Applied Math Modeling: Syllabus and Topics for Physical Problems

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In summary, the class syllabus introduces fundamental principles and the application of mathematics in various fields, including physical sciences, biology, economics, and traffic dynamics. The course will cover mechanical vibrations for 1/3 of the class and population dynamics and traffic flow for 2/3 of the class. It is useful for physics majors and may involve programming in either c++ or matematica. The order of taking modeling or complex analysis is not specified. The course may also be helpful for solving physics problems and may be required for homework in physics classes, but there are no courses specifically focused on computational physics.
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proton
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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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  • #2
Can you already write a program [from scratch] to help solve a [for starters, possibly simple] physics problem?
 
  • #3
if its a very simple problem, then yes.
 
  • #4
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.
 
  • #5
none of the physics classes I'll take are computational physics. They might require matematica for homework problems though.
 

1. What is the purpose of studying applied math modeling?

Applied math modeling is the process of using mathematical concepts and techniques to solve real-world problems. The purpose of studying this field is to develop the skills and knowledge needed to analyze and understand complex physical problems and find solutions that are both mathematically accurate and applicable to real-life situations.

2. What topics are typically covered in a syllabus for applied math modeling?

A syllabus for applied math modeling usually includes topics such as differential equations, linear and nonlinear systems, optimization, probability and statistics, and numerical methods. It may also cover specific physical problems in areas such as physics, engineering, biology, or economics.

3. How is applied math modeling different from pure mathematics?

Pure mathematics focuses on abstract concepts and theoretical principles, while applied math modeling uses these concepts to solve concrete real-world problems. Applied math modeling also often involves interdisciplinary collaboration with experts in other fields, such as physics or biology.

4. What skills are necessary to succeed in applied math modeling?

To succeed in applied math modeling, one must have a strong foundation in mathematics, including calculus, linear algebra, and differential equations. It is also important to have critical thinking and problem-solving skills, as well as the ability to communicate complex mathematical concepts effectively.

5. What types of physical problems can be solved using applied math modeling?

Applied math modeling can be used to solve a wide range of physical problems, including those related to mechanics, heat transfer, fluid dynamics, electromagnetism, and quantum mechanics. It can also be applied to problems in economics, biology, and other fields that involve complex systems and data analysis.

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