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Students lead busy lives and often forget about an upcoming deadline.Then, suddenly, a thought comes into their mind, one that you might have had yourself and more than once, “I need to get my homework done, but I have no time for it!
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You may work with other students or use library resources, but each student must write up his or her solutions independently. A bonus point will be accorded to the most elegant and original expository examples. It is not necessarily required that all minor proofs are presented.
Copying solutions from other students will be considered cheating, and handled accordingly. If you miss the midterm exam for a *documented* medical reason, your grade on it will be the prorated grade of your final exam. It must be typed/word-processed, and should be approximately eight pages in length, double spaced. Papers that include passages lifted verbatim from other sources without appropriate citations will receive a grade of F.
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There are times when you just have too much on your hands, and you may even start telling your fellow students “Can anyone help me with this paper?
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The text has to be typed and hand written texts will not be accepted. Walter Rudin for some occasional more advanced material. Disclaimer: The practice midterm is to give you a general idea of the type and level of the problems of the midterm exam. Your paper must be written in such a form that it could possibly be included in a hypothetical textbook.
For a more detailed discussion of the topics and in particular for a thorough review of the first part of the course on logical semantics and set theory, you can refer to Professor Hajlasz's lecture notes: Introduction to Analysis. The problems in the exam are NOT necessarily very similar or the same as in the practice exam. After grading them I will return them to you for corrections (if there will be such a need) and then I will grade them again. If you need to include pictures, leave the space and draw the pictures by hand. Write a paper in which you construct a complete ordered field using cuts in the set of rational numbers. After grading them I will return them to you for corrections (if there will be such a need) and then I will grade them again. The term paper should be written in the style of an expository article on a topic of your choice in Analysis.