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Browse Classroom Capsules and Notes

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Displaying 1 - 10 of 1209

This capsule uses the determinants of matrices to study Fibonacci numbers. Specifically, the sum property of the determinant is used to derive identities between Fibonacci numbers.

This capsule project starts with computing average class size from the institution and student points of view. The results are drastically different. The author then tries to explain why this...

This  project uses a sampling problem to compute certain probabilities. In the process, certain binomial identities are established.

This capsule discusses rates of change related to a vessel obtained as a surface of revolution. The question is about the rate a bug must move on the surface as liquid is being poured into the...

This article provides a calclulation on the number of pizzas with different toppings to point out the mistakes in a  commercial by a national pizza chain.

This capsule applied the concepts from linear algebra to prove the relations of sample corelation coefficients.

This capsule discusses the mathematics of a real-life experience with dogs playing fetch into the water. The leap-off point chosen by the dog turned out to ones that will either minimize the...

This capsule provides a simple  proof to Archimede's problem related to areas enclosed by a parabolic segment. The idea of the proof comes from elementary physics instead of geometry...

This capsule follows the technique of random tilings used in the proof of the closed form for Fibonacci Numbers. By relaxing the condition of probability, the authors are able to obtain...

A variation of the birthday problem is being considered: what is the probabibility of \(2\) out of \(n\) people to have their birthday on a particular day? Furthermore, this capsule...

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