Split (1)

train · 116k rows

role stringclasses 2 values	content stringlengths 0 2.1k	session_id int64 10 21.7k	sequence_id int64 0 2.38k	annotations listlengths 0 8
volunteer	But you do have to do more um	15,082	524	[]
volunteer	computations	15,082	525	[]
student	right	15,082	526	[]
volunteer	You know, I'm trying to think of	15,082	527	[]
volunteer	what would you say, knowing what you know now, what would you say	15,082	528	[]
volunteer	is the difference or hm how do I say this?	15,082	529	[]
volunteer	or how do I ask this	15,082	530	[]
volunteer	No, I guess, I just be kind of, what kind of summary would you say between these two methods? Like what's the purpose of substitution method.	15,082	531	[]
volunteer	Um, what's the purpose of	15,082	532	[]
volunteer	the partial fraction decomposition.	15,082	533	[]
volunteer	you know, why are um	15,082	534	[]
volunteer	why do we need them	15,082	535	[]
volunteer	What's the	15,082	536	[]
volunteer	the purpose of the methodology.	15,082	537	[]
volunteer	I know it's kind of a loaded question.	15,082	538	[]
volunteer	but I just kind of want you thinking like	15,082	539	[]
volunteer	you know, what's, you know, why are we even bothering?	15,082	540	[]
student	for every method we discussed	15,082	541	[]
volunteer	And why are we using these methods versus some other	15,082	542	[]
volunteer	imaginary method that we haven't thought of.	15,082	543	[]
volunteer	Maybe not for every method we discuss, just kind of in general.	15,082	544	[]
volunteer	I just wanted to kind of have you conceptualize and crystallize	15,082	545	[]
volunteer	your thought processes regarding these um	15,082	546	[]
volunteer	methodologies	15,082	547	[]
volunteer	so that you know kind of like, not only when to use them, but why.	15,082	548	[]
volunteer	and which method	15,082	549	[]
volunteer	you know, over another, cause you may have	15,082	550	[]
volunteer	problems that um	15,082	551	[]
volunteer	kind of overlap	15,082	552	[]
volunteer	and you can use one over the other.	15,082	553	[]
volunteer	And it, it might come down to preference, but you could also have um	15,082	554	[]
volunteer	you know, you want the solution of a certain form.	15,082	555	[]
volunteer	So you would use one over the other and just kind of like when, like why and when would you do that?	15,082	556	[]
volunteer	I know this is a, this is a lot to ask. Um, if you don't feel comfortable answering, just, just kind of be like uh.	15,082	557	[]
volunteer	and just say, you know, because they tell me to, but I just wanted you to um	15,082	558	[]
volunteer	kind of think critically	15,082	559	[]
volunteer	about these methods	15,082	560	[]
volunteer	and, you know, the rationale behind them.	15,082	561	[]
student	okay, lemme think	15,082	562	[]
volunteer	Of course, take all the time you need	15,082	563	[]
student	it depends upon the question. there can be multiple way to solve a prob, i'll go for the shorter one	15,082	564	[]
volunteer	True.	15,082	565	[]
volunteer	It's very pragmatic	15,082	566	[]
student	yeah, i need a quick way for exam.	15,082	567	[]
volunteer	True	15,082	568	[]
volunteer	Right, for your needs, yeah.	15,082	569	[]
volunteer	OK. Well, we got that out the way.	15,082	570	[]
volunteer	So we can move on to	15,082	571	[]
volunteer	for example 12	15,082	572	[]
volunteer	Unless you have more to say	15,082	573	[]
student	that was it? i thought it was like a conceptual like "why would you" question	15,082	574	[]
volunteer	I mean	15,082	575	[]
volunteer	it was	15,082	576	[]
volunteer	but then I realized that you're um	15,082	577	[]
volunteer	you're more only doing this because you have to.	15,082	578	[]
volunteer	Um	15,082	579	[]
volunteer	but it was like	15,082	580	[]
volunteer	I was thinking more along the lines of like	15,082	581	[]
volunteer	substitution method.	15,082	582	[]
volunteer	is	15,082	583	[]
volunteer	a way of	15,082	584	[]
volunteer	defining what we don't know.	15,082	585	[]
volunteer	right	15,082	586	[]
volunteer	Where	15,082	587	[]
volunteer	if we see something, if we can redefine it.	15,082	588	[]
volunteer	right, the in a grant, the, the integral, if we can re redefine it as something we know.	15,082	589	[]
volunteer	or an expression we know, then this allows us to	15,082	590	[]
volunteer	work with, work with it	15,082	591	[]
volunteer	because we, we've turned, we've turned unknowns into knowns.	15,082	592	[]
volunteer	right? And it's essentially like	15,082	593	[]
volunteer	dissecting it, dissecting the problem by looking at it, by kind of forcing it through a different lens.	15,082	594	[]
volunteer	and this allows us to work with it.	15,082	595	[]
volunteer	um,	15,082	596	[]
volunteer	where previously it was unworkable.	15,082	597	[]
volunteer	right? But the reason why we're using substitution method is because the, we can't integrate normally.	15,082	598	[]
volunteer	We take in something that's kind of unworkable, and we've turned it into something	15,082	599	[]
volunteer	um	15,082	600	[]
volunteer	just by looking at it differently.	15,082	601	[]
volunteer	rewriting the expression, right, the expression itself hasn't the problem itself hasn't changed. All we're doing is changing how we're looking at it.	15,082	602	[]
volunteer	right? We're redefining the problem.	15,082	603	[]
volunteer	and working it and working it that way.	15,082	604	[]
volunteer	versus um	15,082	605	[]
volunteer	you know, partial fracture decomposition.	15,082	606	[]
volunteer	where	15,082	607	[]
volunteer	you have this expression that you know all about	15,082	608	[]
volunteer	um	15,082	609	[]
volunteer	thanks to all the work we did and uh pre-calc, you know, that there's asintose, there's this, there's that.	15,082	610	[]
volunteer	Um	15,082	611	[]
volunteer	but then, you know, how does that relate to integration, it's like how do you find	15,082	612	[]
volunteer	Now, what does the area under the curve mean and all that. Um, we'll say, well, we can	15,082	613	[]
volunteer	redefine this	15,082	614	[]
volunteer	If we can divide it all out.	15,082	615	[]
volunteer	right? We've taken this	15,082	616	[]
volunteer	proper function. We've taken this function and turned it into like a	15,082	617	[]
volunteer	a proper function	15,082	618	[]
volunteer	right, which seems kind of silly that we, we've done all this in like algebra.	15,082	619	[]
volunteer	and done this sort of	15,082	620	[]
volunteer	silly methodology	15,082	621	[]
volunteer	and we get something that's actually workable.	15,082	622	[]
volunteer	Um, surprisingly, almost.	15,082	623	[]

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