Mathemaniac Courses

Demystifying Spin 1/2 - Math of Quantum Mechanics

Explore the math of quantum mechanics with Mathemaniac, focusing on the concept of spin 1/2 particles. This short, under 1-hour study offers a deep dive into the subject.

• YouTube
• 34 minutes
• On-Demand
• Free Online Course

Why You Can't Solve Quintic Equations - Galois Theory Approach

Explore the Abel-Ruffini theorem and why quintic equations are unsolvable with Mathemaniac's engaging, less than 1-hour video. Ideal for all algebra backgrounds.

• YouTube
• 45 minutes
• On-Demand
• Free Online Course

Complex Integration, Cauchy and Residue Theorems - Essence of Complex Analysis

Dive into complex analysis with Mathemaniac's intuitive explanation of complex integration, Cauchy's theorem, and the residue theorem in under an hour.

• YouTube
• 41 minutes
• On-Demand
• Free Online Course

What if We Define 1-0 = Infinity - Möbius Transformations Visualized

Explore Möbius transformations and the concept of 1/0 = ∞ in this short, interactive lesson by Mathemaniac. Delve into Euclidean geometry tools and their applications.

• YouTube
• 25 minutes
• On-Demand
• Free Online Course

What Do Complex Functions Look Like - Essence of Complex Analysis

Explore complex functions with Mathemaniac's visually rich, under 1-hour material. Delve into adding, multiplying constants, exponentiation, power functions, and logarithm with engaging animations.

• YouTube
• 29 minutes
• On-Demand
• Free Online Course

What Are Complex Numbers - Essence of Complex Analysis

Dive into the world of complex numbers with Mathemaniac's comprehensive guide, covering topics from Cartesian and polar representation to Euler's formula and de Moivre's theorem.

• YouTube
• 32 minutes
• On-Demand
• Free Online Course

What Is Jacobian - The Right Way of Thinking Derivatives and Integrals

Mathemaniac offers a concise, less than 1-hour video on Jacobian matrix and determinant, rethinking derivatives and integrals, and exploring 2D transformations.

• YouTube
• 27 minutes
• On-Demand
• Free Online Course

Dream Cheating Scandal - Explaining All the Math Simply

"Mathemaniac offers a less than 1-hour video explaining the math behind the Dream cheating scandal in Minecraft speedrunning, including statistical tools and biases."

• YouTube
• 26 minutes
• On-Demand
• Free Online Course

Matrix Transpose Isn't Just Swapping Rows and Columns

Explore the concept of matrix transpose beyond just swapping rows and columns with Mathemaniac. Learn about covectors, metric tensors, and adjoints in under an hour.

• YouTube
• 26 minutes
• On-Demand
• Free Online Course

Queuing Theory and Poisson Process

Mathemaniac offers a brief, introductory exploration of M/M/1 queue and Poisson process, key concepts in queuing theory. Less than 1 hour workload.

• YouTube
• 25 minutes
• On-Demand
• Free Online Course