Which is the most (and least) math heavy of the engineering fields?

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The discussion centers on the math intensity of various engineering fields, with participants sharing their insights and experiences. Electrical engineering (EE) is commonly regarded as the most math-heavy discipline, primarily due to its reliance on differential equations for circuit analysis and electromagnetism. Mechanical engineering follows closely, utilizing dynamics extensively. Some participants suggest that engineering physics may require even more math, while chemical engineering is perceived as less math-intensive. Software engineering's math requirements vary, with some engineers experiencing significant mathematical challenges, particularly in combinatorics.Industrial engineering is often viewed as the least math-intensive, with some participants humorously suggesting that it involves minimal mathematical rigor. The conversation also touches on the nature of engineering math courses, which are described as pragmatic and often lacking in theoretical depth. There is a debate about the role of systems engineering, with differing definitions complicating its classification in terms of math intensity.
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Which is the most (and least) math heavy of the engineering fields? And why?

Just wondering. Thanks.
 
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Software is the least intensive, I think. And its the most profitable, too. (Unless you consider the concepts of data structures and algorithm development "math")
 
which is the most math intensive? Electrical?
 
Electrical engineering is the most math heavy of the engineering disciplines. You rely heavily on differential equations when dealing with advanced circuit analysis and electromagnetism is basically a physics and math course. In a close second is mechanical engineering, which uses dynamics a lot. Chemical engineering is in last probably. Differential equations are used a lot, but that is true of all the engineering disciplines. Industrial engineering often has a lot of economics built in, which of course uses mathematics.

This is all very subjective though, but I think it is a good characterization.
 
Well, I know I'll probably step on a lot of toes by saying this, but a very wise and smart man, Mr. Albert Einstein, once said e=mc^2 and I believe that is true for the engineering courses namely that electrical=mechanical*(civil^2) especially when it comes to maths and physics in the courses :biggrin:

I study electrical and have a few friends in the other courses and can really confess to that :wink:
 
looking for the easy way out? Simple, just go over the the business school, get your degree there, math should not be much of a problem.
 
Integral said:
looking for the easy way out? Simple, just go over the the business school, get your degree there, math should not be much of a problem.

(Un)fortunately, I'm not looking for the easy way out.
 
Take this with a grain of salt since I'm not an engineer though I've known quite a few and taught their first year phys classes but...

I'd say engineering physics requires the most math, then electrical, then mechatronic, then mech, then chemical, then civil.

As for software it really depends. Every software engineer I've know has been really math heavy and took tons of combinatorics stuff. However, that very well may be the exception not the rule.

The one I wouldn't know how to place is systems. To the best of my knowledge NO ONE knows what system's engineers do, not even system's engineers.
 
I picked EE believing that it would be the most math heavy. I am not disappointed.
 
  • #10
I'm curious as to your motivation for asking the question. Are you hoping to learn a lot of math while taking engineering? Engineering math classes tend to be notoriously non-rigorous (and this is where the flames start) and almost entirely devoid of proofs or intuition. It tends to be "Here's WHAT you need to know, don't bother asking why", it's all very pragmatic. The only reason I mention this is because if you're hoping to use engineering math for mathematical exploits outside of engineering you'd probably be better off taking the math faculty's equivalent courses.
 
  • #11
(the least) Industrial engineering, furnature rearranger. And yes, these people exist. I'll have to find out what they are titled someday.
 
  • #12
maverick_starstrider said:
I'm curious as to your motivation for asking the question. Are you hoping to learn a lot of math while taking engineering? Engineering math classes tend to be notoriously non-rigorous (and this is where the flames start) and almost entirely devoid of proofs or intuition. It tends to be "Here's WHAT you need to know, don't bother asking why", it's all very pragmatic. The only reason I mention this is because if you're hoping to use engineering math for mathematical exploits outside of engineering you'd probably be better off taking the math faculty's equivalent courses.

I think some people prefer non-rigorous math. I love math but I cannot stand rigorous proofs and I rarely consider "why"s
 
  • #13
rootX said:
I think some people prefer non-rigorous math. I love math but I cannot stand rigorous proofs and I rarely consider "why"s

Well yes but I assume you're an engineer. Proofs and intuition is not a preference in theoretical physics and applied math (and most certainly pure math). It's a necessity. You simply can't be productive if you don't understand how these things were derived and what's going on 'under the hood' so to speak.
 
  • #14
RaStevey said:
Well, I know I'll probably step on a lot of toes by saying this, but a very wise and smart man, Mr. Albert Einstein, once said e=mc^2 and I believe that is true for the engineering courses namely that electrical=mechanical*(civil^2) especially when it comes to maths and physics in the courses :biggrin:

I study electrical and have a few friends in the other courses and can really confess to that :wink:

I may almost disagree with you there. The only thing (in terms of math) that separates EE and ME are perhaps 2 courses of math
 
  • #15
maverick_starstrider said:
The one I wouldn't know how to place is systems. To the best of my knowledge NO ONE knows what system's engineers do, not even system's engineers.

The term is used in two radically different ways.

Some in the industry use 'System Engineer' to refer to someone that knows process control, signal analysis, and a smattering of physics, chem, mechanics, and electronics. Those guys obviously need a lot of math. Schools may use different terms. They are really systems analysts/designers.

The other definition is a person that has a good knowledge of running a particular system as might a user. They might have a role in customer service or test.
 
  • #16
What about biological engineering?
 
  • #17
I recall my undergrad days in chemical engineering and this question coming up and the electrical engineers proclaiming their's was the most math intensive and I recall the mechanical engineers not putting up much of an argument...nor the rest of us. Of course this can vary from case to case, school to school I suppose. However my most recent forays into the realms of electrical engineering due to my career choice have led me to believe it might indeed be the case.
 
  • #18
Integral said:
looking for the easy way out? Simple, just go over the the business school, get your degree there, math should not be much of a problem.

And I just want to say; this is sound advice. First year calculus seemed to be the real tripping up course for these people supposedly on their way to make 6 figures one day. The intro stats course also gave them fits as well if I recall. Brutal mathematical component to the curriculum there I tell you.
 
  • #19
maverick_starstrider said:
I'm curious as to your motivation for asking the question. Are you hoping to learn a lot of math while taking engineering? Engineering math classes tend to be notoriously non-rigorous (and this is where the flames start) and almost entirely devoid of proofs or intuition. It tends to be "Here's WHAT you need to know, don't bother asking why", it's all very pragmatic. The only reason I mention this is because if you're hoping to use engineering math for mathematical exploits outside of engineering you'd probably be better off taking the math faculty's equivalent courses.

I just asked the question b/c I'm about to do a project comparing the different fields.
 
  • #20
I've never really heard of biological engineering but if it's just like biology I'd say by far the least. Your average bio student knows zero math (except a horribly inaccurate introduction to stats course)
 
  • #21
maverick_starstrider said:
I've never really heard of biological engineering but if it's just like biology I'd say by far the least. Your average bio student knows zero math (except a horribly inaccurate introduction to stats course)

It's not "just" biology. You've never heard of bioengineering, or biomedical engineering?
 
  • #22
I've heard of biomedical engineering (used to have a roommate who was one actually, he was doing some project with titanium pins in the knees or something) and I've heard of something being bioengineered but I've never heard of a major called biological engineering or bioengineering.
 
  • #23
maverick_starstrider said:
I've heard of biomedical engineering (used to have a roommate who was one actually, he was doing some project with titanium pins in the knees or something) and I've heard of something being bioengineered but I've never heard of a major called biological engineering or bioengineering.

Odd, these are only some of the many universities that have it:
http://bioeng.berkeley.edu/"
http://www.seas.harvard.edu/research/bioengineering.html"
 
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  • #24
You learn something new everyday.
 
  • #25
Choosing an engineering discipline with the most intensive math is like choosing an ocean with the wettest water. The complexity of mathematics involved varies by topic, not by field.

EE's always like boast that they have it the worst for reasons I never understood. I think its just because some of them like to whine a lot. The lucky SOBs at least get to deal with relatively linear systems.


Animastryfe said:
Odd, these are only some of the many universities that have it:
http://bioeng.berkeley.edu/"
http://www.seas.harvard.edu/research/bioengineering.html"

My university has it as well, I thought it was rather common.
 
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  • #26
I guess my research could be considered biological engineering in that we study enzymes from various organisms and exploit their pathways to produce target compounds. There's no math at all except basic statistics.
 
  • #27
Topher925 said:
Choosing an engineering discipline with the most intensive math is like choosing an ocean with the wettest water. The complexity of mathematics involved varies by topic, not by field.

EE's always like boast that they have it the worst for reasons I never understood. I think its just because some of them like to whine a lot. The lucky SOBs at least get to deal with relatively linear systems.




My university has it as well, I thought it was rather common.


Well I think the OP meant "How much math in a typical undergrad degree" as opposed to after university when you're practicing engineering. But maybe I misinterpreted
 
  • #28
Well, I know at my university all the engineering disciplines that they offer (elec, mech, civil) do first and second year calc and linear algebra from the maths department (not some watered down "for engineers only" version) and then the elec guys go on and do third year complex analysis and discrete algebra, also straight out of the maths department, while the mech and civil guys give that a skip...

As for physics, all the engineering disciplines take first year physics from the physics department (yet again not watered down) and then the elec guys go on to take second year physics (electromagnetism and advance mechanics) also from the physics department while the mech and civil guys give that a skip, yet again...

So draw your own conclusions...
 
  • #29
Animastryfe said:
Odd, these are only some of the many universities that have it:
http://bioeng.berkeley.edu/"
http://www.seas.harvard.edu/research/bioengineering.html"

Stanford has it too. It's called BioX.
 
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  • #30
While electrical engineers need to learn a fair bit of math (I am one), I suspect that aeronautical engineers, naval architects and similar disciplines with a lot of fluid flow emphasis would be mAth heavy as well although perhaps more narrowly focused that EE, where depending on the emphasis, one would have to learn everything from discrete mathematics to PDEs to transform techniques.
 

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