MATHEMATICS 2270Introduction to Linear AlgebraSpring semester 2004Time: MTWF 8:35–9:25am LCB 121Instructor: Professor Grant B. Gustafson1, JWB 113, 581-6879.Office Hours: JWB 113, MWF 9:55-10:30am an d 11:45-12:15. Other times will appear on mydoor card and on the internet due date page.Telephone: 581-6879. Please use email wh en ever possible.Email and web site: gustafso @math.utah.ed u http://www.math.utah.edu/~gustafso/Tutoring: The Math Department Tutoring Center is located in L CB, and it is open for freetutoring from 8 a.m. to 8 p .m. on M-Th, and from 8 a.m. to 2 p.m. on Friday. Some, but not allof the math tutors welcome questions from Math 2270 students. To see the times and specialitiesof various tutors, consult the web address www.math.utah.ed u/ugrad/tutoring.html.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 f rom Netscape or MS ex plorer webbrowsers.Prerequisites:Math 1210 and 1220 or the equivalent. This is first-year Calculus, with a very brief introduction tolinear differential equations. The old Math courses 111-112-113 of 1997-98 fulfill the requirement.In addition, background is requir ed in planar curves, velocity and acceleration vectors from Physics2210 or Math 2210, or th eir equivalent courses.A passive knowledge of map le is assumed. The entir e 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. T he instructor f or these tutorials is AngieGardiner, 585-9478, gardiner@math .utah.edu. The dates and times are printed on Angie’s doorMC 155A (building LCB). See also the tutoring web address cited above. Free tutoring is availablein the LCB tutoring center 8:00 a.m. to 8:00 p.m. daily except until 6:00pm on Friday, closedweekends and semester holidays.Course content:This course is an introduction to linear algebra for mathematics majors and science majors. Allchapters of Otto Bretcher’s text plus class notes will make up the course material.1Pronun ciation: In the phraseGust of Wind change Wind to SunGrading:Final grades will be based on:Textbook problems, call dailies, about 132 scores.The da ilies include computer projects.Written midterm examinat ions (3).An in-class 2-hour fina l examination that counts as two additional midterm scores.Written In-Class Exams:There are three (3) midterm exams. Some portion (20 minutes or more) of each midterm isin-class, while the remainder of the exam is done outside of class and submitted separately. Theoutside work is due at class time on certain dates before the in-class exam. There is a final exam(in-class, 2 hours) as scheduled by the university. The midterm and final exams are graded byG.B. Gus tafson.Hand-written Dailies:There will be 141 d ailies due during the semester, including textbook problems and maple labs.They will be graded by a s taff of r eaders employed by Angie Gardiner.Textbook problems:Textbook problems to be submitted for grading are listed on the gradesheet for the course.Tentative dates are set for each problem set. Visit the web site for extra copies. The actual duedates for problems appear only on the web site and they are dynamically updated to reflect thereality of what was discus s ed in class. Generally, problems are submitted shortly after they arediscussed in class, and hopefully on the d ate printed on the gradesheet.All stud ents must complete each textbook problem and submit their work in their own handwrit-ing. Collaboration is permitted and encouraged on textbook problems in teams of not more than2. You must submit separate a handwritten report with citation to the partner.There are certain rules for writing up the textbook problems and the take-home portion of amidterm exam. A full accounting of the format rules contributed by Utah students appears onthe internet course page as format for submitted work. Kindly apply the ideas therein to yourwritten work, both textbook problems and take-home midterm exam problems.Take-home e xam problems:A portion of each of the three midterms is a take-home exam, to be completed and submittedby the due date pub lish ed on the web site. The format rules apply strictly: what you submit isconsidered to be your very best work. It w ill be judged accordingly against the submissions ofothers.Collaboration on take-home exam problems is not sanctioned. Tutors and lab assistants mayanswer questions, but they will not work the p roblems for you or certify correctness of yoursolution. Duplicate solutions will be considered a deliberate act of plagiarism.In-class midterm exam problems:A m idterm 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 th e exam.Bo oks, tables, notes and calculators are not allowed on exam day.2An 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.Computer projects:There will be one to three computer projects assigned during the semester, related to the classroommaterial. They will be written by hand and use the software package maple. There is a MathDepartment Computer Lab in b uilding LCB at which registered students automatically ownaccounts. Drop-in tutoring in the computer lab in building LCB starts the second week of thesemester.Final exam:Two hours are reserved for this written exam. As published by the university, the fi nal exam forthe 8:35 class is Wednesday May 5, 8-10am in the regular classroom.The final exam is comprehensive. About one hour of the exam covers the last three weeks of thecourse. Th e 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 an d 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