Wrath of Math Courses

Counting Rhyme Schemes Using Bell Numbers and Partitions

Explore the mathematical intricacies of counting rhyme schemes through Bell numbers, partitions, and recursive formulas in poetry analysis - from basic patterns to complex calculations.

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

Solving the Hardest Problem from the 2024 Putnam Math Competition

Dive into an advanced analysis of the 2024 Putnam Competition's most challenging problem B5, exploring its complex solution through mathematical facts, induction, and detailed explanations.

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

The Vinculum - History and Uses of a Fundamental Mathematical Symbol

Explore the fascinating history and diverse applications of the vinculum symbol in mathematics, from complex numbers and set theory to Roman numerals and decimal notation.

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

Converting Repeating Decimals to Fractions Using Geometric Series

Master the technique of converting repeating decimals into fractions through geometric series, from simple cases like 0.999... to complex ones like 0.142857..., with clear mathematical reasoning.

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

An Indian Geometry Problem from 1000 Years Ago - Mahāvīra's Gaṇita-sāra-saṅgraha

Explore a fascinating 9th-century geometry puzzle from Indian mathematician Mahāvīra, using similar triangles and algebra to solve this historical mathematical challenge.

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

Moving Submarine Number Line Puzzle - Mathematical Strategy and Solution

Engage with a challenging mathematical puzzle about tracking and intercepting a moving submarine using number lines, velocity, and strategic problem-solving techniques.

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

Comparing Large Exponents: 2016^17 vs 2017^2016 - A Mathematical Analysis

Dive into advanced exponent comparison techniques using calculus, logarithmic differentiation, and inequalities to solve complex mathematical challenges like comparing 2016^17 to 2017^2016.

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

Two Way Tables and Marginal Distributions in Statistics

Explore two-way tables and marginal distributions in statistics. Learn to analyze categorical variables, use percentages, and create bar charts for data interpretation.

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

Power Method for Dominant Eigenvalues and Eigenvectors in Linear Algebra

Learn to approximate dominant eigenvalues and eigenvectors using the power method with maximum entry and Euclidean scaling. Explore power sequences, Rayleigh quotient, and geometric intuition in linear algebra.

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

The Most Impressive Math Trick - Remembering and Adding 10 Numbers Instantly

Discover an impressive math trick that blends mathematical trickery with mental math, allowing you to seemingly remember and add 10 numbers in seconds. Learn the secrets behind this mind-blowing effect.

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

Introduction to Ferrers Diagrams and Integer Partitions

Explore Ferrers diagrams and integer partitions, learning how to represent and analyze number combinations while discovering key relationships between different partition types and their conjugates.

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

Discovery of New Mersenne Prime Number - Mathematical Tests and Perfect Numbers

Discover the fascinating world of Mersenne primes through the recent discovery of a 41-million-digit prime number, exploring primality tests and perfect numbers along the way.

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

The 100 Prisoners Problem - Optimal Solution Using Permutations and Probability

Explore the fascinating solution to the 100 prisoners problem through permutations, cycles, and probability theory, revealing an unexpected mathematical strategy for survival.

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

Geometric Definition of the Dot Product and Two-Dimensional Multiplication

Dive into the geometric foundations of dot products, from basic vector multiplication to advanced concepts in R^2, including component definitions, law of cosines, and applications in higher dimensions.

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

The Moving Sofa Problem - A 60-Year Mathematical Quest for the Optimal Solution

Delve into the fascinating 60-year mathematical journey of the moving sofa problem, from its 1966 origins to the recent breakthrough solution proving Gerver's sofa as the optimal design.

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