Michael Penn Courses

A Very Interesting Differential Equation

Explore an intriguing differential equation, delving into its unique properties and solution methods for a deeper understanding of mathematical concepts.

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

A Nice Limit from Virginia

Explore a fascinating limit problem from Virginia, delving into mathematical concepts and problem-solving techniques.

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

A Very Special Knight's Tour

Explore a unique knight's tour on a chessboard, uncovering mathematical patterns and strategies for this classic problem in combinatorial game theory.

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

Two Shapes in One Triangle - A Geometric Problem

Explore a fascinating geometric puzzle: fitting two distinct shapes within a single triangle. Uncover the mathematical principles behind this intriguing spatial challenge.

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

A Classic Puzzle - Solving a Mathematical Challenge

Explore a classic mathematical puzzle, unraveling its intricacies and discovering elegant solution strategies to enhance problem-solving skills.

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

The Equation Ramanujan Couldn't Solve

Explore the intriguing mathematical equation that stumped even the brilliant Ramanujan, delving into its complexities and historical significance in number theory.

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

Finding the 2319th Digit of 1000 Factorial

Explore a fascinating mathematical problem: determining a specific digit in the factorial of 1000, using advanced number theory and logarithmic techniques.

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

The Cryptography Attack That Could Bring Down the Internet

Explore the potential cryptographic vulnerability that could compromise internet security, examining its implications and possible countermeasures.

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

1886 Cambridge University Exam Integral Problem

Explore a challenging integral problem from the 1886 Cambridge University Exam, demonstrating advanced mathematical techniques and historical problem-solving approaches.

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

Solving Quintic Equations - Mathematical Misconceptions

Discover the method to solve any quintic equation in this engaging tutorial. Learn advanced algebraic techniques and expand your mathematical problem-solving skills.

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

Find the Missing Angle - Geometry Problem Solving

Solve a geometry problem by finding the missing angle using logical reasoning and mathematical principles.

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

Generalizing a Calculus 2 Integral

Explore a generalized approach to solving a complex Calculus 2 integral, enhancing your problem-solving skills and deepening your understanding of advanced integration techniques.

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

The Most Beautiful Arrangement of Numbers

Explore the fascinating world of number arrangements, uncovering mathematical beauty and patterns in this engaging mathematical journey.

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

Some Very Nice Values of Cosine

Explore fascinating values of cosine and their applications in trigonometry. Gain insights into mathematical patterns and relationships.

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

Every Right Triangle is Almost Pythagorean

Explore the concept of "almost Pythagorean" right triangles, uncovering a fascinating mathematical property that extends beyond the classic theorem.

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