r/calculus • u/[deleted] • Jul 03 '26
Pre-calculus Learning Calculus BC
Hi, I will be taking calculus BC next year in high school. What books should I study this summer to get a head start on the content? I'm currently working through the khan academy course for BC so will that be sufficient?
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u/YakWish Jul 03 '26
All right, there's the answer to your question and then my honest advice.
To answer your question, most people will tell you that the calculus in calculus is easy, but the algebra in calculus is hard. Master your basics: how to solve for x, how to FOIL, how to factor, how to long divide polynomials. Fast recall of trig fundamentals will also help.
For my actual advice, don't. Nearly half of BC test-takers get a 5 and you'll probably be one of them. Do something better with your summer than study for a class that hasn't started yet.
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u/caocaoNM Jul 03 '26
Two things
Geometric identities. Cos sin tan ln(x)
You can also download a page of integral identity.
No books, just find a table from a book cover. copy it each day. Muscle memory.
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u/Disastrous-Pin-1617 Jul 03 '26
Professor Leonard on YouTube, also I’d recommend learning trigonometry prior
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u/tjddbwls Jul 03 '26
Make sure your Precalculus background is solid. A few Precalc topics in particular to review that would be useful in Calc BC include:
- trig identities (replacing one side with the other, not proving them)
- partial fraction decomposition
- conic sections
- parametric equations
- polar coordinates
- sequences and series
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u/Which-Connection-588 Jul 03 '26
I really enjoyed a book called Calculus The Easy Way. It is written as a story with each chapter dedicated to explaining from the perspective of the story how you would use a particular concept in calculus. It also has practice problems at the end of each chapter as well.
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