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Math 3210-3
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Math 3210-3
Location: MWF LCB 225, T HEB 2002
Time: M,T,W,F 10:45 - 11:35 AM
Text: The department recommends that we use Foundations of Analysis, by Joe Taylor. You could use that as a reference for the lectures, but we will also use Analysis with an Introduction to Proof, by Steven R. Lay. You do not need to buy this book because the lectures should be sufficient, and there is a copy of this book on reserve in the Math Library. I highly recommend that you buy a used copy of the book though because it is one of the best Intro to Analysis books in that it is easy to read. But any intro to Analysis book would be a good reference for the class. You basically just need something that will have the definitions and theorems we will cover.
Prerequisite: Math 2210.
Objectives: There are two objectives for this course. The first is to cover the concepts and theorems fundamental to calculus. The second is to develop the students' ability to read and write proofs and communicate mathematics rigorously. See the Tips for Succeeding in Foundations of Analysis for more information.
Homework: This class is an introduction to proofs and proof-writing. This means, essentially, you will be learning to read and write in the language of mathematics. The best way to learn to read and write in a language is to practice reading and writing in that language. For that reason, homework is very important in this class. Accordingly, it is a major part of your grade. I should give you the ground rules for homework so that you are prepared to succeed in this class.

Homework will be due twice a week at the end of each Tuesday and Friday class starting Friday, August 24. Homework that is less than two class days late will be graded at 75% credit. Homework more than two class days late will not be graded. The last homework assignment for the semester may not be turned in late. The lowest homework score will be dropped in calculating the final grade.

Homework must be neat. Since you are new to reading and writing proofs, I hope and expect that you will be making mistakes. One learns more from struggle than from easy success. Therefore, you should use a pencil. If you write your homework in a spiral notebook, please remove the "ruffles". Or, better yet, you can leave the paper in your notebook and turn in a photocopy. Your papers should be stapled. By this I mean with metal staples. No origami staples. Be sure to put your name and assignment number on your paper as well.

Regarding notation, you should write only true statements. This means, among other things, that you should use an equals sign only to show that two things are equal. Do not use an equals sign to indicate "implies."

I recommend that you work in small groups (2 to 4 people seems best) on your homework. Each person should, however, turn in their own work. I want you to put a star next to each of the problems which you worked on completely by yourself. These stars will not have any effect on your homework grade whatsoever. My intention here is to show you how much you are relying on your peers for your understanding. If you don't have very many stars on your homework, then that should indicate to you that you are relying on your peers a little too much.

Each student is also required to keep a "dictionary" of definitions of the terms we cover in class.

Problem Sessions: We will have weekly problem sessions every Tuesday starting August 28. Each Friday I will ask for volunteers and assign problems from the homework for students to present to the class in the next problem session. This is a great opportunity to learn from your peers and to teach your peers. It is a basic fact that a person does not truly understand a concept unless that person can explain it to someone else. And of course participation in these problem sessions is a part of the grade for this course.
Quizzes: We will have weekly quizzes every Friday. They will mostly cover definitions and theorems we learned the previous week. The lowest quiz score will be dropped in calculating the final grade.
Tests: We will have three tests during the semester. Make-up exams will only be given in extenuating circumstances, and you must make arrangements with me to take a make-up exam prior to the actual exam, unless the extenuating circumstance happens the day of the test in which case you should speak to me before the end of the exam week.
Final: We will have a comprehensive final Thursday, Dec. 13, 10:30-12:30 in our classroom. Students must take the final to pass the course.
Grading: All of the problems in this class will be graded on a correct/incorrect manner. That is you get a point for the problem if it is correct, and you don't if it is not. In some cases a half-point will be awarded if there is only a minor error. The points will be accumulated at the end of the semester and averaged. The following relative weights will be used in determining the final grade for the course:
Homework: 40%
Problem Session: 10%
Tests and Quizzes: 25%
Final Exam: 25%
The grading scheme is as follows:
A at least 80%
B at least 70%
C at least 60%
D at least 50%
The +/- scores will be awarded at the fringes of these intervals.
Tentative Course Schedule: All dates are indicated on the Tentative Course Schedule and are subject to changes, especially those in the latter part of the semester. Test dates will be finalized and announced in class and on the web page one or two weeks prior to each test. It is your responsibility to keep yourself updated on the finalized test dates.
Mid-term Course Evaluation: If you have any comments, suggestions, or criticisms regarding this course or my teaching you could speak to me directly, or you could fill out the anonymous Mid-term Course Evaluation Form.
ADA Statement: The Americans with Disabilities Act requires that reasonable accommodations be provided for students with physical, cognitive, systemic, learning, and psychiatric disabilities. Please contact me at the beginning of the semester to discuss any such accommodation you may require for this course.
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Department of Mathematics
University of Utah
155 South 1400 East, JWB 233
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