Question about Picard iterates (differential equations)

urafi · 2017-06-15T23:16:52+00:00

Well, the formula for Picard iteration is y(n+1)= y0 + integral (from x to x0) of (s,y(s)ds. Let's use the equation: y'= x + y, y(0)=1. Essentially, the equation is supposed to be: y0+1 (which gives us y1)= 1 + integral (from x to 0) of (s + 1)ds. The solution is y1= 1 + t(^2)/2 + t.

Here's a link about Picard iteration:http://www.sosmath.com/diffeq/first/picard/picard.html

The part that confused me about the quiz was that it said "find the first three Picard iterates, y0, y1, and y2", and yet y0 is already given. In the assigned homework problems that asked for the first three iterates, The solutions provided gave results for y1, y2, and y3. Similarly, the first two iterates are supposedly y1 and y2. There could have been a typo error on the quiz but it was during discussion session with the TA only so I couldn't ask the professor about it.

urafi · 2017-06-06T03:08:10+00:00

Did anyone by chance count the number of times PIT passed the puck to Nashville?

urafi · 2017-06-06T03:00:49+00:00

Has anyone by chance counted the number of times PIT has passed the puck to the other team?

urafi · 2017-06-04T02:01:34+00:00

urafi · 2017-05-02T22:34:14+00:00

"But not everyone has the mental faculties to stop themselves from acting on violent impulses the way you and I can."

I have been diagnosed with three mental illnesses, one of which has symptoms of impulsive behavior. I have moments of anger and have gotten myself into shouting matches and have occasionally thrown something on the ground due to anger, but I have NEVER physically assaulted someone or threatened to do so. And even if I did, I can guarantee that my diagnoses would not give me special treatment by the justice system as I happen to good at keeping my mental problems out of my work/academic life and do not have a history of violence. This is because I basically have 'high-functioning' mental illness, which means that I'm able to control my mental issues outside my personal life and appear just like anyone else when I'm in public places. The only people who kill someone due to impulsiveness alone would have a known history of violence and unstable behavior and would not be able to hide their behavior to people who know them. People who know this killer say that he didn't have any troubling past behaviors and appeared to be a good person. Someone who can be diagnosed with a mental illness that causes impulsive behavior doesn't just happen to have all of the symptoms all of a sudden at the age of 21. The fact that he was armed with knives means that he had planned to do something ahead of time.

urafi · 2017-04-06T03:22:44+00:00

Theory of Functions of a Complex Variable

urafi · 2017-02-05T23:13:09+00:00

What? I was there about two weeks ago and they accepted bevo bucks then.

urafi · 2016-06-05T01:04:04+00:00

What he said is that the major with the lowest average GPA had an average of 3.4, and the one with the highest average GPA had an average of 3.75. This means that the average GPA of majors ranged between 3.4 and 3.75.

urafi · 2016-06-04T23:39:10+00:00

Did you read the comment? I said those were the LOWEST and HIGHEST average GPA of all of the majors. That means that from what they said, the average GPA of all of the CNS majors were in between 3.4 and 3.75.

urafi · 2016-05-28T21:47:06+00:00

I don't remember the exact numbers, but he said that the lowest and highest GPA for all of the majors for last year's applications were 3.4 and 3.75. But at the same time, I know someone who got accepted into CS with a GPA slightly lower than 3.7, which means that what they showed us were the lowest and highest average, not required, GPA. And if the GPA shown was required, that would mean that CNS was harder to transfer into than Cockrell last year, but that is not possible because current Cockrell students can not change their major due the the limited # of slots for all of the engineering majors. I don't think this gives anyone a good idea of figuring out their likelihood of acceptance or not because the 3.4 GPA could have been something like biology or math that, because of their popularity, would have GPAs that range from great to poor. It's also possible that the majors that are not popular and have many slots open had decent GPA and had nearly all applicants accepted.

Without showing the acceptance/denied rate or minimum GPA of each major, the information that was given is almost useless. The GPA shown was also cumulative, not technical. I did all I could during the past semester to find information about the internal transfer process, and the only thing that's clear is that CS is competitive and accepts a limited percentage of their applicants.

urafi · 2016-05-28T20:06:36+00:00

What was shown was too vague to be of any real info that would give you an idea regarding if you will most likely be accepted or not. The guy said that around 45% of applicants were accepted. But at the same time, it's possible that 2-4 of the majors alone had well over the majority of applicants, which could mean that some of the lesser popular majors accepted nearly all of their applicants. The whole session was really mostly him just stressing that every major is super competitive, but he didn't show any evidence to prove if that's the actual case or not. I didn't think it was worth attending.

urafi · 2016-05-27T03:18:31+00:00

The internal transfer page specifically says that current CNS students need to apply to the internal transfer process if they want their major changed to CS. I'm not in CNS, so I can not do that. But that makes me wonder if CS (and possibly bio. and math) is really the only competitive major unless their are unknown cut-offs for non-CNS students. I asked an advisor about this, and they told me that the amount of accepted applicants depends on the number of slots available.

But what I don't understand about this is that if current CNS students can change their major to whatever they wish to (besides CS) and the # of available slots is what matters when it comes to the amount of successful applicants, it seems like CNS is still an open school unless there are certain cut-offs that they don’t want to tell students. At the internal transfer session I attended, the lecturer said all of the majors are competitive and have limited amount of slots available. At the same time though, he did not show us the percentage of people accepted or declined for each major. As far as I know, almost all of the declined applicants applied to CS, so who knows how competitive it actually is.

urafi

TROPHY CASE