Maple Does anyone know how to use the Maple Software?

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SUMMARY

This discussion centers on using Maple Software for homework assignments involving Legendre polynomials and series expansion. Users are instructed to utilize Maple's online help files for guidance on functions such as series and plotting. The specific task involves expanding the function sin(x) in terms of Legendre polynomials Pn(x) over the interval [-1, 1]. The user seeks confirmation on their approach and assistance with plotting the results.

PREREQUISITES
  • Familiarity with Maple Software for mathematical computations
  • Understanding of Legendre polynomials and their properties
  • Knowledge of series expansion techniques, specifically Taylor series
  • Basic skills in plotting functions using Maple
NEXT STEPS
  • Explore Maple Software's online help files for detailed instructions on series and plotting
  • Study the mathematical properties and applications of Legendre polynomials
  • Learn how to implement series expansions in Maple, specifically for trigonometric functions
  • Investigate plotting techniques in Maple to visualize polynomial expansions
USEFUL FOR

Students and educators in mathematics, particularly those working with computational tools like Maple for polynomial expansions and graphical representations.

ilikephysics
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The instructions for the attached homework instructs us to use maple for both problems. I really don't know how to use it. I've never really used it. Can someone help please?
 

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Everything you need should be in Maple's online help files. Look up series and plot and so on.

- Warren
 
am i doing #1 right?

I'm still a bit confused of how to do legendre polynomials. For #1, I have to expand the function sin(x) in a series of legendre polynomials Pn(x) on the interval x E [-1,1]. Would I do this like the taylor series, x-x^3/3!+x^5/5!-x^7/7!+...

So would P0(x) be x, P1(x)=x^3/3!, P2(x)=x^5/5!, P3(x)=x^7/7!

Still don't know how to plot it..
 
Can someone help

Can someone please help me? I tried #1. Is it right? Am I on the right track?
 

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