# Talk:Systems of Linear Differential Equations

### From Math Images

Diana's feedback from 7/26 on the last 2/3 or so of the page can be found at https://docs.google.com/viewer?a=v&pid=gmail&attid=0.1&thid=1401be3e9f378941&mt=application/vnd.openxmlformats-officedocument.wordprocessingml.document&url=https://mail.google.com/mail/u/0/?ui%3D2%26ik%3D16e38c327d%26view%3Datt%26th%3D1401be3e9f378941%26attid%3D0.1%26disp%3Dsafe%26realattid%3Df_hjlmpl8q0%26zw&sig=AHIEtbRFI86zm2nLdW7umRRv5-4sP8ccGg --Chris 16:21, 10 August 2013 (EDT)-

--Chris 12:04, 25 July 2013 (EDT) Xintong, I made a number of small edits myself; you can view them in the History if you'd like. Below are my edits of the first part of the page until the math got the better of me. I've asked Diana to finish editing the rest of the page.

Basic Description:

- Intro to Systems of Linear Differential Equations
- differential equation: Consider changing "involves" to "contains".
- linked system "multiple different"? This seems redundant or awkward wording.
- Last two sentences. How does eigentheory connect with the last sentence?

More Mathematical Explanation:

- Solving the Two Dimensional System
- Intro sentence needed, something like: "In order to understand how a system of linear differential equations is useful in making sense of the Cold War Arms Race, we first need to understand the general system. ¶ The general system of linear differential equations is..."
- Do we want to write "the coefficients" before "a,b,c, and d are elements of ALL…"?
- Remove the sentence beginning with "Naturally, the systems…"
- P5: Change "intuition" to "understanding".

- Back to the Two Dimensional System
- P1,S1: Help the reader understand why the solution to the one dimensional case suggests that particular solution. It's not obvious at least to this reader.
- P1,S3: You introduce λ and vector v here without any explanation.

## Contents |

# Checklist for Writing Pages

Original Checklist completed by --Xtian1 16:26, 23 July 2013 (EDT)

## Messages to the Future

- I felt a bit rushed at the end, so I think I only glazed over the concepts in the Stability section. The "Why it's Interesting" section feels a bit forced out too. If someone ever wants to enhance this page further, feel free to flesh out these sections.
- Someone who has real analysis background: Please look at my More Rigorous Proof and add more to it, such as proving facts about
*e*.^{At}

## References and Footnotes

- All images are cited.
- I don't see any places that I really need references. Someone let me know if they find something.

## Good Writing

### Context

- Explains how linear differential equations are very applicable to the arms race. The Cold war arms race was used to generate interest in the reader.

### Quality of prose and page structuring

- Beginning part of the page mentions how the page is about systems of linear differential equations.
- Each section is definitely relevant.
- Section headings help clarify section's content.
- Links into many Helper pages for maximum clarity.
- The hardest mathematical part, the More Rigorous Proof, is placed at the end of the More Mathematical section.

### Integration of Images and Text

- Each image is vital in helping understand the material.
- When relevant, text points to the most relevant part of the image.

### Connections to Other Mathematical Topics

- Abundant use of other Math Images pages.

### Examples, Calculations, Applications, Proofs

- Many examples are provided.
- Proved most of the things, though left a few advanced proofs for others.
- Many applications, such as arms race and Hooke's law.

### Mathematical Accuracy and Precision of Language

- I tried to be as mathematical as possible without losing clarity.
- To my knowledge, everything I wrote is mathematically accurate.
- Defined many foreign terms to help the reader's understanding.

### Layout

- Less images than desired, but this is a very equation-based topic.
- Paragraphs are typically short, with equations spaced out nicely.
- Hided various points to decrease "scariness".
- Minimized white space.
- None of my text will wrap around images, since my images have to be big to be clear. Computers with different resolution screens could screw it up, so I decided to not bother with text wrapping.
- All images are in the correct location.
- No weird computer code in hidden sections.
- Tried on a few computers, seems all fine.

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