Applied Math Modeling: Syllabus and Topics for Physical Problems

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The course syllabus introduces fundamental principles of applied mathematics, focusing on constructing mathematical models for various physical problems, with applications in physical sciences, biology, economics, and traffic dynamics. One-third of the course will cover mechanical vibrations, while two-thirds will emphasize population dynamics and traffic flow. The discussion raises questions about the course's relevance for physics majors, particularly regarding the programming component, which may involve C++ or Mathematica. It also addresses whether to take modeling or complex analysis first, considering that modeling is available in the fall before upper-division physics courses in winter. The ability to write simple programs for physics problems is discussed, along with the lack of computational physics courses in the physics curriculum, suggesting that this mathematical modeling course could be beneficial for those without prior computational experience.
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heres the class syllabus:
Introduction to fundamental principles and spirit of applied mathematics. Emphasis on manner in which mathematical models are constructed for physical problems. Illustrations from many fields of endeavor, such as physical sciences, biology, economics, and traffic dynamics.

So the 1/3 of the course will focus on mechanical vibrations, and the other 2/3 will focus on population dynamics and traffic flow

Is this course useful for physics majors? I think this class will use some programming, either c++ or matematica. Which is better to take first: modeling or complex analysis? I'll be taking my upper-div physics in the winter and modeling is offered in the fall
 
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Can you already write a program [from scratch] to help solve a [for starters, possibly simple] physics problem?
 
if its a very simple problem, then yes.
 
Will you be taking any courses in computational physics in your program of study? or courses with a computational component? If not, then this mathematical modeling course you describe might be useful.
 
none of the physics classes I'll take are computational physics. They might require matematica for homework problems though.
 
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