Month: July 2023

This project aims to show how the work performed on an object can be calculated using the dot product of the vectors of the object’s displacement and the net force acting on the object. In physics, work is defined as the … Continue reading “Rolling into Mathematics: The Dot Product of a Rolling Ball” →

My project was graphing Snoopy on his little red cabin, as well as using some other skills we learned in class to graph spirographs and other shapes. In order to do this, I used Mathematica and inspired myself from some … Continue reading “Snoopy’s Christmas” →

There is more of the relationship between Multivariable Calculus and the food that we consume in our daily lives than we usually think! For our project, we created four different shapes of pasta in Mathematica which demonstrates how technology can … Continue reading “Using Multivariable Calculus to Graph Pasta Shapes” →

We chose to model the Multipurpose Laboratory Module (Nauka) and the European Automated Transfer Vehicle (ATV), which are two important components of the International Space Station (ISS). The ISS is a scientific laboratory that orbits around the Earth 16 times … Continue reading “3D- Modeling of the International Space Station” →

We wanted to graph a structure that represented the number of languages different countries around the world spoke. To do this, we first chose various countries from every continent in order to get an accurate sample and figured out how many … Continue reading “Languages Around the World” →

When thinking about where your next meal comes from, always remember, math is everywhere. Pasta comes in all shapes and sizes. We were fascinated with its ability to take in water, and form. Therefore, we decided to make our own … Continue reading “Pasta La Vista!” →

The typical shape of a bagel is fairly recognizable as a doughy-looking circle with a hole straight through the middle. Although the shape is fairly simple, it is interesting when graphed with parametric equations. The formula for graphing a bagel … Continue reading “Modeling a Bagel (Torus)” →

The electric current in a long wire creates a magnetic field around the wire. Magnetic field lines (𝐵) form circles around the wire. The direction of those lines depends on the direction of the current (I) and can be determined using the … Continue reading “The Magnetic Fields of Parallel Wires” →

My project entails naturally occurring shapes such as flowers that were graphed using parametric equations and polar equations to represent circles that were manipulated to create different shapes such as the wings of a butterfly, a flower and a 3D … Continue reading “Naturally Occurring Shapes” →

Both of us are fond of Chinese architecture and were motivated to rebuild three famous Chinese architectures using the Mathematica formulas we learned in class. The Oriental Pearl Tower is a broadcasting and sightseeing tower located at the side of … Continue reading “Soarin’ Over China” →