AP Calc AB Discussion Thread

<p>worst class of the year for me. Got my first detention because I was found sleeping in his class. I hate how my school makes me take AB first before BC.</p>

<p>Anyways, where are you guys right now? We just finished differential equations and exponential growth, probably moving on to volume and stuff. My teacher said we'll be done with everything before spring break (end of March), after that it'll be just practicing for the real mccoy.</p>

<p>wow, you got detention for sleeping in class. In a bunch of my AP classes, sleeping was acceptable since the teachers understand or the teachers just wake up the students to keep them awake. </p>

<p>Not in AB, but AB class at my school is moving onto differential equations.</p>

<p>We’re doing volume. Pretty much done with that, I dunno what’s next.</p>

<p>Does the test cover any of the following topics: optimization, inverse function derivatives, inverse trig functions derivatives, hyperbolic trig?</p>

<p>My teacher, as awesome as he is, decided to skip those topics b/c he said they’re not part of the AB test.</p>

<p>Optimization is in the PR, so I’m guessing it’ll be on the AB exam, as well as inverse function and inverse trig derivatives. I don’t think hyperbolic trig is on it though.</p>

<p>Optimization, inverse function derivatives, and inverse trig derivatives are pretty prevalent topics in the curriculum. I’m not sure why your teacher would skip them. Hyperbolic trig functions are not covered.</p>

<p>We just finished first order differential equations and exponential growth and decay.</p>

<p>After we get back from back, we have to do slope fields, then we’re done.</p>

<p>we’re having our last test on volume this week! YES! After that, we’ll be reviewing for the AP exam. What do you mean you have to take AB before BC? Isn’t that the usual order?</p>

<p>some schools let their students jump straight to BC since half of that course is pretty much review of AB. I was begging my math dept. chair to let me skip AB but he wouldn’t let me, even though I was done with MVC by the end of sophomore year :(</p>

<p>anyways, IDK my calc teacher said that he taught those topics until last year, and then he took them out of the curriculum for us this year since those topics haven’t been tested for a long time (according to him)</p>

<p>it’s not like I don’t know how to do them, I’m just making sure so I know what to expect</p>

<p>As mentioned before, the previous posters are correct about inverse trig derivatives (#3 on the 2004 AB exam), derivatives of inverse functions (this is #3d on the 2007 AB exam), and optimization (this is really just absolute maxima/minima questions in context, so some would argue that 2009 #2 and #3 cover this) being part of the exam structure. Hyperbolic trig functions indeed are not.</p>

<p>I thought my class was slow… We’re still on volumes haha.</p>

<p>Honestly, I think there’s still time to self-study BC materials out of a prep book so go for it thrill3rnit3. It’s what I’m trying to do haha.</p>

<p>@TheMathProf: are those questions (ie. #3 2004) free response questions?</p>

<p>@MrWheezy: We’re doing volumes today, and I think that’s the last topic we’re going to cover, then it’s just review from this point on</p>

<p>Sorry, yes, those are free response questions. They only release Multiple Choice Exams every 5 years or when an important change to the style of the exam is coming. The last MC exams released were in 2003 and 2008.</p>

<p>My class is on differential equations at the moment. Our class also only covered inverse trig derivatives and derivatives of inverse functions very briefly. My teacher is an ex-Princeton professor and quite eccentric lol.</p>

<p>We finished everything and are now reviewing for the AP exam. I looked back at the free responses for the past few years, and there has been an area/volume question and a Riemann or trapezoid sum every year. So if you can get those down, that’s like 2 of the 6 FRQs. I’m really hoping for a slope field one this year though; they’re so easy and you can pick up 6 points just for solving the differential equation.</p>

<p>From what I’ve seen, the major FRQ topics are:
Area + Volume
Related Rates
Approximation of an Integral (Riemann Sum, Trapezoidal, etc…)
Velocity/Acceleration/Position functions
Relative Extrema</p>

<p>It is fairly easy to pick up partial credit without doing much on a lot of them. On volume questions you get a point just for putting a pi in front of the integrand, and getting the bounds right will also earn a point. And like I said before, 6 whole points for a differential equation. You can only get a max of 3/6 if you forget the constant “C”, and 0/6 if you don’t separate variables, so DO NOT forget those steps should there be one on the exam.</p>

<p>yeah, let’s say a problem asking for area bounded by 2 curves is worth 3 points w/o calculator (true example)</p>

<p>1 point for setting up the integral (with correct limits, upper function-lower function, etc)
1 point for antiderivative
1 point for final answer</p>

<p>Let’s get some practice problems going.</p>

<p>Let f and g be differentiable functions with the following properties:</p>

<p>(i) *g<a href=“x”>/i</a> > 0 for all x
(ii) *f<a href=“0”>/i</a> = 1</p>

<p>If *h<a href=“x”>/i</a> = *f<a href=“x”>/i</a>*g<a href=“x”>/i</a> and h’(x) = *f<a href=“x”>/i</a>g’(x), then *f<a href=“x”>/i</a> =</p>

<p>(A) f’(x)
(B) *g<a href=“x”>/i</a>
(C) e^x
(D) 0
(E) 1</p>

<p>Are you kidding? My school WON’T EVEN ALLOW STUDENTS TO TAKE THE AP EXAM unless they score 80% or above in the classroom. The book we use sucks too, that’s why I am self-studying</p>

<p>E, because h’(x)=f’(x)g(x)+f(x)g’(x), so f’(x)=0. I am not being allowed to take the AP test because I self-studied. I am quite frustrated.</p>