MATHEMATICS 2270Introduction to Linear AlgebraFall semester 2007Time: Daily except Thursday, 9:40am JTB 120.The Tuesday class begins at 9:30am with an informal 10-minute question and answer sessionabout exercises. Tuesday class may end 10 minutes earlier, or end in the computer lab 115 LCB,across The Circle.Instructor: Professor Grant B. Gustafson1, JWB 113, 581-6879.Office Hours: JWB 113, MWF 8:45-9:15am. Other times, normally after 3pm, will appear onmy door card. Fr om 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, 3rd edition, by Ot to Bretcher, Prentice-Hall 2005 (therequired text).Student Solution Manual, f or Ot to Bretcher’s text Linear Algebra with Applications, 3rdedition.WWW documents for 2270, by GB Gustafson, at web site www.math.utah.edu/~gustafso.All are pdf or text documents tha t can be printed from mozilla firefox or MS explorerweb browsers.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. In addition, background is required in planar curves, velocity andacceleration vectors f rom 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 building LCB.Persons without computer training and no maple experience can survive for the fi rst three weekswith a graph ing calculator and Microsoft’s Excel or the MathWork’s matlab. Free software existsfor PC Intel hardware to duplicate most of matlab’s fun ctionality. Only matlab has a licensedmaple engine, and this is the main reason why matlab provides a route through the course, withoutlearning a lot of maple details.1Pronunciation: In the phraseGust of Wind change Wind to SunTutoringThe Math Department Tutoring Center is located in LCB, and it is open for free tutoring 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 mathtutors 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 majors.Chapters 1-9 in the Bretcher text plus class notes and www do cu ments will make u p the coursematerial. If you study in isolation, then please k now that some topics are enriched in class. Yourgrade in the course may 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, a bout 100 scores.Three computer projects form the minor part of the dailies. Each project is counted li keseveral textbook problems.About 8 of of the 125 total textbook and maple problems are dropped to make 125 requireditems.Three written midterm examinations.Final exam. This in-class 2-hour examination counts as two addit ional 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 Tuesday 9:30am. An additional exam time is scheduled for the same day at 3pm in 113jwb(my office, 581-6879), to cover people who work, or have baby-sitting limits, or simply miss theTuesday 9:30am exam. Please notify me in advance of the exam date, that you will miss the exam.Email [email protected] is best, phone 581-6879 works too. Please know that once youmiss the exam, the crisis has ended, and recovery is the next plan. Please respond ASAP.Hand-written Dailies:There will be 133 dailies due during the semester, including textbook problems and f our maplelabs. They will be graded by G.B. Gustafson, only.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. Du ring 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.2If 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. Correction of record s,when r equ ired, can be made by email communication.Homework, computer labs, midterms and finalTextbook problemsThose problems to be submitted 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 prob lems appearonly on the web site. They are dynamically updated to reflect the reality of what was discussedin class. Generally, problems are submitted sh ortly after class discussion.Students are requested to complete each textbook problem and submit their work in their ownhandwriting.Homework problems are s ubmitted one problem per package with your name, class time and aproblem label. Please w rite the class time9:40am and the problem label nea r yourname, e.g., wr ite problem label1.2-5 for problem 5 in section 1.2 of Bretcher’s textb ook.There are certain rules for writing up the textbook problems. A full accounting of the formatsuggestions contributed by students of 2250 appears on the internet course page as format forsubmitted work. Kindly app ly the ideas therein to your written work. It is not a requirementthat you follow any advice, but rather, a suggestion that you may rob successful ideas from thedocument aforementioned.Computer projectsThere will be four computer projects assigned during the semester, related to the classroommaterial. Each project counts th e 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