Math 265:
Linear Algebra for Engineers

Syllabus
Textbook Introduction to Matrix Analysis for Engineering and Science 4th Preliminary

Edition, by C. Cowen, ISBN # 0-9650717-5-8.

Lectures Lectures: MWF 8:30-9:20 am (or 10:30-11:20 am), REC 112.

Office hours: MWF 9:30-10:20 am, Room 644 (Math. Bldg.).

Grade The final grade for the course will be based on:

-- two midterms (100 points each);
-- comprehensive, "common" final exam (200 points);
-- daily homework assignments + project on circles in space (100 points).
Note that the performance of the class in the common final will determine the curve for the final grade, i.e., the number of A's, B's, ..., and F's assigned to our section: Work harder then!! The midterms will be instead decided by your instructor.

All exams are closed-book. No cheat-sheets and notes are allowed. You must bring your picture I.D. card to every exam. Make-up exams will be given only in case of an emergency or if a valid excuse is given and verified in advance.

Attendance and active participation to class life will be also taken into consideration when computing the final grade.

Matlab Matlab is a scientific package with a matrix analysis foundation developed,
mantained, and marketed by The MathWorks, Natick, MA. Because it is widely used in the engineering community and increasingly used in university engineering, science, and mathematics curricula, Matlab is specifically described when machine computation issues come up.

Throughout the course there will be mention of Matlab approaches to problems and some exercises will be inconvinient to do without a machine of some kind. However, most of the exercises are designed for paper and pencil computation and their purpose is to reinforce the learning of the material. In many situations, a paper and pencil approach will be different from a machine computation approach: thinking about both approaches will strengthen your understanding of the subject you are about to learn.

Math. Open Hours As in the past, Math. Open Hours will be Sunday, Monday, Tuesday, Wednesday,
and Thursday evenings. This is a chance for students to get help in using the math software Matlab, Maple, Geometer's Sketchpad, or Excel from an undergraduate who knows some math and some of the software.

This semester, Math. Open Hours are 7-10 pm in LAEB B275 Sunday, Tuesday, Wednesday, and Thursday but will be in ENAD 420 on Monday evenings.

Important dates Last day for a student to drop a course without it being recorded: Jan. 27, 1997,
5:00 pm.

Last day for a student to drop a course without a grade: Feb. 10, 1997, 5:00 pm.

Last day for a student to drop a course with a passing or failing grade: Mar. 24, 1997, 5:00 pm.

ODOS Program Students who have been certified by the Office of the Dean of Students-Adaptive

Programs as eligible for academic adjustments should go to MATH 242 and request an Information Sheet for this semester, that explains how to proceed this semester to get these adjustments made in Mathematics courses. This should be done during the first week of classes. Only students who have been certified by the ODOS-Adaptive Programs and who have requested ODOS to send their certification letter to their instructor are eligible for academic adjustments.

Students who are currently undergoing an evaluation process to determine whether they are eligible for academic adjustments, are encouraged to find out now what procedures they will have to follow when they are certified, by requesting the above mentioned Information Sheet from MATH 242.

Large print copies of the Information Sheet are available from MATH 242 upon request.

Course Outline The following is a tentative plan for this course.

Page and section numbers refer to the text Introduction to Matrix Analisis for Engineering and Science by Carl Cowen, 4th Preliminary Edition.

Exercises especially suited to machine computation are marked with \diamond.

Lesson Section Page Problems
1 1.2 page 17 1, 2, 4, 5.
2 1.3 page 30 1a-f, 4, 6, 7, 8, 9, 10; \diamond 14.
3 2.2 page 43 2, 3, 4, 5, 10, 11, 12; \diamond 8, 9.
4 2.3 page 71 1, 2, 3, 5, 6, 7; \diamond 14.
5 2.3 page 71 8, 9, 10, 11, 12, 13; \diamond 15, 16.
6 2.4 page 79 1, 2, 3, 4, 5, 6, 9.
(7) (2.5) page 88 1, 2, 3, 4, 5, 6, 7.
8 2.6 page 102 1, 2, 3, 4, 5, 6.
9 2.6 page 102 7, 8, 9, 10, 11, 12.
10 3.2 page 133 1, 2, 3, 4, 6, 8, 9, 10, 11.
11 3.3 page 143 1, 2, 3, 4, 6, 8, 9, 11.
12 3.4 page 152 1, 2, 3, 4, 9, 11, 12, 13.
13 3.5 page 159 1, 2, 3, 4.
14 review page 152 5, 6, 7, 10, 14, 15, 16.
page 159 5, 6.
15 3.6 page 175 1, 2, 4, 5, 6, 7, 9.
16 3.6 page 175 3, 8, 10, 11, 13, 14, 17.
17 3.7 page 187 1, 2, 3, 4, 7, 8, 9, 10, 11.
18 3.8 page 195 1, 2, 3, 4, 5.
Midterm I.
19 4.2 page 209 1, 3, 4, 5, 6, 7, 10, 11, 12, 14, 16, 18.
20 4.2 page 209 2, 15, 17, 19, 22, 23, 24, 25, 27, 28.
21 4.3 page 219 1, 2, 3, 4, 5, 7, 8, 9.
22 4.4 page 230 1, 2, 3, 4, 5, 6.
23 4.5 page 242 \diamond 1, 2, 3, 4, 5, 6, 7, 9.
24 5.2 page 265 1, 2, 3, 4, 5; \diamond 6, 7, 8, 9.
(5.5) Assign Project on Circles in Space.
25 5.3 page 273 1, 3, 4, 5, 9; \diamond 2, 6, 8.
26 6.2 page 308 1, 2, 3, 4, 5, 6.
27 6.2 page 308 7, 8, 9, 10, 11, 13; \diamond 12.
Midterm II.
(5.5) Collect Project on Circles in Space.
28 6.3 page 321 1, 2, 3, 4, 5, 6, 8.
29 6.4 page 333 1, 2, 3, 4, 5.
(A) page 380 1, 2,, 3, 4, 5, 6.
30 6.5 page 344 1, 2, 3, 4, 5.
31 6.5 page 344 6, 7, 8, 9.
(32) (6.6) page 351 1, 2, 3, 4.
(33) (6.7) page 355 1, 2.
34 7.1 page 369 1, 2, 3, 4.
35 7.1 page 369 5, 6, 7, 8, 11, 12, 13.
Final Exam.

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