Wrath of Math Courses

Orthogonal Projections on Inner Product Subspaces - Linear Algebra

Explore orthogonal projections in inner product spaces, including the projection theorem and methods for calculating projections onto subspaces and orthogonal components.

• YouTube
• 14 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

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

Introduction to Combinatorics and Counting Principles - From Basic Problems to Sieve Theorem

Explore fundamental combinatorics through basic counting problems, clever enumeration techniques, and the sieve theorem. Master essential principles for calculating elements in set unions and solving complex counting challenges.

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

Solving a Math Puzzle - Henry and the 32 Hogs Marriage Problem

Dive into a challenging mathematical puzzle involving couples at a farm auction, using factoring and Diophantine equations to determine spousal relationships.

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

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

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

The Mayan Number System - Understanding Vigesimal Mathematics and Arithmetic

Explore the fascinating Mayan numerical system, from its unique vigesimal base and zero concept to practical arithmetic operations using dots, bars, and shells.

• 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 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

Margin of Error in Confidence Intervals - Statistics Guide

Comprehensive guide to calculating and interpreting margin of error in confidence intervals for various statistical scenarios, with practical examples and tips for adjusting sample size.

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

Most of the Sky is Below You - A Mathematical Analysis Using Calculus and Geometry

Explore a fascinating mathematical analysis of why most of the sky actually lies below our horizon, using calculus, trigonometry, and geometric principles to challenge common perceptions.

• YouTube
• 23 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