HW: Reading and writing

In this short homework assignment, you will read a published article and start writing a draft of your own article. It is due Monday, September 9.

  • Begin by reading the guidelines for how you are going to write up your lab report articles. The instructions are (intentionally) somewhat vague, but this is something you will get the hang of very quickly. Be sure to ask for any clarifications if you need them!
  • Read the article “Harmonic series meets Fibonacci sequence”. You do not need to understand every single detail—that’s not the point. Instead, try to get the idea of what they are trying to do and how they are trying to do it. Of course, this article isn’t written exactly according to our class guidelines, but you can probably see that it could have been!
  • Write a half-page response to the article, using the following questions as writing prompts.
    1. Briefly, what is the article about? Why do you think it was written? What does it hope to accomplish?
    2. The introductory portion is supposed to motivate the subject, preview the technical portions, and draw you in to reading the rest. Did it work for you? Why or why not?
    3. Pick a proof in the article. Could you follow its logical structure? Could you follow it line-by-line or was it missing some necessary explanation? Did it convince you that the result is true?
    4. Can you think of any new questions that fit with this theme but that the authors did not address?
  • Write a one-page-or-so draft of the beginning sections of your Lab 1 report article. Be sure to include the following components.
    1. Careful definitions of all of the terms you will be using: linear function, iteration, iterate, convergence, divergence, etc.
    2. Some motivation for studying iteration in the first place. This can come from the text, from your own thoughts, or from other sources such as wikipedia.
    3. A short preview of some of the most important questions you will be (partially) answering.
    4. The very beginning of the development of your results. For example you could pose some of the questions 1–5 and give your answers (and why they work).