how can I learn differential equation if I'm a brainlet?
How can I learn differential equation if I'm a brainlet?
Oliver Richardson
Charles Foster
Just read a book or something. Normal differential equations are brainlet tier shit.
Colton Watson
Simplify like this:
[eqn]\frac{\mathrm dy}{\mathrm dx}\,=\,\frac yx[/eqn]
Andrew Nelson
[math]\frac{f'}{f} = \frac{d}{dx}ln(f)[/math]
Memorize this and you can easily solve anything that matters.
Joseph Gomez
"Ordinary Differential Equations" by Tenenbaum & Pollard
"Partial Differential Equations for Scientists and Engineers" by Farlow
"Mathematics for Physicists" by Dennery & Krzywicki
Aaron Foster
Introductory ODE is The brainlet's class.
Just memorize/cheat. It's one of the few math subjects where you can do it.
Justin Johnson
I understand after I made this. I'm still a brainlet though.
import math
startValue = 5.0
value = startValue
k = 5.0
time = 1
frameRate = 10000000
for i in range(0, frameRate * time):
value *= 1 + (k / frameRate)
print value
print startValue * math.e**(k * time)
Why does a brainlet even need to know differential equations?
Chase Morgan
Even better, just memorize [math]\mathrm{d}\log x = \frac{\mathrm{d} x}{x}[/math]
Asher Smith
Why do universities offer a Differential Equations course and then an Ordinary Differential Equations course? Is there any advantage to taking one over the other? I thought regular differential equations were ordinary differential equations?
Is Khan Academy any good?
Brody Thompson
>differentials
brainlet
Angel Peterson
>Why do universities offer a Differential Equations course and then an Ordinary Differential Equations course? Is there any advantage to taking one over the other? I thought regular differential equations were ordinary differential equations?
It might be aimed at math majors rather than engineering or physics majors. Or it could be a second course.
Aiden Wood
>using R
Juan Watson
I think your first thought is probably more reasonable. What might the difference be between the two (eng/physics vs. math)? Simply more theory?
Do you know if there's any particularly strong advantage to taking one of the other for grad school? I'm a CS major but idk if it's worth taking ODE over normal DiffEq.
Samuel Perry
>not using R
Wyatt Sanders
Post the syllabi
Michael Taylor
Ok, this is for ODE: mathematics.pitt.edu
and this is for regular DiffEq: pitt.edu
Henry Sullivan
The diff eq class does some PDEs and ODEs less in depth. It teaches more of what a non-math major would need to know about Differential equations general, with more practical applications.
The ODE class only does ODEs and goes into the theory more. Intended for math majors who would study PDEs afterwards.
Aaron Sullivan
not really, a math major ODE class would do qualitative study of orbits, topological properties and poincare-bendixson
Ryan Jackson
Find me one syllabus for an undergraduate ODE class containing all three those topics.
Jace Baker
The one I took had those topics and much more. I'm not posting mine though, and I'm not going to indulge you by googling for another one when you could do it yourself.
Nicholas Sanchez
I'm a CS major planning to minor in math and stats. I want to eventually go to grad school for CS (somewhere related to robotics). Which one should I take?
Levi Bennett
Most Differential Equations classes are 1st order, 2nd order, nth order, systems of equations and 2 more topics (usually series solution, more involved numerical methods, Laplace methods, crash course in PDEs, intro chaos/nonlinear, or theoretical concerns).
ODE I covers intro Chaos/Nonlinear and Theory: Wronskians & Existence and Uniqueness
DE covers Laplace Transforms and baby's first PDEs aka Separation of Variables and Fourier Series (many schools do this to avoid a fifth course on pdes)
ODEs II is just nonlinear dynamics and chaos
PDEs (1470) does Laplace too and covers PDEs in much more depth
Angel Martinez
the one which uses the computer and numerical methods in matlab
Nathaniel Williams
d-do you go to Pitt as well? :3
Dylan Ramirez
Do ODEs