MATHEMATICS 2270Introduction to Linear AlgebraSpring semester 2007Time: Tu-Th 4:20–6:00pm JTB 130Instructor: Professor Grant B. Gustafson1, JWB 113, 581-6879.Office Hours: J WB 113, MWF 8:45-10:15am, Tu-Th 3:15-4:15 Other times will appear on mydoor card. From computers, read the door card link at the course web site.Telephone: 581-6879. Please use email whenever possible.Email and web site: [email protected] http://www.math.utah.edu/~gustafso/Texts:Linear Algebra with Applications, 2nd edition, by Otto Bretcher, Prentice-Hall 2001 (therequired text).Student Solution Manual, for Otto Bretcher’s text Linear Algebra with Applications, 2ndedition.WWW documents for 2270, by GB Gustafson, at web site www.math.utah.edu/~gustafso.All are pdf or text documents that can be printed from mozilla or MS explorer webbrowsers.PrerequisitesMath 1210 and 1220 or the equivalent (Calculus I and II). This is first-year C alculus, with avery brief introduction to linear differential equations. The old Math courses 111-112-113 of1997-98 fulfill the requirement. I n addition, background is required in planar curves, velocity andacceleration vectors from Physics 2210 or Math 2210 (Calculus III), or their equivalent courses.A passive knowledge of maple is assumed. Persons without the passive knowledge of maple andunix may attend one of the tutorials on the subject offered during the first two weeks of the term.The instructor for these tutorials is Angie Gardiner, 585-9478, [email protected]. Angie’sweb page is www.math.utah.edu/ugrad/tutoring.html. Her office is MC 155A in bu ilding LCB.Persons without computer training and no maple experience can survive for the first three weekswith a graphin g calculator and Microsoft’s Excel or the MathWork’s matlab. Free software existsfor PC Intel hardware to duplicate most of matlab’s functionality. Only matlab h as a licensedmaple engine, and this is the main reason why matlab provides a route through the course, withoutlearning a lot of maple details.TutoringThe Math Department Tutoring Center is located in LCB, and it is open for free tu toring from8 a.m. to 8 p.m. on M-Th, and from 8 a.m. to 6 p.m. on Friday. Some, but not all of the math1Pronunciation: In the phraseGust of Wind change Wind to Suntutors welcome questions from Math 2270 students. To see the times and specialities of varioustutors, consult the web address www.math.utah.edu/ugrad/tutoring.html.Course material and requirementsThis course is an introduction to linear algebra for mathematics majors and science maj ors .Chapters 1-9 in the Bretcher text plus class notes an d www docum ents will make up the coursematerial. If you study in isolation, then please know that some topics are enriched in class. Yourgrade in the course m ay be reduced by isolation, because the enriched material is tested on exams.Grading:Final grades will be based on:Textbook problems, the major part of the dailies, about 132 scores.Four computer projects form the minor part of the dailies. Each project is counted li keseveral textbook problems, for a total of 11 scores, making 132+11=143 dail ies. About 8of these are dropped to make a total of 135.Three written midterm examinations.Final exam. This in-class 2-hour examination counts as two additional midterm scores.Written In-Class Exams:There are three (3) midterm exams. There is a 2-hour in-class final exam as scheduled by the uni-versity. The midterm and final exams are graded by G.B. Gustafson. These exams are scheduledfor Wednesday 4:30pm. An additional exam time is s cheduled for the next day at 3pm in 113jwb(my office, 581-6879), to cover people who work, or have baby-sitting limits, or are simply ill andmiss the Wednesday exam. Please notify me in advance of the exam date, that you will missthe Wednesday exam and take it the next day. Email [email protected] is best, phone581-6879 works too. Please know that once you miss the exam, the crisis has ended, and recoveryis the next plan. Please respond ASAP.Hand-written Dailies:There will be 143 dailies due during the semester, including textbook problems and four maplelabs. They will be graded in part by a staff of readers employed by Angie Gardiner.Records:Accounting of exams and the dailies is in itially on paper and ultimately by excel compu terrecords. The electronic records are web-based, with keys replacing names. During the course, thecurrently available electronic record is printed and distributed in class like returned homework.This usually happens about the last day of class or shortly thereafter. Electronic records areavailable later, on the web.If you ask for record information before it is electronic, then the request involves 10-20 minutes ofmy time, to retrieve it from p aper records. Please keep your own records. Corr ection of records,when required, can be made by email communication.2Homework, computer labs, midterms and finalTextbook problemsThose problems to be s ubmitted for grading are listed on the gradesheet for the course and alsoat the end of the syllabus. Visit the web site for extra copies. The due dates for problems appearonly on the web site. They are dynamically updated to reflect the reality of what was discussedin class. Generally, problems are submitted shortly after class discussion.Students are requested to complete each textbook problem and submit their work in their ownhandwriting.Homework problems are submitted one problem per package with you r name, class time and aproblem label. Please write the class time 4:20pm and the problem label near yourname, e.g., write problem label1.2-5 for problem 5 in section 1.2 of Bretcher’s textbook.There are certain rules for writing up the textbook problems. A full accou nting of the formatsuggestions contributed by students of 2250 appears on the internet course page as format forsubmitted work. Kindly apply the ideas therein to your written work. It is not a requirementthat you follow any advice, but rather, a suggestion that you may rob s uccessf ul ideas from thedocument aforementioned.Computer projectsThere will be four computer projects assigned during the semester, related to the classroommaterial. E ach project counts the same as 2 or 3 daily problems from the textbook, for a total of11 scores on the dailies. They will be written by hand and use the software package maple.Packaging rules for homework problems apply to maple labs as well.There is a Math Department Computer Lab in building LCB at which