MATHEMATICS 2270Introduction to Linear AlgebraSpring Semester 2010Time: Tuesday–Thursday, 4:35-6:15pm, JTB 130Instructor: Professor Grant B. Gustafson1, JWB 113, 801-581-6879.Office Hours: JWB 113, TH 3:30-4:20pm. Other times will appear on my door card. Fromcomputers, read the door card link at the course web site below.Telephone: 801-581-6879. Please use email whenever possible.Email:Web Site: http://www.math.utah.edu/~gustafso/Texts:Otto Bretscher, Linear Algebra with Applications, Fourth Edition, by Otto Bretscher.ISBN=978-13-600926-9. Prentice-Hall 2009 (the required text).Student Solution Manual, for Otto Bretscher’s text Linear Algebra with Applications, 4thedition. A copy is available in the math center.Web 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 firefox, opera, safarior MS iexplorer web browsers.PrerequisitesMath 1210 and 1220 or the equivalent (Calculus I and II). This is first-year Calculus, 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 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 mapleand unix may attend one of the tutorials on the subject offered during the first two weeks of theterm. The tutorials are organized by Angie Gardiner, 801-585-9478, .Angie’s web page is www.math.utah.edu/ugrad/tutoring.html. Her office is MC 155A in build-ing LCB.Persons without computer training and no maple experience can survive for the first five weekswith a graphing 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 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 phrase Gust 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 Bretscher text plus class notes and www documents will make up the coursematerial. If you study in isolation, then please know 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:• Dailies.Textbook problems. They are the major part of the dailies. About 142individual textbook problems will be graded.Three computer projects. They form the minor part of the dailies. Eachproject is counted like several textbook problems.About six of of the 150 total textbook and maple problems are dropped to make144 required items. Dailies will be graded by G.B. Gustafson and possibly byAngie Gardiner’s grading staff.• Midterms. There are two written midterm examinations.Midterm 1: Thursday February 25, 2010 after 5pm, in JTB 130.Midterm 2: Thursday April 22, 2010 after 5pm, in JTB 130.Send notification in advance of the exam date, if know that you will miss theexam. Email is best. Phone 801-581-6879 workstoo. Please know that once you miss the exam, the crisis has ended, and recoveryis the next plan. Please respond ASAP.• Final exam. This in-class 2-hour examination counts as two additional midtermscores. It is scheduled by the university, in JTB 130 from 6pm to 8pm, on the firstTuesday during exam week, May 4.Records:Accounting of exams and the dailies is initially on paper and ultimately by excel computerrecords. 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 10-15 minutesof your time, to retrieve it from my paper records. Please keep your own records. Correction ofrecords, when required, can be made by email communication.2Homework, 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 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.Homework problems, written in your own handwriting, are submitted in one stapled package withyour name and class time 4:35pm in the upper right corner of the top page. A problem label isexpected for each problem solved, e.g., 1.2-5 for problem 5 in section 1.2 of Bretscher’s textbook.There are certain suggestions for writing up the textbook problems. A full accounting of theformat suggestions contributed by students of 2250 appears on the internet course page as sug-gestions for improving your submitted work. Kindly apply the ideas therein to your written work.It is not a requirement that you follow any advice, but rather, a suggestion that you may robsuccessful ideas from the document aforementioned.Computer projectsThere will be three computer projects assigned during the semester, related to the classroommaterial. Each project counts the same as 2 or 3 daily problems from the textbook, for a total of8 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.The reason for the maple labs is to give you a tool for checking answers, and for doing elaboratelinear algebra computations, error-free.There is a Math Department Computer Lab, part of the Math Center in building LCB, at whichregistered students automatically own accounts. There are other unix labs around campus wheremaple is also available, for