$50USD is about $75CAD. (Actually, since the lonnie's been dropping, more now). Even your low rate of $40USD is equivalent to about $60CAD, meaning that your high speed access costs about 15-50% more than ours.
Also, a series may converge only in a specific range (like the binomial series converges only between -1 and 1).
There are some test you can use to find out if a series converges or diverges:
1. the integral test
2. the comparison test
3. the nth term test
4. the ratio test
Also, about power series, they're fun because:
1. they can be added term by term
2. multiplied term by term by a constant or by a fixed power of (x-c)
3. differentiated term by term
4. integrated term by term
And if a power series converges, you can play funky games with it. Look up those tests mentioned above, and use them!
We run automated test cases for a portion of your marks on your assignments. That means if it doesn't compile on our compilers (which is the same compiler available to the undergraduate students on Solaris), you get no marks. No exceptions. We make this clear on the first day of class. So if you want to code in Windoze, fine, but it must compile, and the student is responsible for testing it.
Sure, we may be lazy. I only want to have to write one set of test cases. But also note that as a TA, I only had an iMac and an x-term at my disposal. I didn't even HAVE a Windoze account at school, and like hell I was going to purchase and install a Windoze compiler for my home machine. You think there's a budget for that (esp. at Canadian universities?)
So sometimes we make rules for a reason. It has to do with resource restrictions. I get paid for a fixed number of hours and my time and computer resources are limitied. I think it is a small price for students to pay to learn to develop in a new environment. After all, they are there to learn, right?;)
I worked at a small company that decided to buy up a whole whack of office space, but didn't hire people to fill it. There were three rooms, and for security reasons they wanted at least one person in the back. I was the only person that sat there. I was surrounded by about 25 empty cubicles, in a room that couldn't have been more than 15 degrees celsius (don't know what that is in American). I got really freaked out, especially with security cameras around. On the plus side, I goofed off tons and nobody ever noticed:)
That was the most person-unfriendly place I ever worked. I would rather have been in the office where there were seven of us and only six computers and we were hot desked (I was part-time and could use computers elsewhere on campus if need be). At least I talked to other people, and didn't feel quite so alienated from the rest of the company.
About six years ago, I listened to a talk from a CSIS agent. The talk went something like this:
Agent: "Hello, my name is Jorgen Krueger, and I am from CSIS" Audience member: "Jorgen Krueger... is that your real name?" Agent: "I can't answer that"
And so the talk went. This was at the time when there was a big scandal in Canada about the Heritage Front (a white supremacist group) having unsavoury ties with CSIS. Needless to say, we didn't get any productive answers about that, either.
Get real. In Toronto, this is not the case. Mass transit practically pays for itself, when each trip is 85% paid for by the rate-payer and 15% paid for by the government. (and still a one-way fare is only $2.00 Canadian, which is cheaper than the subsidized $1.50 US NYC fare)
Consider that your gasoline taxes should be paying for all of the things that your car requires, and don't forget roads and maintenance, pollution clean-up, etc.
The fact of the matter is that the taxes you pay for gasoline (and on the car itself, insurance, licensing, etc.) do not even come close to paying for the resources used. In Toronto, public transit does.
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$50USD is about $75CAD. (Actually, since the lonnie's been dropping, more now). Even your low rate of $40USD is equivalent to about $60CAD, meaning that your high speed access costs about 15-50% more than ours.
Also, a series may converge only in a specific range (like the binomial series converges only between -1 and 1). There are some test you can use to find out if a series converges or diverges: 1. the integral test 2. the comparison test 3. the nth term test 4. the ratio test Also, about power series, they're fun because: 1. they can be added term by term 2. multiplied term by term by a constant or by a fixed power of (x-c) 3. differentiated term by term 4. integrated term by term And if a power series converges, you can play funky games with it. Look up those tests mentioned above, and use them!
From another former TA:
We run automated test cases for a portion of your marks on your assignments. That means if it doesn't compile on our compilers (which is the same compiler available to the undergraduate students on Solaris), you get no marks. No exceptions. We make this clear on the first day of class. So if you want to code in Windoze, fine, but it must compile, and the student is responsible for testing it.
Sure, we may be lazy. I only want to have to write one set of test cases. But also note that as a TA, I only had an iMac and an x-term at my disposal. I didn't even HAVE a Windoze account at school, and like hell I was going to purchase and install a Windoze compiler for my home machine. You think there's a budget for that (esp. at Canadian universities?)
So sometimes we make rules for a reason. It has to do with resource restrictions. I get paid for a fixed number of hours and my time and computer resources are limitied. I think it is a small price for students to pay to learn to develop in a new environment. After all, they are there to learn, right? ;)
I worked at a small company that decided to buy up a whole whack of office space, but didn't hire people to fill it. There were three rooms, and for security reasons they wanted at least one person in the back. I was the only person that sat there. I was surrounded by about 25 empty cubicles, in a room that couldn't have been more than 15 degrees celsius (don't know what that is in American). I got really freaked out, especially with security cameras around. On the plus side, I goofed off tons and nobody ever noticed :)
That was the most person-unfriendly place I ever worked. I would rather have been in the office where there were seven of us and only six computers and we were hot desked (I was part-time and could use computers elsewhere on campus if need be). At least I talked to other people, and didn't feel quite so alienated from the rest of the company.
About six years ago, I listened to a talk from a CSIS agent. The talk went something like this:
Agent: "Hello, my name is Jorgen Krueger, and I am from CSIS" ... is that your real name?"
Audience member: "Jorgen Krueger
Agent: "I can't answer that"
And so the talk went. This was at the time when there was a big scandal in Canada about the Heritage Front (a white supremacist group) having unsavoury ties with CSIS. Needless to say, we didn't get any productive answers about that, either.
Get real. In Toronto, this is not the case. Mass transit practically pays for itself, when each trip is 85% paid for by the rate-payer and 15% paid for by the government. (and still a one-way fare is only $2.00 Canadian, which is cheaper than the subsidized $1.50 US NYC fare)
Consider that your gasoline taxes should be paying for all of the things that your car requires, and don't forget roads and maintenance, pollution clean-up, etc.
The fact of the matter is that the taxes you pay for gasoline (and on the car itself, insurance, licensing, etc.) do not even come close to paying for the resources used. In Toronto, public transit does.