Congratulations. You were able to follow my directions that I posted about 3 hours ago.
@eLiu "B/c HS is irrelevant. And easy." Depends on your teachers. I have one of the smartest calculus classes I've ever had. They seemed to be feeling a little down the other day about how difficult calculus is. So, I told them that college calculus is at about this level (hand hand waist high), and the typical college student is this smart (hand held slightly below waist.) All of you are realize you're this smart (hand held at my head level), so I've raise the level of difficulty to this level (hand held a little above the previous level) because I realize you're smarter than you think.
I believe that if high school was "easy," then your teachers simply didn't try to challenge you enough. Oh, and to make them feel better, we googled for some sample calculus final exams. We ended up looking at a midterm from 2009 at a well known & respected university (selected by the class at random). After we skimmed through it, I heard a "that's it? Are you kidding me??!"
My point was more that if you do really well in high school, nobody cares once you get into college. And if you do really well in college, nobody cares once you get a job (counting grad school as a job, lol).
As for easy, at least at my HS, teachers in advanced classes taught to a level that was somewhere around their 'average student', if not a lower. In time in college/grad school, I've met some really, truly intelligent people. And I can tell you with certainty that nobody I went to school with (including me) really qualifies as being that smart. Considering that maybe 10-20 students (out of 600ish) went to "top" schools for math/science, the bar wasn't particularly high. So yeah, I agree. Definitely wasn't being challenged enough. That's the case for most people I know *shrug*. But college had plenty of "oh god kill me now" moments
Those of us who liked math did contests for added challenge/skipping class. We were lucky enough to have an extremely bright teacher who was interested & could help us. He was disorganized as hell & a master of procrastination, but he was awesome.
That said, college calculus isn't really hard either? I mean there are a handful of fundamental concepts that are very new when all you've seen before is "x+y=z" algebra. And for me, it was as jarring as moving from "1+2=3" to "x+y=z". But there isn't a ton of stuff there that I would count as hard? Certainly you can ask very difficult computation questions... but no one is throwing Putnam questions at intro-calc students, HS or college level, lol. Calc1 classes that are more real analysis than "integrate this" often do qualify as pretty tough, since rigorous mathematical proof is a big step forward. I never wrapped my head around that stuff fully...