<p>Hi. I'm a high school senior, and I'm going to self-study AP Calculus BC this year, because my school does not offer Calc BC (although my AP Calculus AB teacher from last year is going to be my "supervisor", helping me out frequently).</p>
<p>My question is, which section of the Calculus would be considered BC material?
I know you have to cover everything in Calc BC, but can someone tell me which sections from each chapter?
I remember my teacher skipping over some sections from the 8 chapters we studied in AB, so I thought it might do that with Calc BC too?</p>
<p>I will be continuing my Calc studies with the text book I used last year:
Single Variable Calculus 4th Edition by James Stewart.</p>
<p>If someone studied using this textbook, can you tell me which sections that you skipped or need to cover?
And any tips or guidelines of studying technique, or ANYTHING would be AWESOME!
If you happen to know a supplement workbook for Calc BC that you know is great and easier to understand, I would love that too.</p>
<p>Since I'm self-studying, I have to come up with my very own schedule of how to cover all the content in this year before the AP Exam in May, so if anyone has a chapter by chapter schedule of studying BC, can you please give me advices?</p>
<p>I checked College Board and did find a schedule and course content, but it doesn't correspond with my textbook so it's giving me a hard time. </p>
<p>Thanks in advance!!</p>
<p>The College Board offers 22 examples of textbooks that can be used for Calc BC. The probability that any past students of this course reading this post and having used your text is less than 5%. Since you know the topics for BC, I would suggest asking your teacher.</p>
<p>I did this, sort of, last year. Topics I can tell you off the top of my head that you WILL need to cover:
Integration Methods (trigonometric, partial fractions, by parts)
Applications of Integration (shell method, length of a curve, surface area)
SERIES (arithmetic sequence, geometric sequences, infinite geometric sequences, telescoping series, several other types of series, maclaurin and taylor series)
Polar coordinates (you will need to know how to integrate and derive polar equations)
Parametric equations</p>
<p>The thing about self-studying is that by the very nature of it, you define your own pace. If you need more time to cover a topic you WILL have to take more time on it. Consequentially you will also have to skip past the stuff you already know, or go quickly through the stuff you are confident about. I suggest you go back to the College Board Course content and determine the topics not covered in the normal AB course. From there create a sort of “schedule” of when you should cover everything up to series. IMO you should dedicate your time from at least march to series. </p>
<p>I did this, sort of, last year. Topics I can tell you off the top of my head that you WILL need to cover:
Integration Methods (trigonometric, partial fractions, by parts)
Applications of Integration (shell method, length of a curve, surface area)
SERIES (arithmetic sequence, geometric sequences, infinite geometric sequences, telescoping series, several other types of series, maclaurin and taylor series)
Polar coordinates (you will need to know how to integrate and derive polar equations)
Parametric equations</p>
<p>The thing about self-studying is that by the very nature of it, you define your own pace. If you need more time to cover a topic you WILL have to take more time on it. Consequentially you will also have to skip past the stuff you already know, or go quickly through the stuff you are confident about. I suggest you go back to the College Board Course content and determine the topics not covered in the normal AB course. From there create a sort of “schedule” of when you should cover everything up to series. IMO you should dedicate your time from at least march to series. </p>
<p>@skieurope @thesoxpride10
Thanks for the advice!!!
I actually have a group of others senior self studying with me now, and we made a schedule today after looking at college board and showed it to our Calc AB teacher who thought it was good enough to start with ;)</p>
<p>Anyone else who has tips for studying Calc AB and BC in general?</p>
<p>@Minion15
It can be helpful to watch the corresponding lectures of the Calculus courses on MIT Open Courseware. Also PatrickJMT (I believe that is his user name) has some great videos on youtube. </p>
<p>@thesoxpride10
Thank you so much! I checked both of them, and although the MIT Open Courseware looked pretty intense and complicated for me, the Youtube videos would definitely help me 
</p>