What Math Courses Should an Aspiring Aerospace Engineer or Physicist Consider?

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SUMMARY

Aspiring aerospace engineers and physicists should consider taking advanced mathematics courses beyond their department requirements to enhance their understanding and skills. Recommended courses include linear algebra, differential equations, upper-level probability and statistics, numerical analysis, and mathematical modeling. For physics majors, particularly those interested in theoretical physics, courses in non-linear dynamics and numerical methods are essential for grasping complex concepts and computer simulations. Engaging with overlapping classes from both majors can provide a solid foundation before making a final decision on specialization.

PREREQUISITES
  • Linear Algebra
  • Differential Equations
  • Numerical Methods
  • Probability and Statistics
NEXT STEPS
  • Research advanced Differential Equations and Partial Differential Equations (PDE) courses.
  • Explore Non-linear Dynamics and its applications in physics.
  • Investigate Numerical Analysis techniques and their relevance in computer simulations.
  • Look into Mathematical Modeling and its importance in aerospace engineering and physics.
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This discussion is beneficial for aspiring aerospace engineers, physics students, and anyone interested in enhancing their mathematical skills for advanced studies in science and engineering.

osnarf
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I'm debating doing a double major in aerospace engineering and physics. What are some math courses that would be beneficial to each major (In case I chose to go with only one) that are not usually required by the department?
 
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osnarf said:
I'm debating doing a double major in aerospace engineering and physics. What are some math courses that would be beneficial to each major (In case I chose to go with only one) that are not usually required by the department?

In engineering, useful math that isn't always required includes linear algebra, more differential equations, upper level probability and/or statistics, numerical analysis, math modeling... I get the feeling that none of those would be first choice math electives for physics though.

In any case it also depends on what your goals are.
 
Well as far as physics goes I would be talking about theoretical not experimental. I really don't know about a specialization yet though. That's a little ways away though.
 
take as much diff eq and PDE as you can stomach, then take some more. Along these lines, I would also suggest taking linear and non-linear dynamical systems. I was amazed how much insight I gained from a single course in non-linear dynamics. Really helped me visualize what is going on behind the scenes and actually cleared up a lot of things I really didn't get from linear.

stat is good to have, but honestly, I am doing fine on just intro-stat. Everything else stat related that I've needed has been covered in other classes.

Some sort of numerical methods course would also be beneficial. Even as a pure physics major, you will not be able to avoid computer simulation, and at least understanding how discrete solvers work and their limitations is important for anyone seeking a degree in science.

Honestly, unless you are contemplating a grad level course in game-theory (even that may have applications), I don't believe there is a math class you can take that won't help you in some way. both fields are looking at the world through math-colored glasses and the better you are able to imagine the world in this fashion, the better off you are.

honestly, I would compare the required classes list between the two and take the overlapping classes as long as possible until you make a decision. If you wind up finding a math course that you want to take, but the credits won't count towards your degree, just ask the prof if you can sit in on the lecture. You still get the exposure to the material but you don't have the added homework load (and you don't have to pay for it).
 

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