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Unformatted text preview: Elementary Differential Equations—MAP 2302—Fall 2010 Extra Credit Project Rules. You are not allowed to make this project more difficult for me to grade than it needs to be. • The work you hand in must be neat and legible . • No work in pencil will be accepted. Either write in pen, or type up your work. • Write (or type) on clean sheets of 8.5” x 11” paper, leaving enough space for me to write comments. • I will not grade anything that is messy, that has been over-written to correct an error, that even looks like it has been erased and then written over, or that has shreds of paper dangling from it (for example, from being ripped out of a spiral-bound notebook). • Staple your sheets together in the upper left-hand corner. No other method of attachment will be accepted. I know from experience that if you attach your sheets any other way, they will come apart, making extra work for me. You are all resourceful enough to find a stapler you can use. Don’t expect to borrow your friend’s stapler in class on the due date. Your friend will be absent, late, or out of staples; even if not, I don’t want the first five minutes of class taken up by stapling that should have been done before you entered the classroom. • Write sentences , not just equations. Do not make me guess whether an equation you’re writing is something that you’re assuming , something that’s your goal to show , or something that you think follows from what you’ve previously written . Observe the way that mathematics is written in your textbook. It’s not just “Equation. Equation. Equation.” The logical relation of each equation to the discussion, or to previous equations, is made clear. You need to do that too. On a timed exam, I’m willing to make allowances, but in this project you don’t have the same sort of time pressure. If your work is difficult for me to read or understand for any reason — messiness, ambiguous or ungrammatical sentences, or anything else—I will not grade past the point at which I first have difficulty. You are not allowed to work with anyone or consult any person other than your professor about this project (except that any discussions you may have had prior to Oct. 31 are okay). You are allowed to consult calculus textbooks in case you’ve forgot- ten some part of calculus that I refer to. There are no other sources that you should need to use. But if you’re curious enough to look up other references on Clairaut equations, and are able to understand them (most are written for mathematicians, not students), you will probably learn something, so I don’t want to discourage that. 1 Therefore you’re allowed to use other textbooks and online sources, as long as you cite them appropriately. However, the work that you hand in must be self- contained. Do not just say “X is true” and give a reference to it. If you do what I’ve just said not to do, I will stop grading at that point. I don’t have the time to hunt down what you read, which I would need to do to...
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- Spring '08
- Derivative, Continuous function, Clairaut, singular solution, straight-line solutions