Michael Penn Courses

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

More About Primitive Roots - Number Theory

Explore advanced concepts of primitive roots in number theory, delving deeper into their properties and applications in mathematical problem-solving.

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

Primitive Roots - Number Theory

Explore primitive roots in number theory, delving into advanced mathematical concepts and their applications in this comprehensive video lecture.

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

The Order of an Integer Modulo N - Number Theory

Explore the concept of order for integers modulo n in number theory, covering key propositions, primitive roots, and proofs to deepen understanding of modular arithmetic.

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

Hensel's Lemma - Number Theory

Explore Hensel's Lemma in number theory, learning its application to congruences and solving equations in p-adic number systems.

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

Wilson's Theorem - Number Theory

Explore Wilson's Theorem in number theory, including its proof, examples, and applications. Gain insights into this fundamental concept and its significance in mathematical reasoning.

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

Euler's Totient Function - Number Theory

Explore Euler's Totient Function in number theory, learning its properties, applications, and significance in mathematical calculations and cryptography.

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

Euler's Theorem - Number Theory

Explore Euler's Theorem in number theory, understanding its significance and applications in mathematical concepts like modular arithmetic and cryptography.

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

Chinese Remainder Theorem - Number Theory

Explore the Chinese Remainder Theorem, a fundamental concept in number theory, and its applications in solving systems of linear congruences.

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