Fractal calculus represents a significant extension of traditional calculus, providing a robust framework for the analysis of functions defined on irregular, non-differentiable fractal sets. This ...

Calculus to the level of ODEs, partial derivative and multiple integrals, some knowledge of PDEs helpful but not essential. Students should have a certain comfort level with dealing with advanced ...

THIS work fills a distinct gap in the mathematical student's library by giving an account of tensor methods in their application to the more elementary problems of geometry and physics. Of the four ...

State Assembly Bill 1705, originally signed into law in 2022, is being implemented this year at California community colleges ...

In this video, we explore line integrals in polar coordinates, a key concept in mathematical physics. I’ll guide you through how to set up and evaluate line integrals in polar systems, including ...

The sums of squares in the general unequal numbers analysis of variance for an n-way or n-factor classification may be obtained in general terms from standard regression theory. However, the computing ...

Biology majors and pre-health students at many colleges and universities are required to take a semester of calculus but rarely do such students see authentic applications of its techniques and ...

In recent years, various operators of fractional calculus (that is, calculus of integrals and derivatives of arbitrary real or complex orders) have been investigated and applied in many remarkably ...