Michael Penn Courses

The Quantum Factorial Is Upon Us

Explore the quantum analog of the factorial function, examining inversions and the N=4 case. Delve into advanced mathematical concepts with clear explanations and examples.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Will You Survive This Differential Equation?

Explore a challenging differential equation using integrating factors and clever tricks to find the solution in this engaging mathematical problem-solving session.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

The Universal Enveloping Algebra

Explore the concept of universal enveloping algebra, its construction, properties, and applications in abstract algebra and representation theory.

• YouTube
• 29 minutes
• Self-Paced
• Free Video

Balancing Numbers

Explore the concept of (co) balancing numbers, a fascinating mathematical topic that challenges your problem-solving skills and deepens your understanding of number theory.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

What Mathematicians Mean When We Use Super as a Prefix

Explore the mathematical meaning of "super" as a prefix, delving into its applications and significance in various mathematical contexts.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

The Average Distance Between Points on a Square

Explore the mathematical concept of average distance between points on a square through coordinates, distance formula, and integral calculus. Gain insights into geometric problem-solving.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Measuring Infinite Dimensions

Explore the concept of measuring infinite dimensions in mathematics, delving into advanced topics related to infinite-dimensional spaces and their properties.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

One of the First Transcendental Numbers - Liouville's Constant

Explore Liouville's Constant, one of the earliest discovered transcendental numbers, and its significance in mathematics. Gain insights into this unique numerical concept and its properties.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Generalizing the Right Angle

Explore the concept of generalizing right angles, extending geometric principles beyond traditional 90-degree angles for a deeper understanding of mathematical relationships.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

A Gnarly Inverse Trig Integral

Explore a challenging inverse trigonometric integral, delving into advanced calculus techniques for solving complex mathematical problems.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

This Is a Circle

Explore the fascinating properties and applications of circles in mathematics, from basic geometry to advanced concepts, enhancing your understanding of this fundamental shape.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

The Natural Log of Imaginary Numbers

Explore the fascinating concept of natural logarithms applied to imaginary numbers, delving into complex analysis and mathematical properties of these unique numerical relationships.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Exponential Fibonacci

Explore the fascinating connection between exponential functions and the Fibonacci sequence, uncovering mathematical patterns and relationships in this engaging tutorial.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Solving a Calculus Problem Using Linear Algebra

Explore how linear algebra techniques can be applied to solve complex calculus problems, demonstrating the interconnectedness of mathematical disciplines.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

E Is Transcendental - The Best Proof

Explore the transcendental nature of 'e' through an engaging and accessible proof, delving into fundamental mathematical concepts and their fascinating implications.

• YouTube
• 27 minutes
• Self-Paced
• Free Video