What is Math Modeling?
Mathematical modeling refers to the process of creating a mathematical representation of a real-world scenario to make a prediction or provide insight. Check out the video to learn how mathematicians use it to solve a whole range of real-world problems.
While it can sometimes feel intimidating to get started, the resources below can help you get started using creativity and the math you already know!
What does the math modeling process look like?
Mathematical modeling can be thought of as an iterative process made up of the following components:
Define the Problem
Modeling problems are open-ended, so the modeler should clearly specify what it is they would like to find.
Make Assumptions
It is impossible to account for all the factors that impact a given situation, so the modeler must choose what is most important to include.
Define Variables
Making assumptions reveals variables that will be needed. Start with a small number of variables representing only the most important factors.
Get a Solution
Once a relationship between variables has been established, use familiar mathematical and computational tools to solve.
Analyze the Solution
When considering the results and insights gained from the model, ask if the answer makes sense.
Iterate
Refine the model by repeating the process, adjusting as needed to improve the solution.
Communicate
A clear report on the model, solution technique, and results makes the model understandable to others.
Want more information? Check out this one-page summary of the math modeling process. Dig in even further by reading these free math modeling handbooks for newbies!
Video Series
What is Math Modeling?
Check out this quick how-to video series featuring students working through the components of the modeling process!
Video Series
Essentials of Math Modeling
For a deep dive into the modeling process, watch Essentials of Math Modeling, a seven-part workshop series focused on students, and featuring technical computing with MATLAB. The first hour of each is instructional and most valuable. Second part is interactive/working through parts of problems.
