Math, engineering and physical science majors, how hard is differential equations?

blackzeus

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About to take this course in the fall in a hybrid Linear Algebra+Differential Equations course.

Did well and understood Calc I and II almost no problem but had some trouble with those surface and vector field integrals at the end of Calc III, but not so much the multi-integrals. We spent ~1 week total on that stuff in the end, no excuse but we breezed by the flux integrals sections.

What do I got to look forward to with the course I'm about to take brehs? What's gotta be sharp?

If you did ok in Calc 3 you should be ok with Diff Eq. I was an CompE major, so we did a lot in regards to sine and cosine functions and filters in regards to analog/digital signal processing (butterworth filters, hi/lo pass filters, etc). You use the chain formula A LOT if I recall, but more than anything, requires a physical understanding of what happens when you do an integration/derivation. You need to have a solid understanding of the calculus theorems as well (i.e. derivate of the integral is the function, etc) You have to do a lot of double derivatives/integrals as well. Good luck homey, but I think you'll be good, don't let all those nonlinear equations bother you, it's not as complicated as it looks. Teachers like to make things harder than they actually are to increase their self-worth.
 

Silver Surfer

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If you study and practice what you study...should not be that hard..I never took it....but I will say this...when it came to Discreet math...half of the people in the major took it more that once....and alot switched majors because of it :laff:
 

Bomberman

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Good lookin out everyone pos. rep all around. Just got a little shook after those div, grad, curl integral problems. Which is stupid since I really well in Electromagnetics when it cames to gauss', Ampere's, and Faraday's Law as well as all the other vector calculus applications, but those math surfaces were something else.
 

Gallo

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About to take this course in the fall in a hybrid Linear Algebra+Differential Equations course.

Did well and understood Calc I and II almost no problem but had some trouble with those surface and vector field integrals at the end of Calc III, but not so much the multi-integrals. We spent ~1 week total on that stuff in the end, no excuse but we breezed by the flux integrals sections.

What do I got to look forward to with the course I'm about to take brehs? What's gotta be sharp?

It's hard to be specific because each university will do things slightly different, perhaps even in different orders. If you've already done the "maths for engineers" stuff like surface integrals and whatnot (I don't mean that in a nasty way, it's just those things have massive application in real world problems) then something which melds linear algebra and differential equations is going to involve lots of matrices and vectors. For example, the solve a pair of 1st order coupled ODEs you would write them as a matrix system and then solve by finding the eigenvalues and eigenvectors of the system.

Being comfortable using rotation matrices, diagonalising matrices, dot products, all of these things can be used with vector calculus to describe spinning, oscillating, etc systems which involve differential equations.
 

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I'd have to agree with the consensus, Diff Eq isn't as difficult as Calc 2 (which i had to take twice, :noah: ) But Diff Eq, i actually got an A.
 

Habit

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If you did ok in Calc 3 you should be ok with Diff Eq. I was an CompE major, so we did a lot in regards to sine and cosine functions and filters in regards to analog/digital signal processing (butterworth filters, hi/lo pass filters, etc). You use the chain formula A LOT if I recall, but more than anything, requires a physical understanding of what happens when you do an integration/derivation. You need to have a solid understanding of the calculus theorems as well (i.e. derivate of the integral is the function, etc) You have to do a lot of double derivatives/integrals as well. Good luck homey, but I think you'll be good, don't let all those nonlinear equations bother you, it's not as complicated as it looks. Teachers like to make things harder than they actually are to increase their self-worth.

Doing Calc 3 & Physics w/Calc 2 in the fall, and I'm gonna be glad to be done with all these general science and math courses. Differential Equations will be my last general study course before I go to my junior year for Civil Engineering. Two things I hate the most are trig functions and logarithms, I hate differentiating and integrating these fukkers. I'll be happy when the day comes when I don't have to differentiate or integrate anything.
 
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