PREREQUISITES: Math 2614 - Calculus I

CATALOG DESCRIPTION OF COURSE: Real numbers, fields and mappings, vectors and vector spaces, matrices, linear dependence and simultaneous linear equations. Determinants, linear transformations.

COURSE PURPOSE: This course is required of all mathematics and mathematics education majors. It is intended to provide students with an understanding of matrices and their applications in solving systems of linear equations.

EXPECTED COURSE OUTCOMES: Students will be expected to achieve the following objectives:

1. Use elementary row operations, elementary matrices and matrix algebra to solve systems of equations.

2. Find the transpose and inverse of a matrix.

3. Find determinants and use properties of determinants to determine if a matrix is nonsingular.

4. Determine subspaces, spanning sets and bases of vector spaces

5. Demonstrate linear independence or linear dependence of a set of vectors.

6 Utilize linear transformations as mappings from one vector space to another.

7. Use definitions and theorems to prove results in all of the above topics.

INSTRUCTIONAL MATERIALS: (Required Textbook) Leon, Steven J. "Linear Algebra with Applications." (5th ed.) Upper Saddle River, NJ: Prentice Hall, 1998.

INSTRUCTIONAL PROCEDURES: The expected course outcomes will be realized primarily through lecture, discussion, and demonstration.

Linear Algebra

I. Matrices and Systems of Equations

A. Systems of Linear Equations

B. Row Echelon Form

C. Matrix Algebra

D. Elementary Matrices

E. Partitioned Matrices

II. Determinants

A. The Determinant of a Matrix

B. Properties of Determinants

C. Cramer's Rule

III. Vector Spaces

A. Definition and Examples

B. Subspaces

C. Linear Independence

D. Basis and Dimension

E. Change of Basis

F. Row Space and Column Space

IV. Linear Transformations

A. Definition and Examples

B. Matrix Representations

C. Similarity

ADA COMPLIANCE: If any member of the class feels that he/she has a disability and needs special accommodations of any nature whatsoever, the instructor will work with you and the University's Office of Student Affairs to provide reasonable accommodations to ensure that you have a fair opportunity to perform in this class. Please advise the instructor of such disability and the desired accommodations at the first class attended.

INCLEMENT WEATHER / DISASTER POLICY:

The following are basic premises for the inclement weather policy at Northeastern State University:

1. Classes are expected to be held if at all possible.

2. It is the student's responsibility to receive the information when weather is questionable.

3. Neither students nor faculty are expected to risk life or limb.

4. Faculty members are obligated to hold classes if the University is not closed, unless the faculty member is unable to get to campus.

Policy: During times of inclement weather, decisions concerning day classes will be made by 6:00 a.m. in order for the media to be notified and for students to receive the announcement before they leave home. Decisions concerning night classes will be made by 3:00 p.m.

The following media will be notified regarding closing of the campus:

Radio Stations: Television Stations:

KRMG 740 AM Tulsa KJRH Channel 2 Tulsa

KAYI 107 FM Tulsa KOTV Channel 6 Tulsa

KTLQ 1350 AM Tahlequah KTUL Channel 8 Tulsa

KEOK 102 FM Tahlequah KFSM Channel 5 Fort Smith

KBIX 1490 AM Muskogee Cable Channel 96 Tahlequah

KMMY 97 FM Muskogee

KVOO 1170 AM Tulsa

The automated attendant message on 918-456-5511 will be modified to include information concerning campus operations during inclement weather.