Calculus Calculus II book to really understand

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The discussion centers on the challenges faced in a flipped Calculus II classroom, particularly in finding resources that effectively explain concepts through real-world problems. The preference is for materials that introduce topics without heavy reliance on formulas or proofs, focusing instead on conceptual understanding. The individual is currently studying vectors in 3D space and has found a lack of resources addressing this topic in typical Calculus II textbooks. Recommendations include George Simmons' "Calculus with Analytic Geometry" and the "Streetwise Guide to Calculus" series, noted for their educational approach and clarity in explaining mathematical concepts.
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I'm taking Calculus II and my class is a flipped classroom so I am excited to finally be able to learn in a way that works for me. However, I am having some trouble finding resources to help me truly understand the material. Ideally, a book would introduce topics in a way that explains the problem that inspired the creation of the concept in the first place. So for derivatives, it could talk about a problem in physics that they needed to know the instantaneous rate to solve. Then it would kind of guide you to figure out how to approach such a problem on your own and to find a method to solve for the derivative.
I am a math education major, so maybe i need to get used to vigorous proofs but I feel that that would confuse me more. I think I would do better to have a book that doesn't contain any math at all (no formulas or proofs). I am pretty good at deriving things when I understanding them so the important thing is that I find a book that helps me to understand the concepts. I'm currently learning about vectors in 3d space and I can't even find that in many of the calculus II books I've looked at so that's another problem.
 
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I would check out George Simmon's Calculus with Analytic Geometry or Streetwise Guide to Calculus series. Both books are written very well, and from a perspective of education.
 
bacte2013 said:
I would check out George Simmon's Calculus with Analytic Geometry or Streetwise Guide to Calculus series. Both books are written very well, and from a perspective of education.
Awesome thanks!
 
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