Unlock the Power of Calculus: Algebra 1 to Boaz for Students

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The discussion highlights the potential benefits of introducing calculus concepts early in the math curriculum, particularly after Algebra 1 or integrated into Algebra 1 courses. Resources such as a specific book and a website are recommended for students to enhance their understanding of topics like logarithms and trigonometric functions. The conversation emphasizes that knowledge of calculus can simplify these concepts and suggests that students could effectively transition to more advanced topics without needing a traditional calculus course. The mention of specific books and courses indicates a belief that calculus should be taught earlier in education to better prepare students for advanced mathematics. Additionally, there is an interest in feedback from those who try these resources.
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Here is an interesting book a student could do after after Algebra 1, or even integrate into an Algebra 1 course:
https://www.amazon.com/dp/B077VV95N3/?tag=pfamazon01-20

And a website:
https://www.calculussolution.com/

Several topics become easier, such as logarithms, when you know a smattering of Calculus. You could incorporate knowing it into an Algebra 2/Precalculus course. As it stands, you could probably cover trig functions etc. not covered is the 5-hour course from Kleppner in the last few weeks (which I know is enough to do Boaz):
https://www.amazon.com.au/dp/0471827223/

Having a copy of Boaz, I am confident they would know enough to start on that rather than a traditional Calculus course e.g. it covers series, complex numbers etc., all of which will not need to be covered in the Algebra 2/Precalculus course. I am one of those people that think Calculus is not taught early enough.

Thanks
Bill
 
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Physics news on Phys.org
The Fundamental Theorem of Integral Calculus and why it makes solving integrals trivial. Page 114.

Someone call wolfram alpha!

I'm interested to hear if anyone tries this how it is.
 
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The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...

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