MATH 2853 Elementary Linear Algebra

Spring Semester 2004

Instructor:

Vu Kim Tuan

Department of Mathematics

Office:
Boyd 325

Phone:
770-838-2579

E-mail:
vu@westga.edu

Office
hours: Mon., Wed., Fri.

Course
Description:

This
course will provide an applied approach to matrix theory and linear algebra
covering such topics as linear systems, Gauss-Jordan elimination, matrix
inversion, determinants, vectors in R^{n}, real vector spaces, eigenvalues,
eigenvectors and diagonalization.

Learning
Outcomes:

¨
The student will be able to express linear
systems of equations in matrix form.

¨
The student will be able to solve systems of
linear equations using Gauss-Jordan elimination.

¨
The student will be able to perform basic
matrix operations and compute matrix inverses and determinants.

¨
The student will be introduced to vectors in
R^{n} and will be able to compute the dot
product, length, inner product and norm of vectors.

¨
The student will be introduced to the basic properties of real vector
spaces and subspaces including properties such as linear independence, span,
basis, rank.

¨
The student will examine linear
transformations.

¨
The student will be able to compute eigenvalues and eigenvectors of a square matrix.

¨
The student will be able to use a software
package such as Maple to perform basic matrix operations.

Textbook:

Kolman / Hill, *Introductory Linear Algebra With Applications,
*Seventh Edition, Prentice Hall, 2001.

Prerequisites:

CS 1301; Prerequisite or corequisite: MATH 2644

Requirements
and Grading:

¨
Exams:
There will be two take-home and two in-class tests worth 100 points each. Below
are the tentative test dates:

Test
1: Wednesday, January 28

Test
2: Monday, February 23

Test
3: Wednesday, March 31

Test
4: Friday, April 16

¨
Final Exam:
There will be one *comprehensive*
final exam worth 200 points:

Friday,
May 5,

¨
Homework: This
is an important part of the course. There will be no homework assignments to be
handed in. However, at the end of most classes you will be given a list of
problems – these are the minimum that you should work. Some of these problems
will be gone over in the next class session. Practice is important. You should
make sure to set aside some time every class day to work problems.

¨
Grading: The final letter grade will
be determined by the following scale:

A = 540-600

B = 480-539

C = 420-479

D = 360-419

F = below 360

Make-ups:

No
make up for take-home exam. Any missed in class exam must be made up within one
week of the day the exam was given. There must be a reasonable excuse for
missing the exam and the excuse must be in writing.

Attendance
Policy:

Students
are expected to attend every class. Although absences are not penalized, if a
class is missed, the student is responsible for all material and assignments.

Academic Honesty:

Students are expected to achieve
and maintain the highest standards of academic

honesty and excellence
as described in the Undergraduate Catalog. In short, be

responsible and do your own
work.

Other Important
Dates:

Last
day to withdrawal with grade of W is February 27.

Proposed Course
Schedule:

__Date__ __Sections__ __Date__ __Sections__

(M) March 8 5.2

(W)
January 7 1.1 (W) March 10 6.1

(F)
January 9 1.1,
1.2 (F) March 12 6.1

(M)
January 12 1.2,
(M) March 15
6.2

(W)
January 14 1.3 (W) March 17 6.2

(F)
January 16
1.4 (F) March 19 6.3

(M)
January 19 MLK
holiday – no classes (M) March 22 Spring Break

(W)
January 21 1.5 (W) March 24 Spring Break

(F)
January 23 1.5 (F) March 26 Spring Break

(M)
January 26 2.2 (M) March 29 6.3

(W)
January 28 1.6,
Take-home Test (W) March 31 6.4, Take-home Test

(F)
January 30 1.6 (F) April 2 6.4

(M)
February 2 Maple
Lab (M) April 5 Maple
Lab

(W)
February 4 2.4 (W) April 7 6.5

(F)
February 6 3.1 (F) April 9 6.6

(M)
February 9 3.2 (M) April 12 8.1

(W)
February 11 3.2 (W) April 14
Review

(F)
February 13 no
classes (F) April 16 In-class Test

(M)
February 16 4.1 (M) April 19 8.1

(W)
February 18 4.1 (W) April 21 8.2

(F)
February 20 Review (F) April 23 8.2

(M)
February 23 In-class
Test (M) April 26 Review

(W)
February 25 4.2 (W) May 5 Final Exam (8 -10)

(F)
February 27 4.2

(M)
March 1 4.3

(W)
March 3 4.3

(F) March 5 5.1

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