Calculus are for engineering(especially physics related) students. I thought a Math/CS majors like me would never use calculus after the completion of the calculus sequence. I don't intend to learn calculus to the point that I can do integrals like my second nature.
Then today I was doing AMS 311's HW 5. It requires immense calculus power. I wasn't aware of how much calculus was required for this course. Now it replaced CSE 541 as the hardest course ever.(CSE 541's midterm is pretty ez, in fact, I feel CSE 541 is really really ez now... as long as I understand the tower of definition and really long proofs)
I should have seen it coming, it's a AMS classes that have to work with continuous functions. AMS don't use analysis to prove thing, they calculate stuff. Calculus is RIGHT THERE.
This is not the first time I noticed how I suck at calculus.
I never got calculus. so what if I got 9 in math placement because of the AP test. If I go and take a MAT 131 final right now I would surely fail.
This lack of calculus skill have struck me at least 3 times since I'm in the university.
1. While doing MAT 305, I found it's impossible to do some integrals without a table of integral around me. I also have to look up integration by parts.
2. People around me who are in calc 1 or calc 2 would ask me calc problems. and I can't answer them without help of mathematica. In fact, why ask me when one can use Wolfram Alpha? I can't provide any more insight than rephrase the question in a way a computer would understand.
3. During Putnam, I skipped any problem has differentiation or integration.
I remember I was having breakfast last semester, and someone gave me this simple limit problem, and I can't solve it even when I have finished breakfast. What a disappointment, people believed I can do MAT 131 level problems because I was in more advanced math courses. No, I just do different kind of math.
I'm sure I can improve my calculus problem solving technique to among the best by finish Demidovich's book of around 5000 calculus problems. I see no point in that though, since AMS 311 might be the last time I will ever really do calculus.
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