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MATH 403 Foundations of Mathematics Practice Exam

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Mathematics 403—Spring 2020 Foundations of Mathematics Test 2 April 3–7, 2020 Directions (READ CAREFULLY) There are five problems on this exam, each worth 20 points. On each of the problems, you should justify all of your answers, using results from the text, from your homework, or from class. (You don’t have to quote the numbers of the theorems from the text though!) Do as much as you can on each of the problems you work on, but leave out reasoning that you know is wrong. You shouldn’t hand in scratch work (although writing down all of your thoughts and deductions on scrap paper is VERY helpful in coming up with a correct proof). Write up your answers clearly and neatly. The solutions will be graded for mathematical correctness, clarity, and grammar. (Use punctuation, capital letters to begin sentences, etc.) Feel free to e-mail me if you have any questions about the exam, and I’ll get back to you as soon as possible You may consult any of the sections in the text that we have covered in class, as well as your class notes, but do not consult other sources, and DO NOT WORK WITH OTHER STUDENTS. The exam is due on Tuesday, April 7 at 5:00 p.m. Problems 1. Yummy Peanut Butte ...
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