How much maths is involved outside of university?

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Discussion Overview

The discussion revolves around the role of mathematics in engineering outside of university settings. Participants explore the extent to which mathematical concepts are applied in various engineering fields, the relevance of higher-order mathematics, and personal experiences with math in relation to engineering practice.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants suggest that the amount of math used in engineering depends on the specific field and the type of math being discussed.
  • One participant, identifying as a mechanical engineer, notes that they primarily use basic math and algebra, with occasional use of higher math, but not to the extent of complex differential equations.
  • Another participant emphasizes the necessity of a fundamental understanding of trigonometry and geometry for engineers, regardless of their feelings towards math.
  • Concerns are raised about the relevance of higher-order mathematics in practical engineering, with some arguing that while it may not be used directly, it aids in understanding lower-order math and concepts.
  • Participants discuss the importance of approximations in industry, noting that while rigorous mathematical proofs may not be required, a solid mathematical foundation is still essential for justifying decisions.
  • One participant mentions that practical engineering often involves back-of-the-envelope calculations and memorized equations rather than complex computations.
  • There is a viewpoint that passing exams in higher-order math can make understanding simpler math easier and more intuitive in the long run.
  • Another participant highlights the value of Fourier analysis in engineering, suggesting that it provides a deeper understanding of system responses.
  • Concerns about the lack of statistical knowledge among engineers dealing with small sample sizes are also raised.

Areas of Agreement / Disagreement

Participants express a range of views on the necessity and application of mathematics in engineering, indicating that there is no consensus on the extent to which higher-order math is essential in practice. Some agree on the importance of foundational math skills, while others emphasize the practical use of approximations and basic calculations.

Contextual Notes

Participants express varying levels of comfort and proficiency with mathematics, indicating that personal experiences and field-specific requirements significantly influence their perspectives on the role of math in engineering.

DdotT
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i've heard from people: the real world is nothing like university, engineers don't really use much except for formulas and computers do most of it anyway.

How true is this?

I personally hate maths but i like engineering, trying to just get through it.

Also since i hate maths, is it even worth me continuing to try and be an engineer?
 
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1) Depends on the field.
2) Depends on the math you are talking about. I'm a mechE and I do math everyday. But it is mostly just basic maths, some algebra, etc. Sometimes I get to do higher math, but I'm never like defining B.C's for higher order diffEQ's.
3) When you say you hate math what do you mean? You hate math class, or you are not good at algebra/trig/geometry, etc? If you want to be an engineer you need a fundamental understanding of these subjects to be successful. An engineer who doesn't understand trigonometry and geometry isn't very useful.

If you are planning on EE, then you will need math. If you want to get into control, you will need math. It is true that computers will do the tough stuff, but you need to know the stuff. Don't quit. Brush up on math on your own time, on your own terms, on things that excite you.
 
engineering can not be defined without mathematics( specially the core branches). well i don't think that should be the reason. new ideas and concepts make engineering perfect.
i am a mech engg and i can say u ill like mathematics once u get into engg. and if not u ill never like engineering.
 
Travis_King said:
1) Depends on the field.
2) Depends on the math you are talking about. I'm a mechE and I do math everyday. But it is mostly just basic maths, some algebra, etc. Sometimes I get to do higher math, but I'm never like defining B.C's for higher order diffEQ's.
3) When you say you hate math what do you mean? You hate math class, or you are not good at algebra/trig/geometry, etc? If you want to be an engineer you need a fundamental understanding of these subjects to be successful. An engineer who doesn't understand trigonometry and geometry isn't very useful.

If you are planning on EE, then you will need math. If you want to get into control, you will need math. It is true that computers will do the tough stuff, but you need to know the stuff. Don't quit. Brush up on math on your own time, on your own terms, on things that excite you.

I am not great at maths, i usually take longer to see the link between two things as well as understanding it.
I don't like it because of this reason, if i was ok at it then i would be fine and be happy about it all.
When you say basic maths, does that mean, modelling a compression of a container and integrating some complicated sin^2x+e^3x^2 + cosxsecx sort of function (havent come across anything in fluid mechanics where this is the case with sec and cos and sin but it was just an example) , or simply getting equations and doing some simple algebra such as rearranging, etc etc.
 
DdotT said:
When you say basic maths, does that mean, modelling a compression of a container and integrating some complicated sin^2x+e^3x^2 + cosxsecx sort of function
Travis_King said:
1). I'm a mechE and I do math everyday. But it is mostly just basic maths, some algebra, etc. Sometimes I get to do higher math

?

University trains you to become a physicist which by definition is heavily theoretical. If you are in industry you will be dealing with real life problems, and you will be dealing with approximations almost exclusively. It doesn't mean that the mathematical concepts aren't important, as you need to be able to justify your approximations mathemetically, it juts means that the method is less rigorous. None of your supervisors will ever ask you for a mathematical proof of something, but they will ask you to justify what you've done and there will no doubt be mathematics at the foundation of your thought process.
 
dacruick: Exactly. You could sit there and model the turbulent flow and account for pipe erosion, flow eddies, contamination, and all sorts of little almost insignificant details and after 2 months of rigorous computing discover that the total head required for a pump in some system is 92.29456 ft. You'll just factor in contingency and call it 105+ anyway.

Your time as an engineer needs to be utilized efficiently. Higher order maths are more expensive for the little value they add.

Now, that is not to say that engineers don't work with software that can do stuff like modal analysis and other complex stuff, but as far as field math goes, its mostly back of the envelope and the rote memorized equations.
 
Being able to pass an exam in higher order maths will make lower order maths easy, intuitive and quick for the rest of your life. Even if you never use the higher order maths again.

Understanding a 2nd order differential system from the foundations will forever enable you to see one in action and probably know a guy (or girl) who can solve it for you (even of you can't).

It depends on your field, but the most valuable maths I did was Fourier analysis. Forever, I will have a gut feel for the frequency response of a system given its input and a feel for its inertia.

What I didn't learn from engineering maths was stats. Every engineer who deals with n < 10 should have a sound understanding of the basics.
 

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