Course Information Math 3350–D01 Fall 2013 August 26, 2013 Contact Information: Instructor: Prof. Lance D. Drager. Office: Math Building, Room 236. Office Phone: (806)834-8161. Fax: (806)742-1112. Direct it to me on the cover sheet. Math Department Office: (806)742-2566. Email: lance.drager@ttu.edu Mailing Address: Prof. Lance Drager, Department of Mathematics and Statistics, Texas Tech University, Box 41041, Lubbock, TX 79409, USA. If you let the office phone ring long enough, you’ll get me or a voice mail system you can leave a message on. Course materials will sometimes be posted on my web page, which is http: //www.math.ttu.edu/~drager. Announcements and Class Forum: Of course, this is a distance learning course, so we may not be seeing each other face to face. Those who are in the Lubbock area are cordially invited to visit with me at my office. This term we will be using Piazza for class discussion. The system is highly catered to getting you help quickly and efficiently from classmates and myself. Rather than emailing questions to the teaching staff, I encourage you to post your questions on Piazza. If you have any problems or feedback for the developers, email team@piazza.com. I will look at our class discussions and my private messages on Piazza and check my TTU email for class messages at least once each business day. Find our class page at:https://piazza.com/ttu/fall2013/math3350/home I will also post class announcements (including assignments) on Piazza, so check it to see what is happening. 1 If your message is not of general interest to the class, or you want to keep it private, send it to me privately on Piazza or use my TTU email (email address above). In Piazza, there is a formula editor for entering mathematical formulas in LATEX. This is the standard system for doing math on computers in science and engineering, so it’s worth learning about it. The Piazza help has a link to a tutorial, and there are many resources for LATEX on the web (we only need to look at how to do formulas, not how to do a whole document). Alternatively, if you search for online equation editors on the web, you’ll find WYSIWYG editors with a mouse/menu interface that produce the LATEX code for the formula, which you can then cut and paste into Piazza (put it between double dollar signs: $$ ... $$). Some of these editors also produce PNG or GIF files you can paste into email, if you need to do that. (If you use Thunderbird, look for LATEX plugins.) I can’t really tell you which editor is the best. This is a topic the class may want to discuss. Webwork style ascii attempts at formulas are okay, as long as their meaning is clear. How the Course Will be Run: I will post reading assignments from the book on Piazza. After reading a section, it’s good to practice on a few problems from the end of section. We can discuss questions about the material or how to work example problems on Piazza. I will occasionally post videos I’ve made, notes I’ve written, or links to materials on the web, with explanations I think will be beneficial. I will announce these and post links on Piazza, and I will post the links on my website (i.e., the Texas Tech site). I may post announcements of when the videos will be made, if anyone in the Lubbock area wishes to attend. If there are people there to ask questions, it will improve the video. There will be online homework assignments using the Webwork system. I will make announcements on Piazza when I put these up. I’ll give you a link to the homework site when it is setup. Discussions of the homework problems are legal, but (of course) you won’t have the benefit of the learning experience if you just copy the answers from somewhere. There will be two proctored exams during the semester and a proctored final. You must take these exams in the authorized manner. More information on that below. There will be a “takehome exam” (i.e., unproctored, extended time) near the end of the semester. You can just handwrite it. You can send it to me by scanning it and emailing the file, fax, surface mail or courier. Exam Proctoring: You will need to arrange to have your exams proctored by an authorized person, which means one of the following: 1. An education officer or librarian at a community college, university, elementary or secondary school. 2. A testing administrator at a college, university or private testing service. 2 3. A military Learning Center or military officer of a higher rank the abovenamed student. There is a PDF file on my website containing a form to be filled out by the student authorized person an returned to me by surface mail. Please arrange this as soon as possible, so you will be prepared. There may be a charge for these services. There is a link on my website to a page with contact information for some know testing centers. I’ll add to it as people discover more centers. If you’re looking for a center, a University, College or Community College is a good bet. Return of Papers: I will plan on returning graded exams by scanning them and emailing you the file. If you want a hard copy, proceed as follows: If you can conveniently come by my office, plan to pick it up in person. If you need it sent by surface mail, send me an email to that effect, with a mailing address (since it might be different than the one on file with TTU). I will, as usual, retain the final exam papers for one semester. I can send, or give you, a copy. Office Hours: Those who are able are encouraged to come to my office for help. My office hours are approximately M–F 2:00–4:00. You can come by outside of formal office hours; I’ll usually have time to talk to you. Please feel free to come by if you need help. Other Sources of Help: The Mathematics Department Office has a list of people who offer tutoring for pay. Forming informal study groups with other students can be very helpful. Text: The text is Dennis G. Zill and Warren S. Wright, Advanced Engineering Mathematics, Fifth Edition, Jones and Bartlett, Boston, 2006. The sections to be covered are 1.1–1.2, 2.1–2.8, 3.1–3.6, 3.8, 4.1–4.5, 5.1,5.3. Learning Outcomes: Math 3350 students will study topics of differential equations, their solutions, and applications to physical sciences and engineering. In particular the students will learn to: • recognize a differential equation and its solution • compute solutions of first order differential equations • compute solutions of higher order differential equations • use Laplace transforms • the fundamental properties of power series, and how to use them to solve linear differential equations Calculator: A symbolic calculator like the TI-89 or TI Voyage 200 is necessary and required on exams. Assessment of Learning Outcomes: The assessment of student’s mastery of the skills and concepts as specified in the expected learning outcomes will occur, with appropriate course grades assigned, as follows: 3 1. 2 proctored exams. 2. 1 Takehome exam. 3. The proctored final exam. 4. Exam corrections. 5. Homework. The homework will be done using the Webwork online system. The proctored exams, takehome, and the final exam will all be equally weighted. I will drop the lowest of these four scores (which could be the score on the final). If you are satisfied with your grades on the three in-class exams, you can skip the final and let that be the dropped exam grade. The homework will count for 20% of the final grade and Exam corrections will count for 15% of the final grade. For each exam, I will determine a grade range for the A’s, B’s, C’s, D’s and F’s. I will then linearly resale the grades in the A range to the interval [90, 100], the grades in the B range will be rescaled to the interval [80, 89], and so forth. At the end of the course, I will average the grades and assign letter grades with cutoffs 90% for A, 80% for B, 70% for C and 60% for D; I might lower these a little, but not much. Thus, with this system, you can determine your standing at any time. For example, consider a hypothetical exam with the raw scores as in Table 1. The grade ranges might hypothetically be chosen as indicated. The numerical scores would then be rescaled as indicated in the table, using the formulas on the right and then rounding to the nearest point. The grade rescaling function would be as graphed in Figure 1. Final Exam: The final exam will be scheduled during the regular Texas Tech final exam period. I will make a time when I will proctor the exam for those who can make it to Lubbock easily. If you decide not to take the final, please email me to notify me of that. Makeups: If you cannot take an exam within the scheduled time and convince me that your reason was legitimate, I will give a makeup exam. Any late homework will only be accepted with a serious, legitimate excuse. Class Schedule: The tentative schedule for the class is as follows: August 26–28 Chapter 1, Introduction to Differential Equations August 30–Sept. 18 Chapter 2, First-order Differential Equations Sept. 21 Exam 1 Sept. 20–Oct. 9 Chapter 3, Higher-Order Differential Equations Oct. 14 Exam 2 Oct. 11–Oct. 28 Chapter 4, The Laplace Transform 4 A B C D F Raw (x) 95 92 86 83 82 78 75 73 72 (cut off at70) 66 64 61 58 55 50 48 47 40 Rescaled (y) 96 94 90 86 85 80 76 74 73 67 66 64 62 60 48 52 451 44 y= 100 − 90 (x − 86) + 90 100 − 86 y= 90 − 80 (x − 78) + 80 86 − 78 y= 80 − 70 (x − 70) + 70 78 − 70 y= 70 − 60 (x − 55) + 60 70 − 55 y= 60 x 55 Table 1: Grade rescaling Oct. 30–Nov. 1 Chapter 5, Series Solutions of Linear Differential Equations Nov. 18 Exam 3 posted. Nov. 4–Dec. 4 Extra time or special topics Nov. 9 Date of Final Exam? (To be discussed with class). If these dates are changed (I’ll bet we run behind schedule), the changes will be discussed in class and will appear on the calendar on my website. However, this document will not be changed. Homework on the Web: The homework will be done on the world wide web using the Webwork system. There will be a link to the homework site on my website and it will be announced on Piazza. Your username is your eraider name. The initial password is your Id number (starts with R). Change the password after you log in. Remember, you are responsible for all material covered in the book and videos and all announcements made on Piazza. Formative Assessment: Continuous formative assessment of the progress of the course will occur via ongoing communication between the instructor and the students. To this end, all students are encouraged to ask questions during class and to seek the instructor’s help out of class when needed. Other activities in support of student-instructor communication will include: practice exams 5 and quizzes, review of homework, and personal interviews with students doing poorly on work assigned at the beginning of the course. Accommodations for Disabilities: Any student who, because of a disability, may require special arrangements in order to meet course requirements should contact the instructor as soon as possible to make necessary accommodations. Students should present appropriate verification from Disabled Student Services, Dean of Students Office (AccessTECH). No requirement exists that accommodations be made prior to completion of this approved University process. Religious Holy Days: A student may be absent from class for a religious holy day, as legally defined, and will be allowed to make up any missed examination or assignment within a reasonable time after the absence. See http://www.depts. ttu.edu/officialpublications/catalog/_AcademicsRegulations.php Academic Misconduct: It is the aim of the faculty of Texas Tech University to foster a spirit of complete honesty and a high standard of integrity. The attempt of students to present as their own work any work that they have not honestly preformed is regarded by the faculty and administration as a serious offense and renders the offenders liable to serious consequences, possibly suspension. For more information, and a description of what is considered to be misconduct, see http://www.depts.ttu.edu/officialpublications/catalog/_AcademicsRegulations. php Civility in the Classroom: Students are expected to assist in maintaining a classroom environment that is conducive to learning. In order to assure that all students have the opportunity to gain from time spent in class, unless otherwise approved by the instructor, students are prohibited from engaging in any other form of distraction. Inappropriate behavior in the classroom shall result, minimally, in a request to leave class. For more information, see http://www.depts.ttu.edu/officialpublications/ catalog/_AcademicsRegulations.php 6 100 90 rescaled score 80 70 60 50 40 40 50 60 70 raw score 80 90 100 Figure 1: Graph of the grade rescaling function 7