Welcome back. Over the last few weeks, we have studied what I hope are some fascinating results in mathematics. We have developed the theory behind multivariable calculus and applied it to describe well-behaved fluids. We have also put the classic Riemann integral on rigorous footing and proven the second Fundamental Theorem of Calculus. This week, we will continue our journey … [Read more...] about Partial Differential Equations Meet Electricity & Magnetism: Maxwell’s Equations, Poisson’s Equation, and Eigenfunctions of the Laplacian
Articles
The Digital Democracy of Music: Is Artistic Freedom Still Alive?
The music industry is notoriously unfair to artists. It's become a tragic love story: slimy executive meets young, hopeful artist - someone is bound to get hurt. Without direct industry experience, the general public suspects that record labels are greedy and take unfair portions of artist revenues. Over the years, the music industry has attempted to rectify these inequalities … [Read more...] about The Digital Democracy of Music: Is Artistic Freedom Still Alive?
The Triumph of WAP in Destabilizing Cultural Mysogynoir
Within a medium as pervasive as the pop music industry, the designation of a work as a “cultural reset” influences all those who take note of its meaning. A “cultural reset,” as first coined by actress Rose McGowan, is defined as a power shift, a vehicle through which normative culture is examined and questioned (Rennex et al.). The modernity of the term pairs accordingly with … [Read more...] about The Triumph of WAP in Destabilizing Cultural Mysogynoir
Hope Amid Racial/Class Inequalities in The Great Debaters and Parasite
While vastly different in their content and genres, Denzel Washington’s The Great Debaters and Bong Joon-ho’s Parasite show the institutionalization of racial and class inequalities, respectively. Through defining moments in the two films, for example, the lynching scene in The Great Debaters (hereafter referred to as TGD) and the “smell” of the Kim family in Parasite, the … [Read more...] about Hope Amid Racial/Class Inequalities in The Great Debaters and Parasite
Predicting the Path a Particle Will Take in a Fluid: A Brief Overview
I hope that all of my readers have had a restful Thanksgiving Break and are ready to begin their final exam studies. This week, we will discuss how to design a numerical program that will predict the path a particle will take in a real-world fluid flow. To do this, we must first outline our overall problem. Suppose that we have mounted a wing inside a wind tunnel. When we … [Read more...] about Predicting the Path a Particle Will Take in a Fluid: A Brief Overview






