Wrath of Math Courses

Composition of Linear Transformations - Linear Algebra

Explore composition of linear transformations, including definitions, proofs, examples, and theorems. Learn about order, multiple compositions, and one-to-one transformations in linear algebra.

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

Inverse Linear Transformations - Definition and Properties

Explore inverse linear transformations: definition, properties, and examples. Learn how to prove their one-to-one nature and find inverses in this concise, informative video on advanced linear algebra concepts.

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

The Endless Suffering of Power Sets - Understanding Set Theory

Explore power sets, their cardinality, and techniques for writing them. Learn about subsets and gain insights into this fundamental concept in set theory and mathematics.

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

One-to-One and Onto Linear Transformations in Linear Algebra

Explore one-to-one and onto linear transformations, their properties, and examples. Learn about the equivalence between these concepts and their importance in linear algebra.

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

Understanding Discontinuities in Calculus - Why Your Line Has a Hole

Explore the concept of discontinuities in calculus, understanding why graphs have "holes" and their significance in mathematical analysis. Learn to interpret and work with these crucial features.

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

Understanding Tricky Fractions in Algebra - Dividing by Zero and Special Cases

Explore tricky fractions like 1/1, 0/1, 0/0, and 1/0. Dive deep into the nature of division by zero to strengthen your understanding of fractions and avoid common pitfalls in algebra.

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

Mixed Numbers Are Goated - A Defense of Mixed Numbers in Mathematics

Explore the benefits and practical applications of mixed numbers in mathematics, challenging common misconceptions and demonstrating their computational advantages.

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

Rolle's Theorem Explained with Proof - Calculus 1

Comprehensive explanation of Rolle's Theorem, including its proof, visualization, and practical applications in calculus, with examples demonstrating its use in solving mathematical problems.

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

Where This Deadly Proof Falls Apart - Analyzing the Irrationality of sqrt(2)

Explore the classic proof of sqrt(2)'s irrationality and discover its limitations when applied to rational numbers in this insightful mathematical analysis.

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

Kernel and Range of Linear Transformations in Linear Algebra

Explore kernel and range in linear transformations, their definitions, examples, and proof of subspace properties. Gain insights into null space and column space extensions.

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

General Linear Transformations on Vector Spaces

Explore general linear transformations on vector spaces, their properties, and examples. Learn to distinguish between linear and non-linear transformations in this comprehensive overview.

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

Absolute Value Inequalities Word Problems - Algebra 2 Exercises

Master absolute value inequalities through practical word problems, enhancing problem-solving skills in real-world scenarios like speed limits, sports equipment specifications, and court dimensions.

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

Quadratic Forms in Matrix Notation - Linear Algebra

Explore quadratic forms in matrix notation for R^2 and R^3, learning how to write and interpret these essential linear algebra concepts with clear examples and explanations.

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

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
• Self-Paced
• 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
• Self-Paced
• Free Video