Recommend Calculus Text Book for self-study

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SUMMARY

The discussion centers on self-studying Calculus II and III using "Calculus with Analytic Geometry, Seventh Edition" by Larson. Participants confirm that this textbook covers essential topics for these courses, including Green's Theorem and Stokes' Theorem. However, they emphasize the importance of mastering Calculus I concepts, especially for those who scored a 3 on the AP BC exam. Additional resources recommended include "Elementary Calculus" by Keisler, which is available for free online.

PREREQUISITES
  • Understanding of Calculus I concepts
  • Familiarity with AP Calculus BC curriculum
  • Basic knowledge of multivariable calculus
  • Self-motivation and discipline for independent study
NEXT STEPS
  • Review Calculus I concepts to solidify foundational knowledge
  • Explore "Elementary Calculus" by Keisler for additional learning
  • Research online resources for practice problems in Calculus II and III
  • Investigate study groups or forums focused on calculus topics
USEFUL FOR

Students planning to self-study calculus, particularly those aiming to transfer to competitive universities like Berkeley, as well as anyone seeking to strengthen their understanding of multivariable calculus concepts.

f24u7
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I have Calculus with Analytic Geometry Seventh Edition, by Larson is that sufficient for self-study Calculus II and III


Got a 3 on AP BC, and not taking math class this fall, so figure i can self study.

Thanks
 
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What are your goals and motivations in doing so? If you simply wish to compute derivatives and integrals and apply it to "real life scenarios," your current text should be fine.

If you want to learn more of the theory behind calculus, the books by spivak and apostol are generally thought of as the best.
 
my goals is to self learn the materials of Cal II and III

so my book does include the materials of Cal II and III?
 
Most introductory calculus book cover the material from calculus I-III. You're probably does go to the very last sections of your book if it covers topics such as greens theorem, stokes' theorem, and the divergence theorem then it's most likely to cover the topic through calculus III.

However a 3 on the AP BC test is the lowest passing score right? Are you sure you even know calculus I well enough to go on?
 
Yeah I would strongly recommend you reviewing calculus I if you received a 3 on the exam. You'll want to get the basics down before moving on.
 
i fully understand the concepts that underlines Calculus BC, i got a 3 on the test is because i didn't bother to study for the test since it was senior year, but reviewing sounds like a good idea.

also, besides the textbook, what tools would you guys recommend to assist me in learning Calc II
 
Textbook's pretty much it, calculus II is mostly covered in a typical calculus BC class.
 
f24u7,

I don't know what your major is, but if it is math or physics or engineering or economics or anything else that uses math a lot, and you are planning to self-study in order to skip classes, then only do so if you are absolutely sure you know the material and you are very self-motivated and somewhat gifted in math. I saw many fellow students flounder in classes (and even wash out) simply due to poor math skills - taking exams designed to be time-pressured and having to perform elaborate calculations right the first time means you really need to know this stuff. Trying to get ahead by skipping classes only works for very few people.

Don't mean to be a bummer, but I just want you to think twice before you make such a decision.

If you are just doing this for fun, then as other folks said it depends upon your goals and interests.


Good luck.

Jason
 
  • #10
What you're saying i totally understand, it's just that I'm in a community college right now, and for some reason i am unable to enroll in calculus, but my goal is to transfer out to Berkeley, so any chance of delay in my course schedule is unacceptable.

But from what people reply earlier it seems like i already learn Calculus II, I thought calculus II is mulivariable differiention and vectors?

So let me just make this clear. I have finish high school AP BC Calculus, in which it covers Series and Sequence, more Integration techniques, and some Polar and Parametics. And this is Calculus II?

So i might assume that Calculus III is from Vectors to Stoke's Theorem?
 

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