What math should I take next year?

[government]

I just finished precalc and have done a little bit of studying this summer of basic calculus.

I don't know what is on the calculus ab/bc curriculum so could anyone here who has taken the class before tell me what I am missing?

Here is what I have done so far in calculus over the past month:

-limits
l'hopitals rule

-Differentiation:
power rule
Chain rule
product/quotient rule
logarithmic differentiation
basic trig/reciprocal functions(no arcsin or anything like that)
implicit differentiation
second/nth derivatives


-Integration
u substitution
basic trig functions
integration by parts
area under a curve or area bounded by curves/axes

I've also touched on optimization and concavity but haven't done much with it. Also a few easy word problems.

This probably isn't enough to take the ab or bc exam but how much more do I have to cover before I am ready?

 

[Angry Citizen]

I've recently done calculus I from a college course (which is supposed to be like AP calculus, but I guess more indepth). Do more on optimization, as well as related rates (things like ladder problems). I'd also check out mean value theorem and finding maxima and minima.

 

[General_Sax]

Sounds like you're doing really well for self-studying. Keep up the good work!

 

[HappyTheMan]

You have covered the majority of the material on the AB exam. If you reinforce the material you have learned and even download some practice exams from the collegeboard website, you should be good to go.

 

[rezeew]

I would recommend that you continue to build on your knowledge of calculus by taking either Calculus AB or BC next year. These courses will cover more advanced topics such as related rates, volumes of solids, and advanced integration techniques. It is important to have a strong foundation in calculus before moving on to these more complex topics. Additionally, I would suggest practicing problem-solving and critical thinking skills, as these will be crucial in understanding and applying the concepts you learn in calculus. As for how much more you need to cover before taking the AB or BC exam, it really depends on your understanding of the material and your ability to apply it in different scenarios. I would recommend speaking with your math teacher or a guidance counselor to determine if you are ready for the exam. Keep up the good work and continue to challenge yourself in your math studies!