Math 334 -5 Ordinary Differential Equations Winter Semester 2007 Professor: Vianey Villamizar Class: 11:00 - 11:50 a.m. MWF 275 MARB Office: 366 TMCB Email/Phone: [email protected] / 422-1754 Web page: www.math.byu.edu/~vianey Office Hours: Monday 5:00 – 6:00 p.m. (office), Wednesday 5:00-6:30 p.m. Problem session at 368 MARB Friday 1:30-2:30 p.m. (office) Grader: Michael Merkley, E-mail: [email protected] or 801-380-2715 Text: Elementary Differential Equations, 8th Edition, Boyce - DiPrima, Wiley 2005. Week #Date Sections Comments 1 Jan 8 – Jan 12 1.1, 1.2, 1.3-2.1 2 Jan 15 – Jan 19 2.2, 2.3(I) Quiz 1, Testing Center Jan 18 - 19 (Th-Fr) Monday, Jan 15: Martin Luther King Holiday 3 Jan 22 – Jan 26 2.3(II), 2.4, 2.5 Monday, January 22: Last day to drop the class w/o W 4 Jan 29 – Feb 2 2.6(I), 2.6(II), 2.7 Quiz 2, Testing Center Feb 1 - 2 (Th-Fr) 5 Feb 5 – Feb 9 2.8, 3.1, 3.2(I) 6 Feb 12 – Feb 16 3.2(II), 3.3, 3.4 Quiz 3, Testing Center Feb 15 – 16 (Th-Fr) 7 Feb 19 – Feb 23 3.5, 4.1-4.2, 3.6 Monday, February 19: Presidents Day Holiday Tuesday, February 20: Monday Instruction 8 Feb 26 – Mar 2 4.3,/3.7, 4.4/, 3.8(I) Midterm Testing Center Mar 1 - 3 (Th-Sat) Review Session Wed Feb 28 5:00-6:30 p.m.9 Mar 5 – Mar 9 3.8(II), 3.9, 5.1-5.2 10 Mar 12 – Mar 16 5.3, 54 , 5.5 Quiz 4, Testing Center Mar 15 - 16 (Th-Fr) 11 Mar 19 – Mar 23 5.6-5.7, 6.1, 6.2 12 Mar 26 – Mar 30 6.3, 6.4, 6.5 Quiz 5, Testing Center Mar 29 - 30 (Th-Fr) 13 Apr 2 – Apr 6 6.6, 7.1-7.4, 7.5 14 Apr 9 – Apr 13 7.6, 7.8, 7.7 Quiz 6, Testing Center Apr 12 – Apr 13 (Th-Fr) 15 Apr 16 – Apr 21 Review, Wed, Th Reading days Final Exam: Saturday April 21, 11:00-2:00 p.m. in our regular classroom Review Session Wed Apr 18 2:00-4:00 p.m. Objectives: To provide the students with a sound and accurate knowledge of the elementary theory of ordinary differential equations. Physical problems have motivated the development of much of mathematics, and this is especially true of differential equations. Many fundamental problems in science, engineering, and other areas as economics are described by differential equations and more and more problems of new and emerging technologies are also described by differential equations. The learning of differential equations can be greatly enhanced by use of Mathematical software, such as MAPLE. I will include MAPLE demonstrations in most of my classes. You can find the corresponding worksheets on my web page. I highly recommend you to get some expertise in its use and syntaxes. Many of the problems are best approached with computational assistance. I believe that my role as your instructor is to help and assist you in the process of learning mathematics. I will do my best to fulfill this role. I know that we will enjoy this class as we go along by making a consistent effort throughout the semester. My best advice to you is found in D&C 4:2 replacing the first line by …. O ye that embark in Math 334, see that ye work with all …. Homework: Homework corresponding to two previous class period will be collected at the end of each class. You are strongly encouraged to work on homework problems everyday. You should be willing to put in at least two to three hours outside the classroom for each hour of class. I expect that you do not work on your homework during the class period. Solutions to exercises should be clearly written and adequately explained. In other words, it is insufficient just to write down the answer.Late homework will not be accepted. To make up for this your lowest four homework grades will be dropped. This policy will take care of any extraordinary circumstances as for example a sickness, a wedding, and others. Discussion of homework assignments is allowed, but you should keep in mind that homework is an individual work. Homework Format (PLEASE ADHERE TO THE FOLLOWING HOMEWORK FORMAT): Use one side only of standard letter-sized paper. Put your name at the top of each sheet. Keep problems in order, and label each problem with its number and page. Place only one problem in any horizontal space; visually separate consecutive problems by drawing a line between them entirely across the page. If the problem has a numerical answer, highlight it in some way. If the answer to a problem involves a sequence of logical steps, set them clearly. Use correct grammar and complete sentences. To submit homework, stack the sheets in order and fold the stack lengthwise to form a “book” with the back of the last sheet on the outside. On the front of the “book,” write your name, your Math 334 section, and the section of the text from which these problems are taken. Each homework sets should contain problems from only one section of the text. Homework problems to be graded will be chosen among the whole set of problems. Incomplete homework will receive partial credit according to the amount of problems worked out. Exams: The Midterm exam will be based on the material covered until the previous Monday. The final exam will be comprehensive. The Midterm exam will be given in the testing center. I expect that most students will finish it in at most three hours. However, the time limit will be up to four hours. Only basic scientific calculators (no graphic or symbolic ones) will be allowed in all exams. Also, a one-sided card of notes, no larger than 8” by 5”, will be permitted in the midterm and final exams. No books and no other notes will be allowed. Every other week quizzes one hour and a half long (six in total) will be given in the testing center on Fridays. The final quizzes grade will be based on your best five quiz grades. Make up exams and quizzes cannot be arranged except in case of an emergency or absence due to official university business. The final exam will be in our regular classroom with a limit of three hours. Exam and quizzes dates will be strictly enforced. The questions will be similar to those discussed in class, or those assigned as homework, but some of them will require a good understanding of the concepts and techniques. The best way to prepare for the exams is to go over the homework problems and the examples worked in class (they constitute your best study guide) and then try to solve related problems that you haven’t seen before. If you can reach the point where you can do fresh problems without help in all sections,