• Timetable:
    • Lectures: Friday — 08:00 AM – 11:30 PM — Room: TBA
    • Tutorial: Monday — 06:30 PM – 07:30 PM — Room: Google Meet
  • TA: Muhammad Zeeshan Amir
  • Course Outline: The outline can be downloaded from here.
  • Another Course: A crash course on Special Relativity can also be found here. I gave these lectures online in during COVID-19 lockdown and they contain some extra material as well which I will go through in this course. However, I will go into details of some relevant topics in tutorials.
  • Note about Figures: In first two lectures, you will find “PH” is written in purple color almost all figures. Those figures are taken from Dr. Pervez Hoodbhoy’s video lectures “Teach Yourself Special Relativity“. It is highly recommended to watch those lectures for a deeper understanding of special relativity.
  • Errors and Omissions: In case of any errors and omissions in lectures notes, please email me at bilalazam31@gmail.com
  • Another Note: Solutions of in-class quizzes and homeworks are not made public. If interested, instructors can ask for solutions by sending an email from their institutional email address.
  • Lecture 1: Space and Time (Lecture Notes)
    • Spacetime diagrams
    • Inertial frames of reference
    • Galilean transformations between two inertial frames
    • Galilean transformations to sound
    • Galilean transformations to light
    • Michelson-Morley experiment
  • Lecture 2: Einstein’s Postulates (Lecture Notes)
  • Lecture 3: The Geometry of Special Relativity-I (Lecture Notes)
    • Definition of an inertial observer in SR
    • New units
    • Spacetime diagrams
    • Construction of the coordinates used by another observer
  • Lecture 4: The Geometry of Special Relativity-II (Lecture Notes)
  • Lecture 5: Spacetime Interval (Lecture Notes)
    • Invariance of the Interval
  • Lecture 6: Calibration of Coordinates (Lecture Notes)
  • Lecture 7: Vectors in Relativity-I (Lecture Notes)
    • Definition of a Vector
    • Transformation of Components of a Vector
    • Transformation of Basis Vectors
    • Inverse Transformation
  • Lecture 8: Vectors in Relativity-II (Lecture Notes)
    • Four-Velocity
    • Momentarily Comoving Reference Frame (MCRF)
    • Four-Momentum
    • In-Class Quiz 4
    • Homework 4
    • Tutorial 4: Problems from vectors and metric tensor (PDF)
  • Lecture 9: Four Velocity and Four Acceleration (Lecture Notes)
    • Four-Velocity
    • Four-Acceleration
  • Lecture 10: Four-Momentum and Discussion on Photons (Lecture Notes)
  • Lecture 11: One-Forms (Lecture Notes)
    • Recap of Metric Tensor
    • Definition of Tensors
    • One-Forms
    • How do the components of one-form transform?
    • Contraction is Lorentz invariant.
    • Basis 1-Forms
    • How to picture a One-Form?
  • Lecture 12: Gradient One-Form (Lecture Notes)
  • Lecture 13: (0 2) Tensors (Lecture Notes)
    • Tensor Product (Outer Product)
    • (0 2) Tensors
    • How the components of (0 2) tensors transform?
    • What are the basis elements of (0 2) tensors?
    • Symmetric (0 2) Tensor
  • Lecture 14: Metric Tensor (Lecture Notes)
    • Decomposition of Tensor into Symmetric and Anti-Symmetric Parts
    • Metric
    • Distance in 2d Euclidean Space with Cartesian Coordinates
    • Distance in 2d Euclidean Space with Polar Coordinates
    • Length of a Curve (a quarter circle) in 2d Euclidean Space with Cartesian Coordinates
    • Length of a Curve (a quarter circle) in 2d Euclidean Space with Polar Coordinates
    • In-Class Quiz 7
    • Homework 7
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