Mathematician how-to
How to Turn a Real Problem into a Math Model
Modeling connects math to the world.
Quick answer
Modeling connects math to the world. In short: define; list; state, then complete the remaining steps below.
Step by step
Define the question.
List variables.
State assumptions.
Write equations.
Solve or simulate.
Check against data.
Safety reminders for mathematicians
- Protect classified data
- Follow research ethics
- Document assumptions
- Disclose limitations
Key terms
Proof · Theorem · Model · Algorithm · Differential equation · Linear algebra: see the full mathematician glossary.