Mathematics

Linear algebra, calculus, discrete mathematics, and geometric derivations.

Mathematics · 10 min read · beginner

Matrix Multiplication: Geometry, Dot Products, and Transformations

Master matrix multiplication through row-by-column dot products, dimensional compatibility rules, and interactive visual step tracing.

#linear-algebra#matrices

Interactive

Mathematics · 12 min read · intermediate

The Derivative: Instantaneous Rate of Change and Tangent Lines

Explore how the slope of secant lines converges to the tangent line as the interval shrinks to zero, establishing the fundamental definition of the derivative.

#calculus#derivatives

Interactive

Mathematics · 11 min read · intermediate

The Vector Dot Product: Algebraic Computation & Geometric Projections

Master the vector dot product through algebraic component summation, the geometric cosine formula, orthogonality tests, and directional projections.

#linear-algebra#vectors

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