What Are Orthogonal Polynomials? Inner Products on the Space of Functions

The Analysis of the Unit Circle as a Planar Curve in Differential Geometry.

Kinematic Analysis of a Rigid Bar

Classical Euclidean Geometry Is Limited to Three Dimensions

Differentiation of Vectors: What It Actually Means to DIfferentiate a Vector-Valued Function!

Why did the Russians hate Stalin? Norm McDonald would love this joke

The Medians of a Triangle Are Concurrent, A Vector-Based Proof - As Straightforward as It Gets!

A Simple Solution to an Otherwise Challenging Problem - Algebra and Geometry Working Together!

The Diagonals of a Rhombus Intersect at a Right Angle - A Dot Product Proof

The SIMPLEST proof ot the Pythagorean Theorem - a visual approach even a kindergartener would get!

What Is a Vector? It depends! Geometric perspective vs Linear Algebra vs ℝⁿ

Mr. Tibbs, the Queen's butler in BFG made a math mistake. Did the Movie Get It Right? We Investigate

A Lesson in Daring, Flair, and Beauty: Archimedes' Incredible Breakthrough in Squaring the Parabola

How the Greeks Approached the Concept of Area. Archimedes' Method of Exhaustions

The MOST Fundamental Concepts in Differential Geometry, & SURPRISE: Math always start in the middle!

Gilbert Strang's Final MIT Lecture

The Strang Decomposition A = CR

An elementary surface integral formula you've never heard of

Vector Calculus 25: The Frenet Identities for a Planar Curve

Vector Calculus 24: The Principal Normal and Curvature of a Planar Curve

Vector Calculus 23: The Laws of Vector Differentiation

Vector Calculus 22: The Distance Between a Point and a Curve

Vector Calculus 20: Heron's Problem, a Vector-Analytic Solution

Vector Calculus 0: Why Vector Calculus?

Nothingburger integrals involving the natural logarithm - Integration by Substitution, Calculus 2