MS 344 DIFFERENTIAL EQUATIONS SPRING 2014 Instructor: Jeff Dodd, Ph.D., Professor of Mathematics Office: 143 Ayers Hall Office Phone: 782-5112 Email: jdodd@jsu.edu Web Page: http://mcis.jsu.edu/faculty/jdodd Office hours: Monday and Wednesday: 9:45 - 11:15 AM; Tuesday and Thursday: 8:15 - 9:15 AM and 10:45 - 11:45 AM; Friday: 9:45 AM - 12:45 PM. These office hours are times when I will usually be in and around my office. You can also see me by making an appointment (by telephone, by email, or in class) for some mutually convenient time. Finally, you are welcome to stop by my office at any time even if you do not have an appointment; I will always be happy to talk to you as long as I am not tied up with something. If all else fails, you are welcome to ask me questions any time of day or night by email. I check my email frequently, at work and at home, and I don’t mind getting questions this way! Please do not hesitate to talk to me. I am available. I am here to help you. Text: Ordinary Differential Equations, by Morris Tenenbaum and Harry Pollard (Dover, 1985). Online References: Paul’s Online Math Notes: Differential Equations, by Paul Dawkins: http://tutorial.math.lamar.edu/Classes/DE/DE.aspx MIT Open Courseware: Differential Equation, by Haynes Miller, Jeremy Orloff, and John Lewis http://ocw.mit.edu/courses/mathematics/18-03sc-differential-equations-fall-2011/ Software: I will refer you to a free program called Winplot for some graphical assistance. It can be found here: http://math.exeter.edu/rparris/winplot.html POLICIES (a) Attendance: Because this is an intense course which introduces ideas and ways of thinking which will be new to you, I urge you not to miss ANY classes unless it is absolutely necessary or unavoidable. You are responsible for keeping up with whatever transpires in class even if you are not present, including all material covered, assignments given, and any changes in plans or schedules announced. Therefore, if you must miss a class, contact me (or a reliable classmate) as soon as possible to find out what you missed. (b) Grading: Your course grade will be determined by your scores on a set of three midterm examinations, and a comprehensive final examination. Each examination will be graded out of 100 points. Your final grade will be calculated using a scale of 450 points as follows: 200 points: 2 midterm examination scores 150 points: 1.5 × final examination score 350 points: total. Your final examination score will replace one, two, or even all three of your midterm examination scores, including scores of zero on examinations which you miss for any reason, if it is to your advantage. Therefore no makeup examinations will be given for midterm examinations, because the final exam effectively acts as a makeup for any midterm exams that you might miss. Note: You must take the final exam to receive credit for the course. If you miss the final exam for any reason other than illness, a serious family emergency, or unforeseeable circumstances beyond your control that physically prevent you from attending the final exam, you will automatically receive an F in the course. You will be allowed to make up a missed final exam only if you can provide evidence that you missed it for one of these reasons. The final exam is scheduled for Tuesday, April 22, 8:00 - 10:00 AM. Course grades will be determined by: A 315 - 350 (90%), B 280 - 314 (80%), C 245 - 279 (70%), D 210 - 244 (60%), F below 210 (less than 60%). These cutoffs may be adjusted at my discretion. Individual midterm exam scores may be “curved” at my discretion. But the final exam score will not be adjusted in any way. IMPORTANT DATES The last day to drop this class (or withdraw from all classes) without academic penalty is March 14 and the last day to drop this class passing (or withdraw from all classes passing) is April 4. THE MATERIAL When the language of calculus is used to describe geometric, physical, chemical, biological, economic, social, and other systems and processes, the result is often phrased in terms of differential equations. Thus an understanding of differential equations is critically important to understanding how mathematics is applied in these many different fields of study. In addition, the study of differential equations for their own sake is a beautiful and fascinating area of mathematics. Because we will be using calculus extensively, it would be a good idea to have a calculus book handy as you read the text and work on the problems. The material will be interesting, but it will involve many new ideas which will take time and effort to master. You will have to work on this course every day. HOMEWORK ASSIGNMENTS There will be homework every day. The homework assignments will be given in class as the material warrants. It is your responsibility to discipline yourself to keep up with the homework. If you miss a class, it is your responsibility to find out what assignments you may have missed. The homework assignments will include problems from the text and may include other problems as well. I consider all homework problems to be part of the course and therefore fair game for exam questions. In fact, the homework assignments are the heart and soul of the course. Do them as soon as possible. Homework will not be regularly collected or graded, but occasionally I may specify certain homework problems to be turned in for a grade. (These would count as part of a midterm exam grade.) I plan for considerable class time to be devoted to discussing the homework. I encourage you to ask about homework both in class and individually. It is very important for you to keep up with the homework and to seek help if you need it. Work regularly with other students; you will accomplish more in less time with less frustration. Get help from me or from your classmates if you need it. This course moves quickly; do not get behind!