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BetterExplained – Math lessons that click
Why Is Better Explained Different?
Most lessons offer low-level details in a linear, seemingly logical sequence. Better Explained focuses on the big picture — the Aha! moment — and then the specifics...
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Understanding the Monty Hall Problem – BetterExplained
There are 3 doors, behind which are two goats and a car.
You pick a door (call it door A). You’re hoping for the car of course.
Monty Hall, the game show host, examines the other doors (B & C) and ope...
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An Intuitive Guide to Linear Algebra – BetterExplained
Despite two linear algebra classes, my knowledge consisted of “Matrices, determinants, eigen something something”.
Why? Well, let’s try this course format:
Name the course
Teach concepts like Row/Col...
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Vector Calculus: Understanding Circulation and Curl – BetterExplained
Vector Calculus: Understanding Circulation and Curl
Circulation is the amount of force that pushes along a closed boundary or path. It's the total "push" you get when going along a path, such as a cir...
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Demystifying the Natural Logarithm (ln) – BetterExplained
Given how the natural log is described in math books, there’s little “natural” about it: it’s defined as the inverse of $e^x$, a strange enough exponent already.
But there’s a fresh, intuitive explana...
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How To Learn Trigonometry Intuitively – BetterExplained
Trig mnemonics like SOH-CAH-TOA focus on computations, not concepts:
TOA explains the tangent about as well as $x^2 + y^2 = r^2$ describes a circle. Sure, if you’re a math robot, an equation is enough...