Wrath of Math Courses

Number Theory Problems: Finding Patterns in the 1000th Row

Explore engaging number theory problems involving triangular patterns, consecutive integer sums, and pattern recognition through three concise mathematical challenges.

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

Conditional Distributions of Categorical Variables in Statistics

Explore conditional distributions of categorical variables through examples and charts. Learn to determine associations between variables and interpret data effectively.

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

Limit Comparison Test for Infinite Series - Calculus 2

Master the limit comparison test for infinite series convergence and divergence. Learn the proof, apply it to examples, and enhance your calculus skills in this concise tutorial.

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

A Cuter Way to Undo Square Roots

Explore a charming sequence of nested square roots converging to 2, using the monotone convergence theorem and induction for an elegant mathematical proof.

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

Reduced and Row Echelon Form of a Matrix - Linear Algebra Exercises

Learn row echelon and reduced row echelon forms of matrices. Master Gaussian and Gauss-Jordan elimination techniques for solving linear equations using augmented matrices.

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

When Two Numbers Can Make the Rest - Understanding Bezout's Identity and Greatest Common Divisors

Explore the fascinating mathematical concept of combining multiples of two integers, diving into Bezout's identity, greatest common divisors, and Euclid's division algorithm.

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

Mathematical Properties and Patterns of 2025 - From Perfect Squares to Spanning Trees

Explore fascinating mathematical properties of 2025, from perfect squares and cube sums to spanning trees in complete bipartite graphs, revealing unexpected patterns and relationships.

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

Finding the Optimal Strategy in a Three-Player Integer Game - Game Theory Analysis

Explore game theory through a fascinating three-player integer game, discovering Nash equilibrium concepts and optimal strategies for winning with the smallest unique positive number.

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

Probability of Three Players Getting Identical Poker Hands - A Mathematical Analysis

Delve into the probability calculations and mathematical nuances behind three poker players receiving identical two-card hands, with step-by-step analysis and surprising insights.

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

Introduction to Hyperoperations - From Tetration to Conway's Arrow Notation

Explore hyperoperations in mathematics through a meme, from basic successor operations to advanced concepts like tetration, pentation, and Conway's chained arrow notation.

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

A 1000-Year-Old Trick for Testing Divisibility by 37 Using Casting Out Nines

Discover an ancient mathematical technique for testing divisibility by 37 through casting out nines, exploring modular congruence and number theory concepts in a practical way.

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

Solving the Hardest Problem from the 1986 International Math Olympiad

Delve into the solution of IMO 1986's most challenging problem, exploring the mathematical reasoning behind vertex assignments in a pentagon and the algorithmic transformation process.

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

Counting Multisets and Lottery Combinations - A Mathematical Analysis

Delve into combinatorics and multiset counting through a practical lottery problem, featuring a complete proof using stars and bars methodology and applications to probability theory.

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

Euler's Proof of the Infinitude of Primes Using the Riemann Zeta Function

Discover Euler's elegant approach to proving infinite primes through the Riemann Zeta function, exploring a sophisticated alternative to Euclid's classical contradiction method.

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

The History of the Plus Sign: From Ancient Mathematics to Modern Usage

Explore the fascinating evolution of the plus sign (+) through history, from ancient mathematical texts to modern usage, including its key properties and applications in various mathematical operations.

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