I have a question about university course offerings.
This semester I'm taking a course called "Introduction to Analysis," which uses Edward Gaughan's Introduction to Analysis, and is basically just a more rigorous/proof-based coverage of the topics we learned in the first two semesters of...
Thanks for the help, bpet. Fortunately, a little while after posting this, I came to see how I was looking at it wrong, and now everything is clear to me. :) Specifically, now I understand it's best to think of running infinitely many trials of an experiment as one big experiment in itself...
NOTE: This is a long post. If you want, you can skip ahead and start reading where I write "Things get really juicy".
The strong law of large numbers:
http://upload.wikimedia.org/math/1/4/6/14624d8f38c79d9fde049910b62d9d2c.png
The stuff in parentheses is an event. But what is the...
No, it definitely changes the answer.
The formula for the surface area of revolution is the integral of 2pif(x)sqrt[1+(dy/dx)^2]dx from x=a to x=b.
What I'm asking is why the sqrt[1+(dy/dx)^2]dx is there for surface area, but for volume it's just dx. It certainly affects the answer.
f(x) is a continuous function of x, whose domain is [a, b]. Revolve the graph around the x axis. In doing so you will create a solid.
Apparently, to find the volume of this solid, partition the solid into n cylinders along the x-axis from a to b, each partition of the x-axis containing some...
Okay.
Who exactly are you addressing here? Me? I'm not sure why you think I plan to transition myself "from algebra to analysis" in "three weeks" or teach myself calculus II.
Okay, I'll try to do so. :smile: Just curious, since I'm confused, what do you mean by him being your student...
I checked out PROMYS, and it looks like I wouldn't be able to do it since it overlaps with some dates on which I have to do stuff for Vanderbilt (the college that I'll be attending).
Yeah, I've thought about doing exactly that ... But at Vanderbilt (the school I'll be attending), I can major...
Okay guys, you're probably right; it'd probably be best to just take a nice, long break.
About algebra: As far as I know, I'm not really rusty in algebra at all (especially since I'm taking both calculus and physics and using plenty of it). Of course, I could be wrong about that. Can you give...
I'm about to graduate from high school, and in college I plan to be a math major (with another major in economics).
I was thinking that this summer I should do something to prepare a bit for that.
My senior year I have taken IB SL Calculus (roughly equivalent to AP Calculus AB), and I will...
For a math major who takes Calc I first semester of freshman year, what might his 4 year schedule look like (only with regard to math classes, not electives and stuff)? Obviously this varies a lot from person to person (and a bit from school to school), but in general, what's a normal...
I got that by taking the value of c1 at the vertex of the function when c2 = 0, and then subtracting c2, since as c2 increases, the best response for player 1 (that is, the maximizer of u1 as a function of c1) decreases by c2. I know my thinking must be off here, though. I’m trying to sort...
Scans of the previous pages from the textbook:
http://forums.civfanatics.com/uploads/20424/gt042_b.JPG
http://forums.civfanatics.com/uploads/20424/gt043_c.JPG
http://forums.civfanatics.com/uploads/20424/gt044_b.JPG
Note: At the bottom of this post is a scan of the problem from the textbook, and then in the next post are scans of previous pages from the textbook, but (unless you're familiar with game theory) you probably should read my own words before you read the textbook scans.
I have an equation:
u1 =...