Michael Penn Courses

Why 1 Is Never Prime, and Sometimes Neither Are Some of Your Favorites

Explore the concept of prime numbers, focusing on why 1 is not considered prime and examining other surprising non-prime numbers in mathematics.

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

A Nice Product From Ramanujan - Featuring 3 Important Constants

Explore Ramanujan's fascinating product involving three crucial mathematical constants, uncovering its significance and implications in number theory.

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

How to Integrate With Respect to Any Function

Master integration techniques for any function, enhancing your calculus skills and problem-solving abilities in mathematics.

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

Finding a Taylor Series Using Differential Equations

Explore an innovative approach to deriving Taylor series using differential equations, offering a fresh perspective on this fundamental mathematical concept.

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

A Physicist's Favorite Function

Explore a physicist's perspective on mathematical functions, blending humor and science to illuminate key concepts in continuity and piecewise functions.

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

An Amazing and Mysterious Approximation for Pi

Explore a fascinating and enigmatic approximation of pi, uncovering its mathematical significance and the intriguing properties that make it remarkable.

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

How Archimedes Inspired Me to Approximate Cube Roots

Explore Archimedes' influence on cube root approximation methods, blending historical insights with practical mathematical techniques for modern problem-solving.

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

A Much More Friendly Approach to the Cubic Formula

Explore a user-friendly approach to understanding and applying the cubic formula, making complex mathematical concepts more accessible and manageable.

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

How the Power Set Forms a Ring

Explore how the power set forms a ring in this mathematical demonstration, showcasing set theory principles and algebraic structures.

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

The Dilogarithm - A Favorite Special Function

Explore the dilogarithm function, its properties, and applications in mathematics. Gain insights into this intriguing special function and its significance in various mathematical contexts.

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

The Quantum Derivative

Explore the concept of quantum derivative, its applications, and mathematical foundations in this concise tutorial on advanced calculus and quantum mechanics.

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

A Stylized Integral

Explore a unique mathematical challenge involving a stylized integral, delving into advanced calculus techniques and problem-solving strategies.

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

Are These the Only Square Fibonacci Numbers?

Explore the intriguing connection between Fibonacci numbers and perfect squares, examining which Fibonacci numbers are also square numbers and the mathematical reasoning behind this phenomenon.

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

Euler's Other Constant

Explore Euler's lesser-known constant, its properties, and significance in mathematics. Gain insights into this fundamental mathematical concept beyond the famous Euler's number.

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

Beyond Real Numbers - Solving X + 1 = 0 in Different Number Systems

Explore solutions to x² + 1 = 0 in various number systems, expanding mathematical understanding beyond real numbers and into complex realms.

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