 16: The Calculus of Variations, the Principle of Maximum Aging, and the Motion of Bodies in Spacetime
Week 11: The Calculus of Variations; Farewell to Lorentz Spacetimes; The Principle of Equivalence
- Lecture 17: Goodbye Global Lorentz Frames, Hello Principle of Equivalence; Initial Considerations of Relativistic Gravity
- Lecture 18: Some Important Solutions of the Einstein Field Equation; Using Those Solutions
Week 12: Relativistic Gravity
- Lecture 19: From Weak Gravity to Strong Gravity
Week 13: Exploring Strong Gravity
- Lecture 20: Exploring Strong Gravity
Week 14: Theory Meets Reality
- Lecture 21: Data on Strong Gravity
- Lecture 22: Our Universe at Large