MATH MODELING

MATH MODELING

1. MODELING IS A PROCESS THAT USES MATH TO REPRESENT, ANALYZE, MAKE PREDICTIONS, OR OTHERWISE PROVIDE INSIGHT INTO REAL-WORLD PHENOMENA.

2. HOW DO THEY HELP US?

   • It turns out that math, from arithmetic to calculus and beyond, can help us with recycling, a new flu outbreak, or even rides like the roller coaster.

3. It also helps us to analyze, make predictions or provide information about the real world and we can always find a pattern in our life..

4. DEFINE THE PROBLEM

   • Phases: 1. Make a hypothesis that talks about your model and how it will predict it. 2. Collect preliminary data 3. Make assumptions from your relevant data.

5. MAKING ASSUMPTIONS

   • Phases: 1. Brainstorm 2. Collect preliminary data 3. Make assumptions in the absence of relevant data.

6. DEFING VARIABLES

   • There are three types of variables: 1. Independent variables (outputs) according to the information you are looking for. 2. Independent variables (input) according to the information you know. 3. Fixed model parameters: which are constant quantities

7. GETTING A SOLUTION

   • Phases 1. Use software tools or math you already know. 2. You can discover more than one way to approach a problem. 3. Consider that various methods can have different solutions.

8. ANALYSIS

   • Phases: 1. Allow enough time to analyze the results 2. Examine your model 3. make sure to validate

9. REPORTING THE RESULTS

   • You need to justify all the assumptions and cite all the sources you used, and it is necessary that you take into account taking good notes to be able to explain each step of your mathematical model