I’ve been teaching calculus for about 9 years now, but when I was learning it for the very first time I remember that I couldn’t understand the relation between limits, derivatives, integrals, sequences and series. They seemed completely unrelated to each other. Now I know that the problem is that I was missing the big…

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Take a look at this equation: 1+sin⁡x+1−sin⁡x=3\sqrt{1+\sin x} + \sqrt{1-\sin x}=\sqrt{3} Now, think to yourself: “How would you go about solving it?” You don’t need to know Calculus to do it, but you do need a very strong foundation in the Language of Calculus. This is actually the main reason people struggle so much with…

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