Category: Section 1
Electric Fields
Field in physics means a region where every position is tied to a value, which can be either scalar or vector. Vector fields apply many concepts, ideas, and computations from multivariable calculus, since if we plot a field in a … Continue reading “Electric Fields” →
Lagrange Multipliers in Economics
Shuwen was inspired by an in-depth exploration of the course ECON201. During this course, the concept of “Lagrange Multipliers” stands out as an important topic. This mathematical principle, which is also a significant component of multivariable calculus, serves as a … Continue reading “Lagrange Multipliers in Economics” →
Modeling Chairs Using Multivariable Calculus
At the beginning of the semester, Ellie and I were putting random equations into a 3D grapher, and we made one shape that we thought looked like it would be comfortable to sit in! This inspired us to make chairs … Continue reading “Modeling Chairs Using Multivariable Calculus” →
Rapunzel’s Tower from Tangled in Mathematica
I choose to model Rapunzel’s tower from the Disney animated movie in Mathematica as my project for Multivariable Calculus. I did this by breaking the tower into sections that resemble the equations of surfaces that were covered in class. These … Continue reading “Rapunzel’s Tower from Tangled in Mathematica” →
Impact of Weather Variables on Labor Productivity in Construction Industries
Our project, inspired by Adrian’s work, explores the interplay of temperature, humidity, and labor productivity in construction using partial derivatives, local linearization and gradient vector. Despite encountering challenges in data acquisition and visualization, our findings emphasize the influence of these … Continue reading “Impact of Weather Variables on Labor Productivity in Construction Industries” →
Hurricanes
I chose to present on hurricanes because I am from Orlando, FL and am very familiar with the danger of these storms. The top left quadrant includes a model of the center walls of a hurricane, presented as vectors of … Continue reading “Hurricanes” →
Parameterization of a Single Crochet Loop
I like to see complexity in the things that seem mundane. While spending many weekends with my grandmother, I learned how to knit plastic mats out of a makeshift yarn she likes to call “plarn”. While struggling to perfect my … Continue reading “Parameterization of a Single Crochet Loop” →
Spirographs: Translating a Drawing to a Mathematical Model
I was drawn to this project because one of my goals for taking multivariable calculus was to gain proficiency with mathematica so I chose an idea that revolved around using the software system. In the final section of our mathematica … Continue reading “Spirographs: Translating a Drawing to a Mathematical Model” →
Partial Differential Equations
My project focuses on the study and application of partial differential equations (PDEs), which are mathematical equations that involve multiple independent variables and their partial derivatives. PDEs are fundamental tools in describing and understanding various physical phenomena, ranging from heat … Continue reading “Partial Differential Equations” →