Free Sample Lessons


Calculus


What is a Differential Equation?

Lots of calculus students learn to solve differential equations without ever understanding what they really mean. Here's an example of how a differential equation works. Copyright © 2020 by Michael Litzky

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Algebra 2


How Fraction Exponents Work

A simple explanation of why fraction exponents are the same as square roots. Copyright © 2016 by Michael Litzky

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The Zero Power

Another sample lesson: why is something to the zero power equal to one? Copyright © 2016 by Michael Litzky

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Pre-Calculus


Summing An Arithmetic Series

This lesson is for students studying sequences and series. It explains the formula for summing an arithmetic series. It also tells an interesting story about how a ten-year-old boy figured out the formula. Behold: a mathematical proof made interesting and easy to follow! Copyright © 2011 by Michael Litzky

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Proving Basic Trig Identities

Some strategies for proving trigonometric identities. Copyright © 2012 by Michael Litzky

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Algebra 1


Solving Word Problems involving Motion

A lively presentation of how to solve a two different word problems involving motion, using distance = rate * time. Best viewed full screen. Copyright © 2020 by Michael Litzky.

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Saved by a Word Problem -- It Really Happens!

A lively and amusing example of using "guess and check" to write an equation to solve a word problem which got me out of a jam. Just like we teachers always tell you might happen someday: this really happened to me! Copyright © 2011 by Michael Litzky.

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Chemistry


Solving an Equilibrium Problem

This video walks you through the multifarious steps and guides you past all the gotchas in solving an equilibrium problem. I'll assume you know what equilibrium problems *are* and just need some practice *doing* them. Copyright © 2020 by Michael Litzky.

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