SYLLABUS MATH 1221—Finite Mathematics (ONLINE) Instructor: Dr. Lila F. Roberts Office: University Center 315 Email: [email protected] Office Phone: 678-­‐466-­‐4400 Course Web Page http://faculty.clayton.edu/lroberts9/spring2012 Monday Face-­‐to-­‐Face by appointment Office Hours: Tuesday Online—8:00pm-­‐9:00pm (unless otherwise announced) Wednesday Online—8:00pm-­‐9:00pm or by appointment Thursday Face to Face by appointment Other days/times by appointment. Please contact me by email to schedule an appointment. NOTE: Here are some dates that I will NOT be in the office, but in most cases I should have online availability by email and possibly chat and discussion. March 20-­‐24 April 11-­‐13 Other dates will be announced as necessary. Prerequisite: A grade of C or higher in MATH 1101 or MATH 1111 (or any other Area A mathematics course) Course Description: This course is a mathematical preparation for the understanding of various quantitative methods in modern management, information technology, and social sciences. Topics include: sets, logic and circuits, basic combinatorics including permutations and combinations, probability and probability distributions, systems of linear equations, matrix theory, and linear programming using a geometric approach. Additional topics that may be included are elementary statistical distributions, Markov chains, and game theory. Course Learning Outcomes: After successful completion of the course the student will be able to: 1. Solve systems of linear equations using various methods including matrices. 2. Construct and solve simple linear programming problems graphically. 3. Demonstrate mathematical reasoning ability with arguments and symbolic logic. 4. Apply basic concepts of set theory, combinatorics, and probability to practical problems. 5. Manipulate mathematical information, concepts, and thoughts in verbal, numeric, graphical and symbolic form while solving a variety of problems. 6. Use appropriate technology in the evaluation, analysis and synthesis of information in problem-­‐solving situations. Course Objectives: Students in this course will be able to: • Solve linear systems using the Echelon and Gauss-­‐Jordan Methods • Perform simple arithmetic operations involving matrices • Demonstrate how to find an inverse of a given matrix • Graph linear inequalities • Set up and solve linear programming problems graphically • Read and write logical statements in symbolic form • Construct and interpret truth tables • Analyze mathematical arguments and logical proofs • Utilize set notation • Draw Venn diagrams to interpret set information • Work with basic concepts of probability • Solve applications involving conditional probability • Solve applications using Bayes Theorem • Demonstrate the use of basic counting principles • Solve problems using permutations and combinations • Use a probability distribution to determine the expected value • Determine the probability of success for a binomial distribution Required Materials: • TEXT: Lial, Greenwell, Ritchey, Finite Mathematics, 9/E, Addison Wesley, 2008. You have a couple of options for purchasing the required textbook. Regardless of the option you choose, you will need the following Course ID to access the online course materials: roberts58844. Option 1: Purchase a hard copy of the textbook bundled with a MyMathLab access ID. This will also provide access in to the Course Compass online course and online textbook. This textbook bundle is available for purchase in the Clayton State bookstore. Option 2: Purchase the online-­‐only access into the course by going to https://register.pearsoncmg.com/reg/buy/coursebuy.jsp and enter the course ID. The cost of this online option is $82.00 (payment by credit card or PayPal. Online access does include an online version of the textbook.) REGARDLESS OF THE OPTION YOU CHOOSE, PLEASE USE YOUR OFFICIAL CLAYTON STATE EMAIL ADDRESS. I CANNOT COMMUNICATE WITH YOU REGARDING THE COURSE IF YOU USE ANOTHER EMAIL ADDRESS. • NOTEBOOK COMPUTER: Every Clayton State student is required to have ready access throughout the semester to a notebook computer that meets faculty-­‐approved hardware and software requirements for the student’s academic program. The full details of this policy can be found at •
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http://itpchoice.clayton.edu/. You will need to bring your computer to the on-­‐campus examinations. Standard Clayton State software can be installed at The Hub (http://thehub.clayton.edu). Please go to The Hub’s web site to get more information about setting up an appointment. OFFICIAL CLAYTON STATE UNIVERSITY EMAIL AND GEORGIA VIEW: All correspondence relative to this course will be communicated via email either through your official Clayton State email account or via Georgia View, or both. You may access Georgia View via the SWAN Portal. Information about this course will not be communicated via any other email account, not even as a reply so please get in the habit of using and checking your Clayton State email account. MATH SOFTWARE: Every effort is made to minimize your cost in this class. Thus, whenever possible free and/or open source software will be used. If you have familiarity with a graphing calculator such as TI-­‐84 or TI-­‐89, you may use a graphing calculator. Additionally, whenever possible, you will be able to use free online or installable resources for dynamic mathematics as well as a very powerful software package available to Clayton State students through a University System of Georgia Site License. These include: o Mathematica: Available for download. Watch your email for download information. o Wolfram|Alpha: http:// http://www.wolframalpha.com/ (apps are available for Android and iOS devices for a nominal cost) o Linear Algebra Toolkit: http://www.math.odu.edu/~bogacki/cgi-­‐
bin/lat.cgi (Developed by Dr. P. Bogacki at Old Dominion University) o Probability Calculator: http://stattrek.com/Tools/ProbabilityCalculator.aspx#kindsofp
roblems and others as announced. One free resource for Windows machines is Graph, which can be downloaded from http://www.padowan.dk/graph/. If you use a Macintosh computer, Graphing Calculator 3D is a free download from http://download.cnet.com/Graphing-­‐Calculator-­‐
3D/3000-­‐2053_4-­‐10896524.html. While the free version has some limitations, it has some features that may be useful for this class. o Equation Editor in Microsoft Word: Microsoft Word has an equation editor built in so that you can enter equations in your Word documents. When you have Word installed on your computer, make sure that the equation editor is installed with Word. o PDF Writer: There may be some times when you will be asked to submit work that you have generated by Word. When you need to do this, I will ask you to submit the document in pdf format. There are several free pdf writers that you can install on your computer. PDFCreator is one of those and you can download from http://sourceforge.net/projects/pdfcreator/. o Kahn Academy: There are a large number of video lessons on mathematical topics in the Kahn Academy (www.kahnacademy.org). I encourage you to make use of these as you need to. o iTunes U: There is a large number of video lessons on the mathematical topics we will cover in this course in iTunes U. Some of these lectures are presented by world renowned mathematicians. All of these are free. If you have an iPhone or iPad, there are a number of reasonably inexpensive applications that can be used as graphing calculators, matrix calculators, and symbolic mathematics. o MathStudio ($19.99) o Linear Program Plotter ($2.99) o PocketCAS Lite (Free) o Discrete Math Solver ($0.99) Course Content: (Tentative) Specific Assignments will be posted in MyMathLab and/or Georgia View 1. Chapter 2—Systems of Linear Equations and Matrices 2. Chapter 3—Linear Programming: The Graphical Approach 3. Chapter 6—Logic 4. Chapter 7—Sets and Probability 5. Chapter 8—Counting Principles; further Probability Topics Homework: It is important for you to realize that this course is not one where you will proceed at your own pace. Assignments will have a definite due date. Since all of your work is online, it is very important that you do not wait until the last minute to make a homework submission. Submissions will not be accepted after the assignment is closed. You will have weekly homework assignments. You should log in and work on your homework every day, however, the amount of time to do the homework will vary by individual. Homework assignments will be posted within the MyMathLab online course environment. Georgia View Maintenance: Like most online resources, there are times when Georgia View will not be available due to maintenance. Here is the tentative schedule for Spring 2012. GeorgiaVIEW Maintenance Schedule -­‐ Spring 2012 November 19, 2011 8:30 AM Maintenance Begins 10:00pm Maintenance Ends 7:00am Friday, January 13 Saturday, January 14 Friday, January 27 Saturday, January 28 Friday, February 10 Saturday, February 11 Friday, February 24 Saturday, February 25 Friday, March 9 Saturday, March 10 Friday, March 23 Saturday, March 24 Friday, April 6 Saturday, April 7 Friday, April 20 Saturday, April 21 Friday, May 4 Saturday, May 5 Resources: Within the MyMathLab online environment, there are several resources to assist you. The Multimedia Library contains a multimedia textbook, powerpoint slides, animations, and video lectures. Because you won’t be having any face-­‐to-­‐face lectures, you will need to make use of these resources in lieu of in-­‐class instruction. There will be both face-­‐to-­‐face office hours as well as online availability (chat, discussion). Other online resources are listed above. In addition to these resources, the Center for Academic Success (CAS) is located on the lower level of the library and staffed by support personnel with a background in mathematics. There are also audiotapes, videotapes, and software available in the Center for Academic Success. Go to http://adminservices.clayton.edu/cas for more information about the CAS and the services it provides. Class Wiki: The class wiki is hosted by wikispaces at the web address http://math1221s12.wikispaces.com. This is a private wiki and you will receive an invitation to join. When you receive your invitation, you will need to join and be admitted to the wiki. Evaluation: Your grade in this course will be determined by the following class activities and grading scale. Orientation Exercises 5% Tests (3) 15% Participation 10% Homework 30% Midterm Exam 20% Final Exam 20% Total: 100% Grading Scale: A 90-­‐100% B 80-­‐89% C 70-­‐79% D 60-­‐69% F < 60% Midterm Advisory Grade: By February 28, a midterm advisory grade, based upon your graded work up to that date, will be posted to your Duck record. The last day to withdraw from the course without academic penalty (grade of W) is March 4. Class Participation: The class participation grade will be based upon the amount of interaction students are engaged in for this online course. On at least a weekly basis, every student is expected to make significant contribution to the class by at least two of the methods listed below. There will also be some required class participation exercises. 1. Participate in the wiki (you will receive an invitation to join) 2. Post at least one meaningful response to messages on the MyMathLab discussion board posted by other students and the instructor. 3. Participate in online office hour chats. 4. Submitting an audio (or audio/video) solution to one of the homework problems. In addition, virtual classroom meetings may be called as the instructor deems necessary. Students will be expected to be engaged in these virtual classroom sessions if scheduled. The class participation component of your grade is subjective, so it is important that you show me that you are making a meaningful contribution to the course and that you are engaged learning. This is especially important in an online course. Missed Work: Homework assignments are open for one week. If you have a situation that makes it impossible for you to do an assignment by the due date, you must contact the instructor to provide a valid excuse and request that the assignment be reopened for you. You may make such a request only twice during the semester. If you have challenges that keep you from keeping up in the online class, you should consider withdrawing from the course. There are no make up provisions for quizzes and tests except in the case of extreme and documentable hardship. Important Dates: • Classes Begin: January 9 Online Orientation available on GA View • Martin Luther King Day: January 16 • Last day to complete online orientation: January 17 at 5pm • ON-­‐CAMPUS Midterm Exam:: February 24 6:30-­‐8:30pm UC-­‐312 • Midterm Grade Reporting: February 14-­‐February 28 • Last day to withdraw with grade of W: March 2 • Spring Break: March 3-­‐March 10 • Course and Instructor Evaluations: April 16-­‐April 30 • ON-­‐CAMPUS Final Exam: May 4 6:30-­‐8:30pm UC-­‐312 Attendance: Three face-­‐to-­‐face meetings (as announced above) are required. In order to be able to take the examinations, each student must present a valid photo ID card. Student Responsibilities: Students are expected to abide by the Clayton State Student Code of Conduct in the Clayton State University Student Handbook. Any student who violates conduct code regulations will face disciplinary action and/or University sanctions. Any instance of academic dishonesty will be dealt with according to written university policies. For information about Disability Services, contact the Director of Disability Services (Office of Disability Services, 255 Student Center) at 678-­‐466-­‐5445 or email [email protected]. NOTE: Sometimes changes to the syllabus are necessary. If this happens, all changes will be communicated by email and by communication on the class wiki, Georgia View, and MyMathLab.