Take your understanding of vector calculus to the next level! In this video, we dive into mastering unit vector time derivatives in spherical coordinates. Learn how to handle changing directions in ...

Dive into Part 3 of our series on spherical coordinates as we demystify velocity and acceleration in three-dimensional space. This video breaks down complex concepts with clear explanations and ...

MOLE is a high-quality (C++ & MATLAB/Octave) library that implements high-order mimetic operators to solve partial differential equations. It provides discrete analogs of the most common vector ...

Abstract: A geometrical approach to teaching and learning vector calculus and analysis as applied to electromagnetic fields is proposed for junior-level undergraduate electromagnetics education. For ...

"Guillemin and Haine’s goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms. Throughout, the authors ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Guided by standardized production and purification platforms, developers of monoclonal antibodies (mAbs) and other recombinant-protein therapeutics can take a relatively straightforward path when ...

Bring a Trailer is auctioning off the first 1990 Vector W8 Twin Turbo, a genuine American supercar from the ill-fated Vector Aeromotive company. Vector was the brainchild of the late Jerry Wiegert, an ...

Abstract: This study investigates the challenges faced by second-year undergraduate engineering students in understanding Stokes’ theorem in vector calculus, focusing on the misconceptions found in ...