Switching from engineering to mathematics

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A user is transitioning from aerospace engineering to mathematics, seeking advice on this shift. The motivation stems from a desire for a deeper understanding of math, which they feel is lacking in their current aerospace program. They aim to strengthen their math foundation to prepare for graduate studies and R&D roles, emphasizing a preference for theoretical knowledge over mere technical skills. Concerns include poor algebra skills and reliance on calculators, leading to a desire for improvement. The user plans to pursue an applied math track, integrating upper-level aerospace courses, and reflects on their previous experience with abstract math, finding it less applicable to engineering. Suggestions from others highlight the importance of focusing on practical math applications, recommending courses that emphasize numerical solutions and relevant mathematical concepts.
Abraham
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I'm switching from aerospace engineering to mathematics.

I'll take any and all advice / suggestions / comments you might have

Here are my reasons:
1.) I feel as if the aero program gives only the bare minimum math
required to get through. I want to go on to grad school in Aero E, and
eventually work in R & D, which I think requires lots of deep math
2.) I feel as if my math ability has weakened considerably
2.) A double major / minor is not possible (scheduling issues)
3.) I would rather have a solid foundation in math/ theory, and find its applications, as
opposed to technical knowledge and knowing only the necessary maths

Here are my concerns:
1.) My algebra is terrible. I'm embarrassed to admit I let my TI-89 manipulate variables / equations, factor terms, etc. I'm sure I could do it by hand, but its definitely not like second nature.

I like math a lot, although I'm not the best at it. I imagine myself being better one day.

I want to know what you think about this. Any math people have advice/ comments? Engineers?

Thanks, I really appreciate itForgot to mention, I'm not in pure math. I'll be doing an applied math track, with math + upper aero courses,
like aerodynamics, gas dynamics, controls, flight dynamics
 
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I'm currently an engineering physics major and I initially started off as math and physics double major with the intention of going into physics or engineering.

I dropped the math major after I found out that a lot of the material covered in my mathematics classes was very abstract and not very applicable to engineering or physics in any regular capacity. That's not to say that it's not useful just that some of it is a waste of time.

I feel like you could easily prepare yourself mathematically by taking maybe abstract algebra and a mathematical physics/engineering class or two. Most of the real work is in numerical solutions anyways which a mathematical physics/engineering class would teach you how to do.
 
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