What is a course in math modeling like compared to physics?

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SUMMARY

A mathematical modeling course, particularly for applied mathematics majors, focuses on applying mathematical concepts to real-world scenarios, distinct from physics applications. Examples include modeling control systems for blood sugar regulation and interactions among populations with varying cultural characteristics. The course emphasizes the creation and analysis of mathematical models rather than purely theoretical physics. A sample syllabus from Illinois Tech illustrates the course structure and content.

PREREQUISITES
  • Understanding of mathematical modeling concepts
  • Familiarity with differential equations
  • Basic knowledge of control systems
  • Experience with data visualization techniques
NEXT STEPS
  • Review the syllabus for Mathematical Modeling courses, such as the one from Illinois Tech
  • Explore applications of differential equations in various fields
  • Learn about control system design and analysis
  • Investigate data visualization tools for representing mathematical models
USEFUL FOR

Students in applied mathematics, educators designing curriculum, and professionals interested in the practical applications of mathematical modeling beyond physics.

Vitani11
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In a mathematical modeling course (intended for applied mathematics majors at my school) you apply math to real life situations. I am a physics major so I know what goes on there, but how is math modeling different?
 
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Vitani11 said:
In a mathematical modeling course (intended for applied mathematics majors at my school) you apply math to real life situations. I am a physics major so I know what goes on there, but how is math modeling different?
Is it about modelling with math or models in math?
 
For mathematical modeling, you may be asked to model a control system for how the body (healthy or diabetic) regulates blood sugar. An interesting problem but it has little to do with physics. You might be asked to model interactions between various populations with different culture and characteristics competing in a given area. Another interesting problem but it has little to do with physics.

Get the point. There are many applications of mathematics that do not involve physics.
 
Obviously. Was just wondering what type a math modeling course covered. You answered and added an extra "Get the point" which is pathetic. But thank you for the first part.
 
Vitani11 said:
Was just wondering what type a math modeling course covered.
I remember a post in which a member asked, whether there is a sort of a lexicon where all differential equations used in the various realms were listed. I named a few which came to my mind, many within but even more apart from physics, and soon realized, that such a book would be of multiple volumes.
 
Course on Mathematical Modeling? Course just dedicated to how to decide on and make a Mathematical Model?

You have some two-dimensional data points of temperature haze point and concentrations of alcohol corresponding to each. Maybe plotting these points will give a pretty graph. Once the graph is made, the points appear to suggest maybe a degree-two polynomial function. Maybe you would like to find a good approximation for this function.
 
Sorry about the "get the point". Reading the post again, I see how I was harsh. I did not mean for it to be interpreted that way. I will be more careful in the future. I apologize.
 
You want to know what a Mathematical Modeling course covers?
Well, here's a sample syllabus for an equivalent course offered at Illinois Tech: https://science.iit.edu/sites/science/files/elements/am/courses/syllabus_math_486_sp12.pdf
 
The course in the link sounds interesting. It was given in 2009,, a long time ago
 

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