Michael Penn Courses

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

How to Diagonally Think About Rotations

Explore a unique perspective on rotations using diagonal thinking, enhancing your understanding of mathematical transformations and their applications in geometry.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Clifford Algebras and Time Loops

Explore the fascinating connection between Clifford algebras and time loops, delving into advanced mathematical concepts and their potential implications for understanding spacetime.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Challenge - Can I Teach a Philosophy Student How to Do Math

Explore strategies for teaching math to philosophy students, focusing on bridging conceptual gaps and leveraging critical thinking skills to enhance mathematical understanding.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Matrix Exponentials, Determinants, and Lie Algebras

Explore matrix exponentials, determinants, and Lie algebras in this advanced mathematics video, delving into their properties and relationships for a deeper understanding of linear algebra concepts.

• YouTube
• 26 minutes
• On-Demand
• Free Video

When "=" Isn't Quite Equal

Explore the nuances of mathematical equality, examining cases where the "=" symbol may not represent true equivalence. Gain insights into precise mathematical reasoning.

• YouTube
• 21 minutes
• On-Demand
• Free Video

What Is It Like to Be a Pure Mathematician?

Explore the life of a pure mathematician, delving into abstract algebra, group theory, and partitions. Gain insights into the field's challenges, problem-solving approaches, and the beauty of elegant proofs.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

The Return of Big Integrals

Explore advanced integration techniques for complex mathematical problems, enhancing problem-solving skills and deepening understanding of calculus concepts.

• YouTube
• 23 minutes
• On-Demand
• Free Video

An Irrational Sum

Explore the fascinating world of irrational numbers through an intriguing sum, delving into mathematical concepts and problem-solving techniques.

• YouTube
• 22 minutes
• On-Demand
• Free Video

An Algebra for String Theory - The Virasoro Algebra

Explore the Virasoro algebra, a fundamental concept in string theory, and its applications in theoretical physics and mathematics.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Collatz Conjecture - The Interns' Inception

Explore the Collatz Conjecture, its examples, arguments, and related mathematical concepts like expected values and Gaussian integers in this engaging mathematical discussion.

• YouTube
• 25 minutes
• On-Demand
• Free Video