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

AI Thread Summary
Mathematical modeling courses focus on applying mathematical concepts to real-life situations, which can differ significantly from physics applications. These courses may involve modeling systems like blood sugar regulation in the body or analyzing population interactions, emphasizing that many mathematical applications extend beyond physics. The discussion highlights the diversity of mathematical modeling, suggesting that it encompasses various fields and problems. Participants also touched on the idea of creating a comprehensive lexicon of differential equations used across disciplines, indicating the complexity and breadth of mathematical applications. A sample syllabus from Illinois Tech was shared, providing insight into the course structure and content, although it is from 2009. Overall, the conversation underscores the multifaceted nature of mathematical modeling and its relevance across different domains.
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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