Who do you think is more useful: a 24 year old that knows the latest software and just graduated, or the 40-50ish person who has been doing engineering for years?
Thanks for the input - I'll come back to apply and try to understand what you just said after finishing this section on Taylor Series. Maybe then I will better comprehend the concept.
Both series are just 1 divided by a gigantic number... 1/n somehow does not converge, yet 1/n^2 does...
I know that you just integrate 1/n to get ln(n) which goes to infinity, but that does not really say anything beyond just "the formula says so, so it does"...
The real question is why...
Homework Statement
The harmonic series diverges, but the alternating harmonic series converges.
Homework Equations
\sum1/n = diverge
\sum1/n x (-1)^n = converge
The Attempt at a Solution
I don't understand... why would one converge and one diverge? They both go to zero... Does...
Wow... that actually sounds AWESOME. Don't you have like, 500000 other people trying to get a job in that field? I always thought about mech engr, but I don't want to have to compete with PhD's for 40k a year.
p.s. Hire me. I'm awesome at taking orders for Starbucks.
It is actually very interesting to hear how other people put a mathematical expression into words: it kind of forces you to define what it is you are talking about beyond just symbols and numbers.
On a side note, my professor had a wonderful time laughing when I said "you-ler" instead of...
How do Mathematicians pronounce the ellipsis? (...) for instance:
1 + 2 + 3 + ... + an
"One plus two plus three plus dot dot dot plus a sub n"?
I'm using a digital tape recorder to better understand text, and I don't want to pronounce this incorrectly.
Also: do mathematicians say...
Haha wow man, I never thought of that. They're like a doorway to the more complex functions. I also read that Newton used to use sequences and just integrate them at a point.
Thanks for the info
Concept question:
What are they used for? I understand functions used for position/time/velocity etc., but what are infinite series actually used for?
Are they just a sum of numbers with no application? I'd like to know what I'm devoting my brainpower to before I spend massive amounts of...
I can already tell from what you wrote that you are not happy with the way things currently are, but are you 100% sure that physics is what you want to do?
Before you take the plunge, become extremely specific on what it is you want to do as a job. It needs to be something you really enjoy...
Currently in 2nd year of college, and just now being exposed to calculus based physics: my intended major was computer science, but now I'm not sure.
Basically, I want to build stuff that makes people say "holy crap". The problem is that I'm not sure what would be best.
If I go mech engineer...
A 3.00-kg object undergoes an acceleration given by a = (2.00ˆi + 5.00ˆj)ms2. Find the
resultant force acting on it and the magnitude of the resultant force.
That's what I mean ><. The very first question given in a chapter introducing students to force implies that acceleration results in...