Programs Which engineering/science uses this the most?

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The discussion centers on a mechanical engineering student struggling to choose a major, expressing a preference for fields that involve extensive mathematical problem-solving, particularly with equations and differential equations. The student finds statics and mechanics of materials repetitive and less engaging due to their limited mathematical complexity. Suggestions include exploring chemical engineering, which involves significant calculus and differential equations, especially in areas like transport phenomena and reactor design. Electrical engineering and physics are also highlighted as disciplines that require strong mathematical skills, with electrical engineering offering interesting math in advanced courses. The student is considering these options but is concerned about job stability and financial security, particularly in physics, where postdoctoral research positions are common. There is a mention that mechanical engineering can also become more mathematically intensive with courses like dynamics.
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So I am currently a very indecisive mechanical engineering student, who can't figure out what to major in. I have found out that I am much more interested in solving problems that deal with a lot of equations, substitution, and differential equations than I am solving statics problems.

I like classes like statics and mechanics of materials, don't get me wrong, it just gets boring after a while; I feel like I'm solving the same problem over and over again using barely any math.

So pretty much, my question is: which engineering/science solves problems that involve a lot of math, equations, calculus, etc.. An example of a problem like this, would be this basic kinematics problem:

Engineers analyzing the motion of a linkage determine that the velocity of an attachment point is given by v = A + 4s2 m/s, where A is a constant. When s = 2m, its acceleration is measured and determined to be 320 m/s2 . What is the velocity of the point when s = 2m?
 
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You should give chemical engineering a try. You will spend most of your junior year dealing with transport phenomena (momentum, heat, and mass transport), which are heavily based on calculus and differential equations. Then there's reactor design, which also relies on DE. You will also encounter some differential equations while designing continuous contact equipment for unit operations. Check out the textbook Transport Phenomena by BSL, to get a glimpse of the math you would be dealing with as a ChemE major.

Good luck!
 
There is more good math needed in electrical engineering or physics.
 
MexChemE said:
You should give chemical engineering a try. You will spend most of your junior year dealing with transport phenomena (momentum, heat, and mass transport), which are heavily based on calculus and differential equations. Then there's reactor design, which also relies on DE. You will also encounter some differential equations while designing continuous contact equipment for unit operations. Check out the textbook Transport Phenomena by BSL, to get a glimpse of the math you would be dealing with as a ChemE major.

Good luck!
I was actually thinking about doing ChemE a while back. I'm really not sure if I'm interested in the kind of stuff you would be working on as a ChemE though. I did check out that text and it looks interesting. Thank you though!

There is more good math needed in electrical engineering or physics.

I was actually considering electrical engineering, and I think physics is what I really want to do, but I really don't want to ever have to worry too much about money if I don't have to. It seems that everything I want to study in physics leads to me being stuck in a post doc research position.
 
There is a lot of interesting math in Electrical Engineering, especially as you get into upper division courses.

I also believe that Mechanical Engineering becomes much more mathematical when you take classes like dynamics.
 
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