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Relativity

Imagine this: You can fit a 10 m pole in a barn half the size. Your twin is now 10 years older than you, but you didn't use a time machine. And no matter how fast you run, you can never reach the speed of light. How can you explain these scenarios? In this class, we use thought experiments like these and other tools to explore Einstein's theory of special relativity. We introduce Einstein's two postulates and explore the counterintuitive effects of time dilation, length contraction, and relativity of simultaneity. The class concludes with a look at spacetime diagrams and several challenging paradoxes of relativity.

6 hours

6 hours  

Schedule

Sat & Sun
Dec 14 - Dec 15
4:00 - 7:00
PM ET  
Dec 14 - Dec 15
4:00 - 7:00 PM Eastern
3:00 - 6:00 PM Central
2:00 - 5:00 PM Mountain
1:00 - 4:00 PM Pacific
Click here to see more time zones
$150
$150
CLOSED

AoPS Holidays

There are no classes May 24 ‐ 26, July 4 ‐ 6, August 29 ‐ September 1, October 31, November 24 ‐ November 30, and December 20, 2025 ‐ January 2, 2026.

Who Should Take?

This course is intended for students who have completed at least our Introduction to Algebra A or an equivalent first course in algebra. No advanced algebra techniques are used, but the experience of a second course in algebra equivalent to our Introduction to Algebra B will be useful in interpreting the mathematics used. The conceptual challenges of this course make it suitable for advanced students of any background as well. No prior background in physics or the theory of relativity is required.

Topics

1 The Principle of Relativity
2 The Speed of Light and Time Dilation
3 Length Contraction and Simultaneity
4 Paradoxes

As someone who is a first-time olympiad taker, WOOT was very helpful. I was introduced to using general techniques like induction, which was very helpful to me. I have also learned subject-specific methods for solving problems, such as, for instance, the nine-point circle. The practice olympiads and AIMEs were very helpful, especially the olympiad, where I got to try solve original olympiad problems that I didn't see a few months ago on the forums. The feedback was also very helpful, giving me advice on how to present my solutions and word my arguments. Overall, I am very impressed with WOOT. I will definitely be taking it in future years to broaden my mathematical knowledge and improve my problem solving skills. Thank you all for the wonderful experience!