Wrath of Math Courses

The Mathematics Behind an Impossible Card Trick - A Combinatorial Analysis

Uncover the mathematical secrets behind a seemingly impossible card trick through combinatorial analysis and learn a practical method to perform this mind-bending illusion yourself.

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

Van der Waerden Numbers and Arithmetic Progressions in Integer Colorings

Explore Van der Waerden's theorem and Ramsey theory through 2-colorings of integers, discovering how arithmetic progressions emerge and understanding fundamental mathematical bounds and proofs.

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

Beyond FOIL - Alternative Methods for Polynomial Multiplication

Discover alternative approaches to polynomial multiplication beyond FOIL, including efficient methods for trinomials and larger expressions using rectangle and table techniques.

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

Calculating Permutations of Multisets Using Flower Arrangements

Master the calculation of multiset permutations through practical examples like flower arrangements and word patterns, including special cases with restrictions and the classic Mississippi problem.

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

Understanding Berry's Paradox - A Critical Analysis of Its Flawed Premise

Explore Berry's Paradox and its flawed premise through an engaging analysis of mathematical descriptions, linguistic arguments, and logical resolutions in number theory.

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

The Probability of Relatively Prime Numbers - A Mathematical Analysis

Explore the fascinating probability of coprime numbers through infinite series, the Basel problem, and fundamental probability laws - all explained with clear mathematical reasoning.

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

Why No Polynomial Can Generate Prime Numbers - A Mathematical Proof

Discover why polynomials cannot generate only prime numbers through an exploration of Mersenne primes, Fermat primes, and fundamental mathematical proofs.

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

TONCAS - Introduction to Graph Theory and Mathematical Conditions

Discover the powerful TONCAS mathematical acronym and its applications in graph theory, exploring bipartite graphs, planar embeddings, and degree sequences through clear mathematical reasoning.

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

Introduction to Combinations and the Binomial Theorem - From Counting Candies to Pascal's Triangle

Master combinations, permutations, and the binomial theorem through a fun candy-counting problem, exploring Pascal's triangle and practical applications in mathematical calculations.

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

Quick Mental Math Tricks - Multiplying by 7.5 and 12.5

Master quick mental math techniques for multiplying numbers by 7.5 and 12.5, focusing on practical shortcuts that work especially well with numbers divisible by 4.

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

Introduction to Subfactorials and Derangements in Combinatorics

Explore the fascinating concept of subfactorials and derangements through an engaging mathematical journey, using real-world examples of men, hats, and probability calculations.

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

Understanding Robust Statistical Measures - The Median's Advantage

Discover why the median stands out among measures of central tendency, exploring its robustness against outliers and its role in creating reliable statistical measurements.

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

The Four Fundamental Subspaces and the Fundamental Theorem of Linear Algebra

Explore fundamental subspaces in linear algebra: row, column, null, and left null spaces. Learn their relationships, dimensions, and orthogonality, culminating in the fundamental theorem.

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

Least Squares Solutions and Deriving the Normal Equation - Linear Algebra

Explore least squares solutions, deriving the normal equation for inconsistent systems. Learn best approximation theorem, its application in R^n, and solve examples with unique and infinite solutions.

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

Matrices for General Linear Transformations - Linear Algebra

Explore transformation matrices for linear transformations, including coordinate translation, matrix multiplication, and formula derivation. Gain practical insights through examples and applications in linear algebra.

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