In order to request access to the videos you need to send an email from a Google account (it can be Gmail or Aggiemail, for example) to relativityusu@gmail.com. Once your email is received you will get access to the videos with that account. This means that whenever you want to watch any of the videos you will need to sign in to Youtube with that authorized account. If you have a Google+ account, the videos will be posted in the relativityusu's Google+ profile, and if you want to get notifications when a new video is posted, you can subscribe to the Youtube Channel.

Links to the class videos:

Class #1: https://www.youtube.com/watch?v=FFjFM4fyvjU

Class #2: https://www.youtube.com/watch?v=oG6LNajDweE

Class #3: https://www.youtube.com/watch?v=9fNsQq5sRlw

Class #4: https://www.youtube.com/watch?v=eowToBd4nDo

Class #5: https://www.youtube.com/watch?v=trz1P3Ag19w

Class #6: https://www.youtube.com/watch?v=8FyQEt5POY4

Class #7: https://www.youtube.com/watch?v=nZiSbOEGnbc

Class #8: https://www.youtube.com/watch?v=QYp3gIttiS0

Class #9: https://www.youtube.com/watch?v=SFfFnJeEZqg

Class #10: https://www.youtube.com/watch?v=EQRDOf3X6Ts

Class #11: https://www.youtube.com/watch?v=RyCuCVIWYuQ

Class #12: https://www.youtube.com/watch?v=zhXir7o3CyI

Class #13: https://www.youtube.com/watch?v=AXqOVWPSM1w

Class #14: https://www.youtube.com/watch?v=EP6E4tYEZd0

Class #15: https://www.youtube.com/watch?v=P-cN9iYdApI

Class #16: https://www.youtube.com/watch?v=KF0OWDvYJC4

Class #17: https://www.youtube.com/watch?v=mI-TJA0qmLI

Class #18: https://www.youtube.com/watch?v=ucM14JZ9KeQ

Class #19: https://www.youtube.com/watch?v=IjEQ1FMcmrk

Class #20: https://www.youtube.com/watch?v=kyoengsNO8Y

Class #21: https://www.youtube.com/watch?v=xFXV1PwOAv0

Class #22: https://www.youtube.com/watch?v=eHcFj_GpU0M

Class #23: https://www.youtube.com/watch?v=MJF5PXn3VlI

Links to the Maple workshop videos:

Maple Class #1: https://www.youtube.com/watch?v=zz2AND2gkIM

Maple Class #2: https://www.youtube.com/watch?v=GrpW-hkfBoU

Maple Class #3: https://www.youtube.com/watch?v=yrVZClbitCE

Maple Class #4: https://www.youtube.com/watch?v=67eFLtOHOIQ

Maple Class #5: https://www.youtube.com/watch?v=jA02V3ZAUk4

Maple Class #6: https://www.youtube.com/watch?v=bVoI8aMY77k

Maple Class #7: https://www.youtube.com/watch?v=5GVfLXagOh0

Maple

Dear Relativity Students:

I hope to have some additional meetings with the Relativity class this semester to work with you on computational methods in relativity using the computer. While it is crucial that you learn how the computations are done by hand so you can understand what is going on mathematically, nowadays, routine computations in tensor analysis and general relativity are done using the computer.

To show you how that is done, I propose we meet on certain Fridays at 2:30 - the dates to be arranged as we go. Our computational tool will be the DifferentialGeometry package in Maple. This package was actually developed here at USU. I will show you how to use this package and use it for many of the computations needed in your coursework. Along the way you will also become proficient in symbolic computation, which may be of some use to you in the future.

To get started, I need to have everyone install the Maple symbolic computation software on their computers. USU has a site license for this software, and I have an installation disk. If you do not already have Maple on your computer, please come and see me (SER 232) and I will loan you the installation disk. Once everyone has Maple installed, I will give you an update to the latest DifferentialGeometry software.

Let us plan on our first meeting on Friday, January 23 at 2:30 p.m. in SER 122. (I might change this to SER 244 - I will let you know.) More information about this meeting will be forthcoming. Don’t hesitate to contact me with questions or concerns.

Charles Torre

Torre: Introduction to general relativity using Maple.

Introduction to Maple Worksheet (zipped)

Torre: Tensor analysis in Euclidean space using Maple.

Tensor analysis in Euclidean space (zipped)

Course Information

Syllabus

Homework

Notes

General Relativity Notes from 2013

Wheeler: Special Relativity: the invariant interval

The invariant interval in special relativity

Wheeler: Relativistic Dynamics

Relativistic Dynamics (exercises 1 - 6 required)

Wheeler: Index Notation (work all exercises, unless you have already for another course)

Torre: Vectors and dual vectors (includes exercises)

Wheeler: More on vectors (skip the exercises for now)

Torre: What is a tensor?

Wikipedia: Covariant formulation of classical electromagnetism

Note that the form of the spacetime metric in this article is the negative of our convention, so signs will differ. Nonetheless, the article gives an excellent concise summary of the results.

Wheeler: Examples of tensors

The covariant formulation of Maxwell’s equations, and examples of energy-momentum tensors and their general properties

Wheeler: Manifolds, vectors and forms

Formal definitions of manifolds, vectors and forms

Wheeler: General coordinates and the connection

An introduction to general coordinates, the covariant derivative and the connection

Torre: Worksheet from February 6

Wheeler: Parallel transport and geodesics

A derivation of the parallel transport and geodesic equations, with examples

Wheeler: Introduction to curvature

A constructive introduction to curvature in 2 dimensions

Wheeler: The Riemann curvature tensor and the Einstein equation