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Calculus

Applications of derivatives, integrals, and calculus-based reasoning.

Physics

+4

The Calculus of Falling Bodies

Oct 20, 2026

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3 min read

The Calculus of Falling Bodies

How gravity, velocity, and displacement reveal the mathematics behind a falling object

Joseph Foster
Joseph Foster

Algebra

+5

Finding the Domain and Range of a Function

Oct 13, 2026

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1 min read

Finding the Domain and Range of a Function

A first look at a function’s allowed inputs and the outputs it actually reaches

Joseph Foster
Joseph Foster

Nonlinear Functions

+5

Nonlinear Optimization

Oct 5, 2026

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1 min read

Nonlinear Optimization

Finding a function’s maximum and minimum with calculus

Joseph Foster
Joseph Foster

Mathematics

+5

The Product Rule + Chain Rule

Sep 14, 2026

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1 min read

The Product Rule + Chain Rule

Two rules, one derivative

Joseph Foster
Joseph Foster

Math Education

+3

Solving Differential Equations: The Characteristic Equation

Aug 31, 2026

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1 min read

Solving Differential Equations: The Characteristic Equation

How a simple derivative property leads to the general solution

Joseph Foster
Joseph Foster

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