What good is the secant?


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Students no sooner learn about the sine and cosine functions, which are strange enough at first, when they are exposed to . Years later, they may reflect (as I have) that they never used the function directly. What were mathematicians … Continue reading


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Typesetting with in WordPress


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When you are blogging about mathematics, you can make your mathematical expressions look professional using . Here are some things you should know. There are plugins available, but if you are hosted on wordpress.com, then you can stick with using … Continue reading

Calculus Handouts


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These are all of the handouts for Calculus AB, 2014-2015. Calculus Handout 1: Lab: Graphing Functions Calculus Handout 2: Warming up your algebra Calculus Handout 3: Dropping the ball Calculus Handout 4: Tangents to a parabola Calculus Handout 5: The … Continue reading

Calculus Website Checklist


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For help with , see my post on typesetting with in WordPress. Blog Post: 'Differential equations, slope fields, and Euler's Method.' It should contain: Nicely labeled link to your Slope Fields (#74) and Slope Fields lab (#76) handouts Under a … Continue reading

Studying the Weierstrass function with desmos


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In calculus, we work with functions that are continuous. In fact, we usually require functions that are also differentiable, meaning that at every point, the function can be approximated with a tangent line. If a function is differentiable at a … Continue reading

Three-in-a-row

I learned about the game of three-in-a-row from H. Steinhaus's Mathematical Snapshots. It begins like tic-tac-toe, but with markers instead of Xs and Os. After 6 markers have been placed, players take turns moving their markers one space at a … Continue reading

Inversive Geometry


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Inversive geometry is a nice way to introduce the idea of geometry mappings, which can lead to the study of the PoincarĂ© disk. With a little effort, the ideas are accessible, and there are an abundance of concepts to learn … Continue reading

Poincaré disk in Processing


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The PoincarĂ© disk is an example of a non-Euclidean geometry. It is a hyperbolic geometry. This means that given a line, and a point not on that line, there are infinitely many parallels through the point. What? Isn't there only … Continue reading

Perudo and Monte Carlo

Perudo (aka Liar's dice) is a game where players have perfect knowledge of their own dice and imperfect knowledge of other people's dice. Players bid on the collective set of dice that is rolled by all players. A player starts … Continue reading