Calculus II book to really understand

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SUMMARY

The discussion centers on finding effective resources for mastering Calculus II, particularly for students in a flipped classroom setting. The user seeks books that introduce concepts through real-world problems rather than rigorous proofs or formulas. Recommendations include George Simmons' "Calculus with Analytic Geometry" and the "Streetwise Guide to Calculus" series, both praised for their educational perspective and clarity in explaining complex topics like derivatives and vectors in 3D space.

PREREQUISITES
  • Understanding of basic calculus concepts, including derivatives and integrals.
  • Familiarity with 3D vector mathematics.
  • Knowledge of flipped classroom learning methodologies.
  • Interest in educational resources and pedagogical approaches in mathematics.
NEXT STEPS
  • Explore George Simmons' "Calculus with Analytic Geometry" for conceptual understanding.
  • Investigate the "Streetwise Guide to Calculus" series for practical applications of calculus concepts.
  • Research real-world problems that utilize calculus, particularly in physics.
  • Learn about effective teaching strategies in mathematics education to enhance comprehension.
USEFUL FOR

Math education majors, students seeking to deepen their understanding of Calculus II, and educators looking for effective teaching resources in calculus.

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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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