Wrath of Math Courses

Describing Solution Sets from Row Echelon Form - Linear Algebra Examples

Learn to describe solution sets for linear equation systems using row echelon form matrices. Assign parameters to free variables and solve for leading variables to express complete solution sets.

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

Orthogonal Matrices and Their Properties - Linear Algebra

Explore orthogonal matrices: definition, examples, properties, and geometric interpretations. Learn about their equivalence to matrices with orthonormal row and column vectors.

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

Least Squares Fit of a Polynomial - Linear Algebra

Learn to determine polynomial coefficients for best-fit curves using least squares method. Practical example with quadratic fit for four data points, covering system equations, normal equation, and result interpretation.

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

Linear Systems Using Row Operations and Back Substitution - Linear Algebra Exercises

Learn to solve linear systems using Gaussian elimination, including row operations and back substitution. Covers unique and infinite solution cases with clear examples and step-by-step explanations.

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

Three Ways to Find Determinant of a 3x3 Matrix - Linear Algebra Exercises

Learn three efficient methods to calculate 3x3 matrix determinants: cofactor expansion, diagonal trick, and row operations. Master these techniques to enhance your linear algebra problem-solving skills.

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

Gram-Schmidt Orthogonalization - Proof and Example in Linear Algebra

Comprehensive exploration of Gram-Schmidt orthogonalization, covering proof, process, and practical application in R^3. Ideal for deepening understanding of orthonormal bases in linear algebra.

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

Finding Horizontal Asymptotes Using Limits - Calculus 1 Exercises

Learn to find horizontal asymptotes using limits at infinity. Covers various function types with 7 examples, including rational, trigonometric, and radical functions. Ideal for calculus students seeking practice.

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

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

A Very Hard 9th Grade Math Problem - Graph Theory Solution

Explore an advanced 9th grade competition problem using graph theory, edge colorings, and bipartite graphs to find an elegant solution involving mathematical reasoning and construction.

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

Which Famous Math Trio is Best? - Exploring Beloved Mathematical Triplets

Explore famous mathematical trios like points, unknowns, counters, and sets while discovering which beloved triplet deserves the top spot in mathematics.

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

Does 0.4999... Round Up or Down? - Exploring Rounding Conventions and Mathematical Principles

Explore the fascinating question of whether 0.4999... rounds up or down by examining rounding conventions and discovering why 0.4999... equals 0.5 in mathematical terms.

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

Solving Langley's Adventitious Angles - A Deceptively Difficult Geometry Problem

Unlock the secrets of a deceptively challenging geometry problem that stumped Reddit and math teachers, exploring Langley's Adventitious Angles through clever constructions.

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

His Homework's a Crazy Hard 100 Year Old Puzzle - Mrs. Perkin's Quilt Problem

Uncover the fascinating history behind Mrs. Perkin's Quilt, a century-old mathematical puzzle that connects primary school homework to advanced research in squaring problems.

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

Can the Average Person Really Not Solve This? - Simplifying Radicals Problem

Master radical simplification through a viral math problem that supposedly stumps most people, plus learn to create similar challenges yourself.

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

Viral Elementary School Math Question - Analyzing an Unsolvable Problem

Explore a viral elementary math puzzle about Dina's baking times that stumped teachers and sparked internet debate about ambiguous problem-solving.

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