MATHEMATICS 2280Introduction to Differential EquationsSpring Semester 2009Time: 8:35am MTWF in LCB 215Instructor: Professor Grant B. Gustafson1, JWB 113, 581-6879.Office Hours: JWB 113, MTWF 9:40-10:30am and after 3pm by appointment. Other times willappear on my door card and on the internet page below, door card link.Telephone: 581-6879. Please use email whenever possible.Email and web site: [email protected] http://www.math.utah.edu/~gustafso/Tutoring: The Math Department Tutoring Center is located in LCB, and it is open for freetutoring from 8 a.m. to 8 p.m. on M-Th, and from 8 a.m. to 6 p.m. on Friday. Some, but not allof the math tutors welcome questions from Math 2280 students. To see the times and specialitiesof various tutors, consult the web address www.math.utah.edu/ugrad/tutoring.html.Texts:Differential Equations and Boundary Value Problems, Computing and Modeling, 4E,2008, by C.Henry Edwards and David E. Penney. Book and student manual, ISBN-10:0131561073 or ISBN-13: 9780131561076.The 3rd edition of this book contain similar material, but there have been major edits since 2005.Patchwork would be needed to use the older 3rd edition.Student Solution Manual, for the Edwards-Penney text Differential Equations and Bound-ary Value Problems, 4th edition. It is normally offered as a package with the textbook.WWW documents for 2280, by GB Gustafson, at web site www.math.utah.edu/~gustafso/.All are pdf or text documents that can be printed from Netscape, Mozilla Thunderbirdor MS explorer web browsers.Prerequisites:Math 1210 and 1220 (Calculus I and II) or the equivalent and Math 2270 (Linear Algebra).The first two courses are first-year Calculus, with a very brief introduction to linear differentialequations. The old Math courses 111-112-113 of 1997-98 fulfill the requirement. In addition,background is required in planar curves, line integrals, Divergence Theorem, velocity and accel-eration vectors from Physics 2210 or Math 2210 (Calculus III), or their equivalent courses. Usedexplicitly throughout the course are partial derivatives, vectors and matrices from Vector Analysisand Linear Algebra.A passive knowledge of maple is assumed. The entire course can be done without maple, but allcomputer code examples are supplied in maple only.Persons without the passive knowledge of maple and unix may attend one of the tutorials on thesubject offered during the first two weeks of the term. The instructor for these tutorials is AngieGardiner, 585-9478, [email protected]. The dates and times are available at the tutoring1Pronunciation: In the phrase Gust of Wind change Wind to Sunweb address cited above. Free tutoring is available in the LCB tutoring center 8:00 a.m. to 8:00p.m. daily except until 6:00pm on Friday, closed weekends and semester holidays.Course content:This course is an introduction to differential equations for mathematics majors and science majors.All chapters of the Edwards-Penney text plus class and web notes will make up the course material.Grading:Final grades will be based on:Textbook problems and maple problems, call dailies, 158 scores.The dailies include six computer projects.Written midterm examinations (3).An in-class 2-hour final examination that counts as two additional midterm scores.Written In-Class Exams:There are three (3) midterm exams. There is a final exam (in-class, 2 hours) as scheduled by theuniversity. The midterm and final exams are graded by G.B. Gustafson.Hand-written Dailies:There will be 158 dailies due during the semester, including textbook problems and maple labs.They will be graded by a staff of readers employed by Angie Gardiner. The 158 dailies, includingmaple labs, will be checked checked by a grader employed by Angie Gardiner (score 100 each).The other assigned problems will not be graded, but the class effort will be to contribute completesolutions, to be checked by class members, and eventually published at the web site.Textbook problems:Textbook problems to be submitted for grading are listed on the gradesheet for the course [alsoat the end of this document]. Tentative dates are set for each problem set. Visit the web sitefor extra copies. The actual due dates for problems appear only on the web site and they aredynamically updated to reflect the reality of what was discussed in class. Generally, problemsare submitted shortly after they are discussed in class, and hopefully on the date printed on thegradesheet.All students must complete each textbook problem and submit their work in their own handwrit-ing. Collaboration is encouraged.There are certain rules or suggestions for writing up the textbook problems. A full accountingof the format rules contributed by Utah students appears on the internet course page as formatfor submitted work. Kindly apply the ideas therein to your written work, both textbook problemsand take-home midterm exam problems.In-class midterm exam problems:A midterm sample in-class exam is supplied a few days before the in-class exam. Exam problemsare modeled after those already solved on the take-home portion of the exam.Books, tables, notes and calculators are not allowed on exam day.An in-class Midterm exam has different presentation rules, and none of the textbook problemrules apply in this case. Basically, the in-class exam is a first draft.2Computer projects:There will be a few computer projects assigned during the semester, related to the classroommaterial. They will be written by hand and use in addition the software package mapleas acomputer algebra assist. There is a Math Department Computer Lab in building LCB at whichregistered students automatically own accounts. Drop-in tutoring in the computer lab in buildingLCB starts the second week of the semester.Final exam:Two hours are reserved for this written exam. As published by the university, the final exam forthe 8:35 MTWF class is Wednesday May 6, 7:30-10am in the regular classroom.The final exam is comprehensive. About one hour of the exam covers the last three weeks of thecourse. The remaining time covers all topics that appeared on the previous three midterm exams.No notes, calculators, tables, books or aids of any kind are allowed on the final exam. Pleasebring pencils and eraser. Paper will be supplied.Withdrawal:It is the Math Department policy, and mine as well, to grant any withdrawal request until theUniversity deadline. This promise also means that such a withdrawal requires no explanation.Withdrawals are always initiated by the