Episode 9: The Limit Definition of e [#MathChops]

The history of ‘e’ is a tangled one, one which would warrant an entire dedicated book to parse through mathematics to the original conception of the transcendental number. Even before e’s enigmatic beauty was fully unearthed, people using mathematics to solve real world problems encountered the number many times, and understood it enough to work it into their solutions. A good example of this is when e shows up in compound interest. Bankers found out that as the number of times one took annual compound interest grew to infinity, the rate of growth approached e! Watch the video to see two mathematical proofs of our statement, using two definitions of e.

Advanced Knowledge Problem of the Week: Drunkard's Walk [Probability]

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Solution below.

Problem of the Week 8-29-17: Pool Table

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Advanced Knowledge Problem of the Week: Finding a Perfect Square Solution [Algebra]

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Back to School Math Courses Review Guide

 Oh no, back to school is right around the corner!

We know it can be hard to jump straight back into Math classes during the first few days after a summer away. Lucky for you we have arranged some of of our Youtube channel videos into a helpful guide to make sure you are on your game in the first week of class. Check them out below!

Problem of the Week 8-21-17: Seven Pointed Star [Geometry]

Check out this Algebraic Problem of the Week.
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Episode 8: Infinite Primes [#MathChops]

Back in 300 BC, Euclid proved that there were an infinite number of primes. He used line segments to show that some line lengths could only be made up from single-unit line lengths and not lines with lengths of 2, 3, etc. These line lengths represented prime numbers. This proof has the same principle but is a little different than Euclid's and uses proof by contradiction. Take a look at this simple proof which shows that primes are infinite!

Advanced Knowledge Problem of the Week: Infinite Product of a Sequence [Convergence]

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Solution below.

Problem of the Week 8-15-17 [Algebra]

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Advanced Knowledge Problem of the Week: Website Traffic as a Poisson Process [Stochastic Processes]

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Problem of the Week 8-8-17 [Distance]

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Solution below.

Episode 7: Gauss and Triangular Numbers [#MathChops]

The mythology behind this fairly simple proof is what makes it one of the most popular proofs in math classes across the world. The story follows a young Carl Friedrich Gauss, whose first grade teacher asked the class to add up the numbers 1 to 100 in order to pass a good amount of time. Before the teacher had time to start grading papers, Gauss handed in his assignment. Watch the video to find out Gauss’ observation that is now one of the most famous math proofs out there.