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Motivating Mathematical Concepts through Problems
Motivating Mathematical Concepts through Problems episodes
- Measure Theoretic Conditional Expectation in a Discrete Setting
Examines what Modern Conditional Expectation means in a discrete setting.
19 min - 20 min
- 21 min
- Pythagorean Numbers: Conjectures and Results.
We prove a theorem related to primitive Pythagorean Primes as well as present a few conjectures.
22 min - Singular Probabilty Transformation
Derives a formula for the probability density of a singular transformation of a random variable.
18 min - 20 min
- 23 min
- Conditional Expecatation in a Discrete Setting
Examines Lesbesgue Measure theoretic Conditional Expectation in a Discrete Setting.
22 min - UnBiased Analytics of Exponential Moving Averages
A number of formulas for weighted exponential moving averages and their moments.
20 min - 25 min
About Motivating Mathematical Concepts through Problems
From the publisher's feed
This podcast takes the approach of motivating mathematical concepts by way of a compelling problem. This is NOT the same as providing a definition and then showing that it solve a…
useful problem.
The later has the feeling of someone doing mathematics to someone as opposed to giving one the sense that mathematics is a human endeavor; full of practical problems that need to be solved. Instead people often feel like that are being handed a collection of stone tablets handed down from the math gods.
This does not mean that the material is easy. It does not mean that the material provides a history of how a given concept was created; rather, it provides at best, a pseudo history of how a given concept may have come about.
The podcast also contains episodes on new material and some conjectures.