Calculus is one of the most powerful tools in mathematics, used for everything from physics to economics. But what is its origins? The development of calculus was a long process, shaped by many brilliant mathematicians over thousands of years. This article explores the key moments in the history of calculus, from ancient methods to the…
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Have you ever had trouble remembering when sines, cosines, and tangents are positive or negative? If so, you may want to remember the mnemonic ASTC, which stands for All, Sine, Tangent, Cosine and can be remembered as “All Students Take Calculus.” The acronym tells you which trig functions are positive in each quadrant, starting from…
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Calculus is a superpower in math. From predicting planetary orbits to optimizing internet speeds, it’s been a cornerstone of countless advancements. But who invented this power tool? Actually, it took the collective genius of many mathematicians over millennia to develop the calculus we know today. Ancient Calculus Eudoxus and the Method of Exhaustion Imagine trying…
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Introduction The Fundamental Theorem of Calculus (FTC) is extremely important for relating the study of derivatives and integrals. One part states that given a function \( f(x) \) and \( \displaystyle F(x) = \int_a^x f(t)\,dt \) it is true that \( \displaystyle F’(x) = f(x) \). \( F(x) \) can be viewed as an area…
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