Michael Penn Courses

How to Use Generating Functions with Integer Partitions - Number Theory

Explore generating functions in integer partitions, including unrestricted and restricted cases, with applications to odd parts and rational functions in number theory.

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

Every Calculus Teacher I Know Skips This

Uncover a crucial calculus concept often overlooked by instructors. Gain insights into an important but frequently omitted topic, enhancing your understanding of calculus fundamentals.

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

Generating Functions - Number Theory

Explore generating functions in number theory, learning their applications and techniques for solving complex mathematical problems.

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

Introduction to Integer Partitions - Number Theory

Explore integer partitions in number theory, learning key concepts and applications. Gain insights into this fundamental mathematical topic through clear explanations and examples.

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

The Derivative Is Everywhere

Explore the ubiquitous nature of derivatives in mathematics and their applications across various fields, enhancing your understanding of this fundamental calculus concept.

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

Quadratic Forms - Number Theory

Explore quadratic forms in number theory, delving into their properties, applications, and significance in mathematical analysis.

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

Sums of Squares - Number Theory

Explore number theory concepts focusing on sums of squares, including a theorem and its proof, enhancing mathematical understanding and problem-solving skills.

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

Square Roots Mod P - Number Theory

Explore square roots in modular arithmetic, a key concept in number theory. Learn proofs, work through examples, and gain practical problem-solving skills in this engaging mathematical exploration.

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

Quadratic Reciprocity Examples - Number Theory

Explore practical applications of quadratic reciprocity in number theory through detailed examples, enhancing understanding of this fundamental concept in mathematics.

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

Quadratic Reciprocity Proof - Number Theory

Explore an in-depth proof of quadratic reciprocity in number theory, covering Legendre symbols, Gauss limits, and key concepts essential for understanding this fundamental theorem.

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

Quadratic Residues - Number Theory

Explore quadratic residues in number theory, covering key concepts and applications in this comprehensive mathematical lecture.

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

Discrete Calculus - My Favorite Topic for a Student Seminar Talk

Explore discrete calculus through derivatives, antiderivatives, and fundamental theorems. Learn power rules, exponential functions, and Fibonacci numbers in this engaging mathematical seminar.

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

Decimal Representations - Number Theory

Explore decimal representations in number theory, focusing on unique aspects and key concepts for a deeper understanding of numerical systems and their properties.

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

Indices - The Discrete Log - Number Theory

Explore discrete logarithms in number theory, focusing on indices and their applications in modular arithmetic and cryptography.

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

Applications of Primitive Roots - Number Theory

Explore practical applications of primitive roots in number theory, enhancing understanding of modular arithmetic and cryptography concepts.

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