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(based on MATH0450, Spring 2010 notes, courtesy of Piotr Hajlasz). Written Projects: It is required that the projects be typed on a computer. Refer to the discussion in the class on Monday Feb. You should prove all the properties of such a field. Here is a list of suggested topics , but you are not limited to that list.
Grading: Your final grade depends on your performance on the final exam as well as on your total grade calculated as follows: Homework (10%), Written projects (10%), Class midterms (40%), Final (40%). Using Te X or La Te X is preferred, but you can also use Word or other systems. Assuming the premises and basic facts of the axiomatic set theory, write the definitions of the notions of equivalence relations on a set and partition of a set. Assuming the existence of real numbers, construct an ordered field which includes them but is not complete. If necessary, I could give you some further personal advice on the choice of your topic.The main goal is that the students acquire proficiency in reading, understanding and writing mathematical proofs in the standard format in the context of mathematical analysis as well as familiarize themselves with some more advanced aspects of the topic. Bartle and Sherbert, Introduction to Real Analysis, Third Edition, Wiley. All covered material up to and including the topic on Archimedean property of the real numbers.This is an intense writing course and every student will have to complete 2-3 writing projects. You can refer to Principles of Mathematical Analysis, Third Edition. That corresponds to the first three chapters of the online notes, but we also covered some extra material such as equivalence and order relations in class.I never needed anyone to do my homework for me until I got a part-time job in college.Good thing I did my research and chose this website to outsource all the essays.I chose this site for affordable prices and excellent support. People come to us to get assistance with their academic tasks and get just that.We do not ask why you are unable or not willing to do it on your own once you contact us with words like “Help me do my homework.” You must have your reasons, and our main concern is that you end up getting a good grade.Clarity and tidiness of presentation, completeness and correctness are necessary to obtain full grade. To encourage using Te X or La Te X, 1 bonus point for each project typed in that system will be accorded. State and write the proof of the fundamental theorem of equivalence relations and provide an illustrating example. Refer to the discussion in the class on Monday Feb. You should prove all the properties of such a field and show that it cannot be complete. Your paper should be interesting and comprehensible to a reader who does not already know your topic.In particular untidy presentations of correct proofs will be severely penalized. Your paper must be written in such a form that your proof could possibly be included in a hypothetical textbook. It must include some technical detail or proofs and some expository examples and explanations.” Not a pleasant situation, but not a hopeless one.After all, solving such problems is what our service was created for!