group
What campus are you from?
Daytona Beach
Authors' Class Standing
Jacob Sweeten, Sophomore Angel Velazquez, Sophomore Benjamin Katz, Sophomore Miles Melichar, Sophomore McKenzi Hallenbeck, Sophomore Chirag Kumar, Sophomore
Lead Presenter's Name
Jacob Sweeten
Faculty Mentor Name
Hemanta Kunwar
Abstract
Temperature across a state changes with factors such as latitude and elevation, making it a perfect example of how a function can depend on more than one variable. Our team’s project looks at temperature as a multivariable function that can be studied using concepts from Calculus III, such as double integrals. We’re using Colorado as our model because its mountainous terrain and regional changes give clear temperature differences to analyze. The goal is to build a simple equation for temperature, T(x,y), that shows how it changes across the state and visualize those patterns with gradient fields and level curves. While the project is still in progress, it aims to show how the math we learn in class connects to real-world systems and how multivariable calculus can be used to model and predict temperature variation across a region.
Did this research project receive funding support from the Office of Undergraduate Research.
No
Modeling Temperature Variation Across Regions Using Multivariable Calculus
Temperature across a state changes with factors such as latitude and elevation, making it a perfect example of how a function can depend on more than one variable. Our team’s project looks at temperature as a multivariable function that can be studied using concepts from Calculus III, such as double integrals. We’re using Colorado as our model because its mountainous terrain and regional changes give clear temperature differences to analyze. The goal is to build a simple equation for temperature, T(x,y), that shows how it changes across the state and visualize those patterns with gradient fields and level curves. While the project is still in progress, it aims to show how the math we learn in class connects to real-world systems and how multivariable calculus can be used to model and predict temperature variation across a region.