In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

The limit of a function is a fundamental concept in Calculus, defining the behavior of a function as the input approaches a specific value. The limit allows mathematicians to analyze functions near ...

Abstract: A data-type for differential calculus is introduced, which is based on domain theory. We define the integral and also the derivative of a Scott continuous function on the domain of intervals ...

Abstract: In this study, we establish a dynamic assessment test system in the topic of "limit and continuous functions" and analyze its functional efficiency. In the first year, a paper-and-pencil ...

In the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...

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A derivative is a function which measures the slope. It depends upon x in some way, and is found by differentiating a function of the form y = f (x). When x is substituted into the derivative, the ...

In the real world, it is very difficult to explain behavior as a function of only one variable, and economics is no different. More specific economic interpretations will be discussed in the next ...

Can you think of your life where nothing changed? Those moments are rare, as everything in our life is subject to transformation. The amount of food we eat every day, the number of steps we take, and ...