Wrath of Math Courses

Orthogonal Diagonalization Explained - Linear Algebra

Explore orthogonal diagonalization in linear algebra, covering symmetric matrices, eigenvectors, and the Gram-Schmidt process. Includes step-by-step examples and proofs of key theorems.

• YouTube
• 17 minutes
• On-Demand
• Free Video

Transition Matrix for Axes Rotation in 3D and 2D - Linear Algebra

Explore transition matrices for axes rotation in 2D and 3D spaces, covering orthogonal matrices, rotation equations, and practical examples to re-express points in rotated coordinate systems.

• YouTube
• 13 minutes
• On-Demand
• Free Video

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

LU-Decomposition of a Matrix - Linear Algebra Explained

Explore LU-Decomposition in linear algebra: definition, applications for solving systems, step-by-step process, and examples. Master this powerful technique for efficient matrix analysis.

• YouTube
• 21 minutes
• On-Demand
• Free Video

The History of Math Through its Greatest Mathematicians

Explore the lives and contributions of influential mathematicians through a review of E.T. Bell's "Men of Mathematics," gaining insights into the historical development of mathematical ideas.

• YouTube
• 10 minutes
• On-Demand
• Free Video

Definite Integrals of Absolute Value Functions - Calculus 1 Exercises

Master integrating absolute value functions by splitting integrals at x-intercepts. Learn to compute definite integrals for linear and quadratic absolute value functions in calculus.

• YouTube
• 12 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video