Wrath of Math Courses

Pythagorean Expectation in Sports Analytics - Using Math to Predict NFL Success

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Explore how Pythagorean expectation in sports analytics predicts NFL team performance, focusing on its application to the Kansas City Chiefs' 2024 Super Bowl prospects.

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

Understanding Decimal Expansions - Why Some Numbers Repeat and Others Don't

Uncover the mathematical principles behind decimal patterns, exploring why certain fractions create repeating decimals while others terminate, through prime factorization and irrational numbers.

• YouTube
• 13 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

Finding the Greatest Common Factor Using Euclid's Algorithm

Master Euclid's algorithm for finding greatest common divisors, from its historical origins to modern applications in solving diophantine equations, with proven computational efficiency methods.

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

The Paradox of Intransitive Preferences in Rational Choice Theory

Explore the fascinating concept of intransitive preferences in rational choice theory, examining the money pump paradox and its implications for mathematical decision-making models.

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

Understanding Student Loan Debt - Interest, Calculations, and Financial Impact

Understand how student loan interest works, from compound and simple interest to capitalization, and learn crucial financial concepts to manage educational debt effectively.

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

The Stick and Balls Method - Combinatorial Proof Techniques for Counting Problems

Master combinatorial proof techniques using sticks and balls method to solve counting problems, from basic compositions of integers to complex mathematical puzzles and applications.

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

The Unsolved Problem of Reconstruction in Graph Theory

Explore the fascinating Reconstruction Conjecture in graph theory through an engaging card-deck analogy, discovering how vertex-deleted subgraphs can potentially rebuild mystery graphs.

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

Winning Strategy for Bachet's 1612 Combinatorial Game

Discover the winning strategy for a fascinating 1600s mathematical game, exploring combinatorial theory and historical recreational mathematics from Bachet de Meziriac's 1612 work.

• YouTube
• 10 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 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

Exploring Historical and Modern Definitions of Mathematics

Explore diverse perspectives on defining mathematics through historical and modern viewpoints, from Bertrand Russell's formal approach to contemporary math enthusiasts' interpretations.

• YouTube
• 23 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

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