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. 10-11AM; and by appointment

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 Rn, 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 Rn 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

¨       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, 8 a.m. – 10 a.m.

¨       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.

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