Talk:Parabolic Integration

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Contents

Messages to the Future

  • I have provided numerous suggestions for what can be added to this page in the future

References and Footnotes

  • Images throughout the page are attributed and can be seen by clicking on the image
  • All the references that I used can be found at the bottom of the page

Good Writing

Context

  • I wrote an intriguing and grabbing paragraph under the section that titles my main image
  • I explained why the topic is useful as well as why it is interesting
  • I'm wondering if the "real world parabolas" section belongs on this page. I think it would fit much better as an addition to the parabolas page. Let me know what you think, but I think you should move that content (once it's edited) to the other page

Quality of prose and page structuring

  • The first sentences of each paragraph provide a purpose for the section as well as talk about what I will be discussing in the sections to come
  • I put the more difficult things at the end of the "More Mathematical Explanation" section
  • Break this sentence into two: "With all of these appearances in real life, have you ever wondered how to find the area under a parabola, that is to say how to determine the amount of material that would be needed to fill it?"
  • This sentence: "A method to find the area under a parabola does exist, one that is not as accurate as integration, but serves more as a method of approximation." isn't grammatical. Break it into two sentences to clear up what's going on

Integration of Images and Text

  • I frequently instruct the reader to refer to the images throughout the page

Connections to other mathematical topics

  • I provide a link for better understanding the definition of a parabola

Examples, Calculations, Applications, Proofs

  • I talk about many real world applications
  • I provide definitions of mathematical terms where necessary
  • After using the sum method to find the area, you should compare your answer to the exact answer you got using the integral to show how accurate the method is. I know you do this later on, but a sentence right after your second calculation would be great. Then you can say you'll talk more about it soon.

Mathematical Accuracy and precision of language

  • My statements are simple and to the point, I also try to explain things in great detail as well as say why I am doing something
  • This statement "it is rejecting air resistance and all the bodies are falling at the same rate." isn't true. The body is still experiencing air resistance. It's the disappearance of the normal force that gives the feeling of weightlessness.
  • Your explanation of G forces needs some work. The idea behind "g" forces it that you're experiencing forces that are a multiple of the acceleration due to gravity. Therefore, when you are freely falling, you fall with an acceleration of "g" aka 9.8m/s/s. When you are experiencing "2g's" that means you are experiencing an acceleration of 2(9.8m/s/s). Spend some time on this paragraph to correct it, because as is, the physics is incorrect.
  • When you say "w=\vartriangle(x)\frac{b-a}{n} where a and b are the boundaries " you need to define  \vartriangle(x)\ . Even though it seems obvious, it might not be to some readers.
  • The same goes for the word "abutment" You can make a mouse over for that one, and that will work well. Though I'm not sure why that measurement is relevant, so you might just want to take that out.
  • You should be specific that you are doing left-sided rectangles (eg, the left side of the rectangle is the height). This is what causes your over estimation in the area. Right sided ones would underestimate.

Layout

  • My text is spaced and broken up in an organized fashion
  • Key terms are bolded
  • There is a fair space between text and white
  • When typing fractions use big parentheses like this:  \left( \frac{1}{2} \right) . Click edit to see how to do that
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