Special Relativity & Classical Field Theory

These notes are based on lectures given by P. Szekeres in University of Adelaide, later adapted for the course in UPM

• Lecture 1: Frames, Vectors & Euclidean Geometry in Mechanics

• Lecture 2: Galilean Relativity

• Lecture 3: Foundations of Special Relativity

• Lecture 4: Minkowski Space-Time & Lorentz Group

• Lecture 5: Lorentzian Kinematics

• Lecture 6: Tensors Under General Coordinate Transformations

• Lecture 7: Tensors in Special Relativity

• Lecture 8: Applications of Lorentz Tensor Transformations

• Lecture 9: Relativistic Kinematics

• Lecture 10: Relativistic Dynamics

• Lecture 11: Constant Acceleration & Angular Momentum

• Lecture 12: Particles in Collision

• Lecture 13: Electrodynamics

• Lecture 14: Transformations for Electrodynamics & Lorentz Force

• Lecture 15: Action for Particle Mechanics

• Lecture 16: Field Variations

• Lecture 17: Differential Forms and Integrals

• Lecture 18: Integral Theorems

• Lecture 19: Action for Fields & Energy-Stress Tensor

• Lecture 20: Energy-Stress Tensor for Electromagnetic Field

Assignments given in 2022

Assignment 1

• Solution to Question 1

• Solution to Question 2

• Solution to Question 3

• Solution to Question 4

• Solution to Question 5

• Solution to Question 6

• Solution to Question 7

• Solution to Question 8

Assignment 2

• Solution to Question 1

• Solution to Question 2

• Solution to Question 3

• Solution to Question 4

• Solution to Question 5

• Solution to Question 6

• Solution to Question 7

• Solution to Question 8

• Solution to Question 9

• Solution to Question 10

• Solution to Question 11

• Solution to Question 12

Assignment 3

• Solution to Question 1

• Solution to Question 2

• Solution to Question 3

• Solution to Question 4

• Solution to Question 5

• Solution to Question 6

• Solution to Question 7

• Solution to Question 8

• Solution to Question 9