Mathematics and physics you can see.

Interactive lessons, study guides and workbooks by Zaid Berjis. Every idea comes with a visualization you can change and explore.

A square wave from sine waves

\(f_n(x) = \dfrac{4}{\pi} \displaystyle\sum_{k=1}^{n} \dfrac{\sin\big((2k-1)x\big)}{2k-1}\)
Sum of \(n\) terms Square wave

What you will find here

Three kinds of material, written for students who want to understand the idea, not only the answer.

  • Interactive lessons

    Self-study lessons in mathematics, physics and SAT Math, each built around simulations you can change, worked examples that open one step at a time, and questions that check your answers. Free to use on this site.

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  • Study guides

    Nonfiction guides that explain one topic from the ground up, published on Amazon Kindle. Coming soon: AP Calculus Complete Course.

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  • Workbooks

    Practice problems with worked solutions, plus study journals and planners for organizing revision.

    About the workbooks

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