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Motivating Mathematical Concepts through Problems

Motivating Mathematical Concepts through Problems

by Roland S McIntire

Season 1

Measure Theoretic Conditional Expectation in a Discrete Setting

Examines what Modern Conditional Expectation means in a discrete setting.

What is a Derivative

Discusses the fundamental notion of a derivative and its extensions.

Lebesgue Measure Theory

We motivate Lebesgue Measure theory.

Pythagorean Numbers: Conjectures and Results.

We prove a theorem related to primitive Pythagorean Primes as well as present a few conjectures.

Singular Probabilty Transformation

Derives a formula for the probability density of a singular transformation of a random variable.

Diversification Constraints

Derives Diversification Constraints for Convex Optimization.

The Essentails of Calculus

Presents the Discrete and Continuous Calculus: The Essentials.

Conditional Expecatation in a Discrete Setting

Examines Lesbesgue Measure theoretic Conditional Expectation in a Discrete Setting.

UnBiased Analytics of Exponential Moving Averages

A number of formulas for weighted exponential moving averages and their moments.

Where does the determinant come from?

Explains the formula for the determinant of a matrix.

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