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.

Math 108: Brief Calculus with Applications This course is an introduction to the calculus of polynomial, rational, exponential and logarithmic functions, including some multi-variable calculus, with ...

Fractional calculus extends the classical notions of differentiation and integration to non-integer orders, offering an adaptable framework that is particularly well suited to modelling anomalous ...

MATH.1380 — Undergraduate Id: 038099 Offering: 1 Credits: 4-4 Description This is a single variable calculus course with applications to the life sciences. Review of basic algebra, trigonometry, ...

Fractional Calculus and Fractal Functions Publication Trend The graph below shows the total number of publications each year in Fractional Calculus and Fractal Functions.

Math 115 - Pre-Calculus is an in-depth study of functions. Several function classes are studied, including linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric ...

This is probably the last of three articles on how piecewise-linear functions could be used as a helpful on-ramp to the big ideas in calculus. In the first article, we saw how it’s possible to ...

The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

But I argued that it would be more helpful to students’ understanding of the derivative to start with a simpler case first, namely to use only piecewise-linear functions at the beginning.