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Description of course: This is an honors version of Math 240. It will cover the material in greater depth than that course, with more challenging problems and more attention to definitions and to the reasons behind the results. The course assumes familiarity with the material in Math 116, an honors version of Math 114. The precise sequence of topics within each semester will differ somewhat between the Math 114-240 sequence and the Math 116-260 sequence; but over the course of the two semesters, the honors sequence will cover the usual material and more. Contents of course:
Work with anyone on solving your homework problems,Writing up the final draft is as important a process as figuring out the problems on scratch paper with your friends, see the guidelines below. Mathematical writing is very idiosyncratic - I will be able to tell if papers have been copied - just don't do it! You will not learn by copying solutions from others! Also, if you work with people on a particular assignment, please list your collaborators somewhere on the top of the paper. Make the process fun, transparent, and honest. Selected solutions: If there are problems that seem important enough and sufficiently misunderstood, I'll write up solutions and post them here. These solution sets contain good models and often explicit guidance for writing your own proofs.
Policies(or otherwise the small print)Homework: Homework will be due in lecture every Thursday (except for the first Thursday of the semester, January 15th, there will be no homework due). Homework will always be posted the Tuesday of the week before it's due (except for the first assignment of the semester). Late or improperly submitted homework will not be accepted. Period. If you know in advance that you will be unable to submit your homework at the correct time and place, you must make special arrangements with me ahead of time (like emailing it to me if you're trapped on a desert island). For example, if you observe religious holidays, then you already know what their dates are. It is your responsibility to hand in your homework early. Prof. Grassi will decide each week on a selection of exercises from the text book, together with additional problems, to assign for homework. Once Prof. Grassi collects the homework on Thursday, she will hand it over to me. I will then review it, and select approximately three problems to grade that reflect especially well the concepts and ideas covered that week. I usually grade each problem out of three points, and give one point for general completeness. I consider whether you seem to understand the main idea of the problem and how to convey that understanding. See below. In general, even if you haven't completed all the homework problems for the week, it is advisable to hand in what you have. This said, and in keeping with the guidelines below, I would advise handing in a selection of problems with complete solutions rather than shaky and poorly written-up solutions to all the problems. Your lowest homework score will be dropped. Of the remaining 12 homework assignments, each is only worth about 2% of your grade. Your homework must be stapled, with your name and lab number clearly written on the top. Consider the pieces of paper you turn in as a final copy: written neatly and straight across the page, on clean paper, with nice margins and lots of space, and well organized. If I can't read it, I won't grade it. Exams: Please direct all questions about exam and/or make-up policy to Prof. Grassi. Homework guidelines: Generally, a homework problem in this course will consist of two parts: the creative part and the write-up.
Please note that a fully correct solution requires both parts: having "figured out" the problem, but not having written it up (or having written up something incoherent that does not express what you know) or conversely, having written up many pages of beautiful prose that still fail to solve the problem, don't count for very much. You will be graded accordingly. |
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