Wrath of Math Courses

Understanding the Floor Function and Greatest Integer Function in Mathematics

Explore the fascinating floor function in mathematics, from its graphical representation to key properties and real-world applications in this engaging mathematical deep dive.

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

Simple Explanation of the Birthday Paradox - Understanding Probability and Mathematics

Uncover the surprising mathematics behind the Birthday Paradox and learn why only 23 people are needed for a likely birthday match, with clear explanations and intuitive reframing of probabilities.

• YouTube
• 12 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• 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

AP Calculus AB 2024 Free Response Questions Solutions

Comprehensive solutions for 2024 AP Calculus AB exam free response questions, covering topics like temperature, particle motion, differential equations, integrals, implicit differentiation, and volumes.

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

AP Calculus BC 2024 Free Response Questions Solutions

Comprehensive solutions for 2024 AP Calculus BC Free Response Questions, covering topics from temperature modeling to Maclaurin series, with step-by-step explanations for each problem.

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

Multiplication Methods in the 1500s - The Grounde of Arts by Robert Recorde

Explore a unique 16th-century multiplication method from Robert Recorde's popular arithmetic textbook. Discover its strengths, weaknesses, and validity through examples and proofs.

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

Double Factorial: Introduction to the Alternate Factorial

Explore the double factorial (!!), its unique properties, and applications in graph theory. Discover how this alternate factorial notation skips every other number while respecting parity.

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

The Most Impressive Math Trick - Remembering and Adding 10 Numbers Instantly

Discover an impressive math trick that blends mathematical trickery with mental math, allowing you to seemingly remember and add 10 numbers in seconds. Learn the secrets behind this mind-blowing effect.

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

AP Calculus AB and BC Free Response Questions Review - 55 Problems

Comprehensive review of AP Calculus AB/BC topics through 55 free-response questions, offering in-depth solutions and exam preparation for advanced mathematics students.

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

Master Integrals with Power Rule - Calculus 1 Exercises

Comprehensive tutorial on power rule integrals, covering 20 problems of increasing complexity. Includes definite and indefinite integrals with fractions, roots, absolute values, and rational exponents.

• YouTube
• 1 hour 8 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