**Room and hours: Red Hill**, T, Th.
1:00- 1:50

**Instructor**: Muhammad Zafrullah
**Office**:
709 Garrison

**Phone**: 282-2892 (**Department**), and
208-478-2759, (**home**) **e-mail: **zufrmuha@isu.edu

**Office hours**: M- F 11:00- 11:50 AM or by appointment.

**Textbook**: Linear Algebra and its Applications, David
Lay, Addison-Wesley, Second, updated, edition,

**Course
prerequisites**: Satisfactory
completion of College Algebra or its equivalent.

**Syllabus: **We will cover parts of Chapters 1- 3 and 5
and 6 of the textbook.

**Course
Description: **This course
provides a brief introduction to the important problem solving set of tools
called Linear Algebra, its meanings and its applications, from a user’s point
of view. The emphasis of this course is on applications of Linear Algebra to
Engineering and Business.

**Course objectives**: On successful completion of this course you
should

- Know how to find the solution set of a system of linear equations, via row reduction and should know what a row echelon form is.
- Understand the meanings of the term Matrix, and know how, and when, to add and multiply matrices and what the term Algebra of Matrices means. Understand the role of matrices in the solutions of systems of equations.
- Know what
*R*stands for and what an n-dimensional vector is and be able to tell when a set of vectors is linearly independent or dependent. You should also know what the span of a set of vectors means and what the rank of a matrix is.^{n} - Know exactly when a matrix is invertible and be able to find the inverse of a simple invertible matrix, using hand computation as well as a machine, and be able to use it in solving a system of linear equations.
- Know basic properties of determinants and be able to compute simple determinants. Should also know how the determinant of a square matrix is linked with its invertibility.
- Know what a suitable matrix can do to a column vector and what is the significance of matrix multiplication in this connection.
- Be able to recognize the situations in the real world where your knowledge of Linear Algebra applies and be able to apply it independently.

**Homework**: Homework will be assigned at the end of
each section but will not be collected.

**Calculators:** You are permitted (in fact encouraged) to
use programmable graphing calculators, but laptops or other devices with QWERTY
keyboards, such as TI 89, TI 92 are not be allowed, neither in the class room
nor in the exams. I will use TI 83 and, if time permits, to show how to use
machines to do lengthy calculations.

**Math Help: Math Lab** (**Museum Building (Top Floor)**) is a
free drop-in tutorial service staffed by Teaching Assistants and Instructors
from the Department of Mathematics. The hours are: **To be announced**
.
The Math Lab provides one of the best ways of getting personalized help. (About
Math help: Remember that Mathematics is not a spectator sport. You would not
get it if you do not do it. So get your hands dirty, try to do the problems
yourself and seek help only if you have some real difficulty with a problem or
a concept.) Note that not all the tutors at the Math Lab can help you. I will
let you know of the times when you can get help at Math Lab.

**Tests, quizzes
and grading**: There will be:

·
**Three
in-class tests** (dates to be announced in class),

·
**A
comprehensive final** (Tuesday
5-15-2001, 12:30 –2:30 PM**)**. In addition

·
**There will
be some 4 to 6 quizzes**. The
quizzes will not be announced. There will be a minimum of 4 quizzes to be
taken. If you do take more, the highest scoring four will be taken into
account.

· To make sure that you read and understand some topics on your own I will give you some reading assignments on some topics. The reading assignments will be due at the next meeting.

**Grades**: The allocation of grades will be as
follows: 100 points each for the three in-class tests, 50 points for the
reading assignments, and 200 for the final. The quizzes will be worth 100
points. In all you will be working for 650 points. (There will be **no
make-ups**. If you do have legitimate and documented excuse for missing a
test/quiz, your grade will be recalculated without that test.)

**Grading scale** will
be approximately as in the following table:

Grade |
A |
B |
C |
D |

% |
90-100 |
80- 89 |
70- 79 |
60-69 |

(**Note**: I do reserve the right to give bonus points to those
whose performance in the class turns out to be outstanding. Being nice to me
will not help. You will have to show performance, by participating in
class-discussions, by asking questions and by getting good grades.)

**Changes in policies**: Course policies are subject to change. Any
changes will be announced in class. You are responsible for keeping track of
any such announcements.

**Notes**: (1) Past experience (with similar courses) indicates that you will need
at least 8 hours of study per week, in addition to the 2 contact hours, if you
want to get good grades in this class. Try not to miss classes. It is not
always possible to see the useful points on your own.

(2) Reading the textbook, as the course progresses, enhances the understanding of the subject. Doing homework regularly also helps and allocating some study time to prepare for tests also improves the grades.

**Disabilities**: If you have or you believe you have a
disability that may require accommodation on the part of ISU, call 282-3599 to
make an appointment Dian Jenkins, Director, ADA and Disabilities Resource
Center.

**Academic Honesty**: You may work with other students on most
assignments, but you are expected to write your own solutions and reading assignments.
There will be no tolerance for cheating or plagiarism. University policies will
be enforced in such cases.