Graph Theory Courses

Michael Penn

Modular Arithmetic - Number Theory

Explore fundamental concepts of modular arithmetic in number theory, including congruence relations, modular operations, and their applications in mathematics.

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

Michael Penn

Proofs and Conjectures Involving Primes - Number Theory

Explore advanced number theory concepts, focusing on proofs and conjectures involving prime numbers. Delve into constructive proofs, prime formats, and composite primes through engaging problem-solving exercises.

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

Michael Penn

The Euclidean Algorithm - Number Theory

Explore the Euclidean Algorithm, a fundamental concept in number theory, and its applications in finding greatest common divisors efficiently.

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

Michael Penn

The Division Algorithm - Number Theory

Explore the division algorithm in number theory, covering natural numbers, division with remainder, and related concepts through clear explanations and exercises.

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

Michael Penn

Mathematical Induction - Number Theory

Explore mathematical induction in number theory through examples, proofs, and practice problems. Learn to apply this powerful technique to prove statements about integers and sequences.

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

Michael Penn

Problem Solving - Techniques from Number Theory

Explore key Number Theory concepts and techniques for solving math competition problems, with practical examples including a 1985 AIME question.

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

Michael Penn

The Number Theory You Need to Learn Abstract Algebra

Explore essential number theory concepts like division algorithm, Euclidean algorithm, and congruence modulo n, laying the foundation for abstract algebra studies.

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

Michael Penn

Brush Up on Number Theory Tricks

Explore a viewer-suggested number theory problem, enhancing your problem-solving skills and deepening your understanding of mathematical concepts.

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

Michael Penn

A Number Theory Problem from Morocco

Explore a challenging number theory problem from a Moroccan math contest, guided by an expert's step-by-step solution and insightful explanations.

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

Michael Penn

Abstract Algebra - More Ring Theory Examples

Explore advanced ring theory concepts, including ideals and homomorphisms in matrix and polynomial rings, with in-depth examples and proofs.

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

Michael Penn

Number Theory - Sums of Squares

Explore the fascinating conclusion of the series on sums of squares, proving that all natural numbers can be expressed as the sum of four square integers.

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

Michael Penn

Number Theory - Quadratic Reciprocity

Learn to prove the quadratic reciprocity theorem in less than an hour with Michael Penn. Randolph College Math and Science.

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

PIXXO 3D

Blender - Mo-Graph Cookie Cutter Animation

Create a loop-able 'cookie cutter' motion graphics animation in Blender with this step-by-step tutorial, perfect for enhancing your 3D animation skills.

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

Applied Algebraic Topology Network

Discrete Homotopy Theory and Applications

Explore discrete homotopy theory's evolution, applications in topology, geometry, and group theory. Learn simplified approaches to fundamental groups and covering spaces, with insights into various mathematical domains.

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

Applied Algebraic Topology Network

Bastian Rieck - Topological Graph Neural Networks

Explore topological data analysis in graph representation learning, focusing on novel techniques that incorporate topological features to enhance graph neural networks' expressivity and performance.

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