Homework 1



Homework 1: Due Friday 15 September

For many of the problems for which I state that no explanation is necessary, it still might be a good idea to show your work and/or explain your reasoning.


Autobiography: Write a brief paragraph (or send me an email) describing the math classes you've taken previously. Be sure to indicate where you took those classes: high school, COA, another college. Feel free to mention any other information about your math background that might be relevant, interesting, and/or amusing. (10 points).

Chapter 1.1:

  1. 2. (5 points) No explanations necessary.
  2. 4. (5 points) No explanations necessary.
  3. 5. (5 points) No explanations necessary.
  4. 11. (10 points)
  5. 13. (10 points)
  6. 20. (5 points)
  7. 22. (10 points)

Chapter 1.2:

  1. 2. (5 points)
  2. 6. (5 points)
  3. 10. (10 points) No explanations necessary.
  4. 16. (10 points)
  5. 17. (10 points)
  6. 23. (10 points)

Computer Problem: Maple should be on the desktop of all Macs and PCs in the computer labs. Double click on the icon and, after a little bit of whirring, a maple icon will appear. Maple commands are fairly intuitive, but they do take a little getting used to. Maple has some pretty good built-in tutorials. A decent tutorial on plotting with maple can be found here; ignore the stuff about putting titles on plots, though. For Maple help from a real live human, talk to Shiva Polefka or me.

  1. Use Maple to plot f(x) = 4x^2, and then print out the plot. (Hint, Maple doesn't understand 4x^2, but it does understand 4*x^2.) (10 points)
  2. Use Maple to plot a cool function, and then print out the plot. Be sure to say why you think the function is cool. (10 points)

Bonus:

  1. 1.2: 22



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