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Introduction to mathematics of finite systems with applications, such as probability, statistics, graph theory, fair division and apportionment problems, voting systems. Prerequisites: Two years of secondary school algebra or MATH 009 or MATH 010.
Karla Karstens ()
DATES: May 19 - June 27, 2014
Topics covered: Voting Methods, Banzhof Power Index, Fair Division, Apportionment, Mathematics of Finance, Sampling Methods, Descriptive Statistics, Euler Circuits and Hamilton Circuits
Note: All students must buy the Course Compass/MyMathLab code for this course, which includes an e-book version of the text. If you prefer a "hard copy" of the text, it is available through the UVM Bookstore and also includes the Course Compass code. Warning! Textbooks bought through other sources will not have a Course Compass code, so that option will not work for this course. Grading Policy: 30% Midterm Exam 30% Final Exam 40% Course Compass Homeworks Please Note: Everyone gets one, and only one, homework "freebie" because you missed a Course Compass deadline. It is your responsibility to be aware of due dates and to plan in advance if you will be away from your computer before an assignment is due. I. Goals of Course This course is a great way to see how simple math is used in many different situations to help solve problems or answer questions. II. Who Should Take This Course? Most of the math in this course is arithmetic, though occasionally there is a bit of algebra. The math might be basic, but because this is an online course you will be teaching yourself many of the topics. In order to be successful in this class you should be a fairly competent mathematician, an independent learner, motivated, and not a procrastinator! If you are concerned about your ability to take a math course on-line, better to be safe than sorry. If you are a UVM student sign up for a traditional math class. III. What Will I Need for Math 17? Scientific Calculator MyMathLab Code (See below) Textbook or e-book Excursions in Modern Mathematics by Peter Tannenbaum (Note: When you sign up for MyMathLab you automatically have access to an e-book so there is no need to have a hard copy of the textbook unless that is your preference.) Along with motivation and a desire to learn, you will need either a hard copy or online version of the textbook, Excursions in Modern Mathematics by Peter Tannenbaum, (8th edition). You will find that unlike most math books, this one is pretty easy to follow, cleverly written, and has a sense of humor. I have taught out of this Tannenbaum text for many years, and most students find it a more than acceptable textbook. You will also need a MyMathLab Access Code to allow you to use the online homework. You have two options to obtain the code and neither one is better than the other, it's a matter of what will work best for you. One option is to purchase only the MyMathLab code through the Pearson website using a valid credit card (or through the UVM Bookstore). This is the most direct and least expensive option and includes an electronic version of the textbook. The MyMathLab code is necessary for you to take the homework and tests for the course through MyMathLab. With MyMathLab you get an on-line version of the book which includes all the text and homework exercises. You can also print out any pages you like. The other option is to purchase a textbook at the UVM Bookstore so you have a hard copy of the book, and the MyMathLab code separately. This option is more expensive, but some people don't like to read a book on the computer or simply want a "real" textbook to use. Warning: Do not buy your textbook through Amazon or other sources as they will not include a MyMathLab code! IV. How does MyMathLab Work? MyMathLab is an online homework and test site. It runs just like BlackBoard so most of you will find it easy to navigate. You will need to register for the course on the website: http://www.coursecompass.com/ . Follow the instructions under Student Registration and use karstensxxxx (different for each class ? you will be told the code for your semester when you register) for the Course ID. There is also a link in the upper left control panel that takes you to the home page for MyMathLab. You should run MyMathLab Browser Check then do the Orientation Homework assignment. The Orientation assignment helps you learn how to enter answers in MyMathLab. It's also a good idea to look at the e-book and see how that works. The e-book includes many animated segments and on-line presentations on the material. The Homework problems are set up so that you have an unlimited number of times to try the problem until you get it right! So if you invest the time, you should always get a good score on the homework. WARNING! MyMathLab homeworks and tests have very strict deadlines. Plan ahead so you have plenty of time to complete an assignment and have time to deal with unexpected problems. V. Course Structure The structure of this course is pretty simple. The Course Schedule gives you the order the chapters will be covered and a timeline. Generally, you will read a chapter from the textbook, then complete the MyMathLab homework assignment for that chapter. After the first set of chapters is completed, there will be a midterm exam. This same process is repeated for the second half of the course. VI. Work Expectations Expect to do 1 chapter a week. It sounds like a lot but it's not too bad. Just start each chapter early so you can take the extra time if you need it. When you work on MyMathLab, give yourself plenty of time. You can come back and finish a MyMathLab assignment but that is not ideal. Plan to spend an hour or so for each Homework set. Remember, there are deadlines for the homework assignments to keep you on track. Plan your time carefully. Refer to the Course Schedule to pace yourself. Check the MyMathLab page frequently to see when new assignments are posted. VII. For Help in the Course Send me a text or call if you run into trouble. (My cell phone number is in the Instructor Info.) You can also e-mail me, but I will be checking e-mail infrequently over the summer! I know some of you taking this class are not in Burlington or have other responsibilities during the day. In that case, the "show a worked problem" button on the MyMathLab homework is a great resource. Also, click on the tutorials in the e-book to see problems worked out. I can also try to help via e-mail and you can phone me and we can work to try to clear up any confusion with the material. The podcasts are also really helpful. VIII. Podcasts I have created some podcasts to help you work through some of the harder topics. Check them out. It's like you're in my office and I'm showing you how to solve the problems. IX. Communication Policy I will be checking my e-mail about every other day. Feel free to call me. That's usually best for a summer course. Use my UVM e-mail address (Karla.Karstens@uvm.edu) if you have a question or concern. There is also an option to e-mail directly from Course Compass if you are having a question on a particular problem. Even though this is an on-line course, I am happy to meet with you if you have questions. And I can usually zero in on problems via e-mail or by phone if you are not in the Burlington area. If you have an emergency, my cell phone number is (802) 338-2590. Please do not call after 11:00 p.m. Check the announcements page frequently for changes and news once the class gets started.
40% online homework 30% Midterm 30% Final Exam
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