Meeting times: 9:30-10:20 MW

Meeting place: 158 VAN

Prerequisites: Engineering major or consent of department head, and 22M:031.

Instructor: Laurent O. Jay

Office: 225L MLH

Office hours: Monday 2:30-4:30 and Friday 2:30-3:30. I will also be available at other times. Just drop by my office or send me an e-mail to make an appointment.

Telephone: (319) 335-0898

Fax: (319) 335-0627

E-mail address: ljay@math.uiowa.edu

Mailbox: in Mailroom 15 MLH

Course web page: Assignments and other information about the course will be given in http://www.math.uiowa.edu/~ljay/m33_04.html. Students are responsible for checking regularly this course web page.

Goals and objectives of the course: The course aims at teaching results and techniques of linear algebra, placing emphasis on matrices. It focuses on methods and computations, but it lets you experience a bit of fairly abstract mathematics. The overall goals of the course are for you to understand the basic and major results in matrix algebra and to acquire enough technical skills to be used in subsequent courses.

Textbook: The textbook: A Short Course in Matrix Theory by E. Kleinfeld & M. Kleinfeld, Nova Science Publishers, Commack, N.Y., 1997, US$31.50 (MATH Course Reserve QA188 .K58 1997). Book chapters to be covered:

1. Vectors and matrices.

2. Determinants.

3. Diagonalization.

4. Applications.

5. Geometry.

1. Reduced row echelon form.

2. Subspaces and basis.

3. Eigenvalues and diagonalization.

4. Applications.

Course outline: This course is an abbreviated version of 22M:027. Here the emphasis is placed on matrices rather than on both linear transformations and matrices. Particular topics include operations on matrices, the use of matrix in solving systems of linear equations and evaluating determinants, eigenvalues and eigenvectors, the diagonalization of matrices and an introduction to subspaces of Euclidean space. We will cover the entire course text and if time allows we will cover additional topics and applications of matrix algebra. Specific topics to be covered include: row reduction, inversion, rank and null-space of a matrix, determinants, bases, egenvalues, eigenvectors, diagonalization,and others. This is a short course in matrix algebra, but it still covers a large amount of material for one semester and is fast paced. The course plan may be modified during the semester. Such modifications will be announced in advance during class periods and on the course web page; the student is responsible for keeping abreast of such changes.

Class procedures: The majority of each class period will be lecture oriented. It is strongly advised to read the material to be discussed before coming to class. Therefore, if there is a difficult point, you will know beforehand where it arises, so that you can benefit from the lecture more effectively. If the point remains unclear you can always ask questions.

Homework: Will be assigned weekly. Presentation of your results is very important. Scratch paper will not be accepted. Do not expect good grades if your solution to a problem is poorly communicated. Like for everything, if you cannot explain something in great details, you certainly have not fully understood it. The importance of doing homework cannot be overemphasized, most of human people learn by doing, not only by watching and/or listening.

Computer resources: Computer accounts will be made available on the Linux network in MLH (lab rooms B5 and 301). Check the laboratories reservation schedule and the web page of the Division of Mathematic Sciences Educational Laboratories for more information.

Grading procedures: The final grade will be based on tests, quizzes, homework, and final examination as follows:

1. There will be two tests during the semester, with each test to account for 20% of the course grade.
2. Quizzes and homework assignments will account for 25% of the course grade. The best 75% of the total quizzes and homework given will be considered. If less than 75% is available, a grade F will be given by default for the remaining percentage. Usually, only a portion of each homework assignment will be graded, based on the availability of assistance from a grader for the course.
3. The final examination will account for 35% of the course grade and this test will be comprehensive.

Grader: Gui Le, 255 MH, e-mail: happygui626@hotmail.com or gule@math.uiowa.edu.

Final examination: To be held on Thursday, December 16, 2004, 9:45-11:45 A.M., in room 158 VAN. Only under exceptional circumstances will a student be permitted to shift the time of this examination.

Notes to student: The Department of Mathematics has offices in 14 MLH. To make an appointment to speak with the Chair of the Department, call 335-0714 or contact the Departmental Secretary in 14 MLH.

Cell phones and pagers must be on silent mode during lecture. CELL PHONES AND PAGERS ARE NOT ALLOWED IN CLASS DURING EXAMS. If you do bring a cell phone or pager to an exam, you may leave it in the front of the class during the exam. If a student is found to have a cell phone or pager during an exam, the cell phone or pager will be taken from the student and procedures for cheating may be followed.

Please let your instructor know if you have a disability that requires special arrangements.

This course is given by the College of Liberal Arts and Sciences. This means that class policies on matters such as requirements, grading, and sanctions for academic dishonesty are governed by the College of Liberal Arts and Sciences. Students wishing to add or drop this course after the official deadline must receive the approval of the Dean of the College of Liberal Arts and Sciences. Details of the University policy of cross enrollments may be found at: http://www.uiowa.edu/~provost/deos/crossenroll.doc.