Linear Algebra And Matrices

Fall  2004




Instructor:           Dr. Cordero

Office:                  425 Pickard Hall

Telephone:          817-272-5062

Office hours:      By appointment





Textbook:      Linear Algebra: An Introductory Approach, Charles W. Curtis,



Prerequisites: Undergraduate Linear Algebra (Math 3330). (Suggested: Undergraduate Abstract Algebra, Math 3321-4321)


About the course:  In this course we will cover most of the material in Chapters 1-7 in the textbook. The course includes all of the material covered in a standard undergraduate course in linear algebra but treats it in much more depth and goes on to prove some important theorems about canonical forms of linear transformations. The topics will include: vector spaces and subspaces, dual spaces, the concepts of basis and linear independence, inner product on a vector space, orthogonality, linear transformations between vector spaces, invariant subspaces of a linear transformation and eigenvalues and eigenvectors, determinant of a linear transformation and Jordan normal and canonical forms.





Tuesday October 5



Due on:
Tuesday September 14
Thursday October 28

Thursday November 18


Final Examination


Tuesday December 7,

11:00 a.m.-1:30 p.m.









University Information

Americans with Disabilities Act: The University of Texas at Arlington is on record as being committed to both the spirit and letter of federal equal opportunity legislation; reference Public Law 93112 – The Rehabilitation Act of 1973 as amended. With the passage of new federal legislation entitled Americans with Disabilities Act   (ADA), pursuant to section 504 of the Rehabilitation Act, there is renewed focus on providing this population with the same opportunities enjoyed by all citizens. As a faculty member, I am required by law to provide “reasonable accommodation” to students with disabilities, so as not to discriminate on the basis of that disability. Student responsibility primarily rests with informing faculty at the beginning of the semester and in providing authorized documentation through designated administrative channels.


Academic Dishonesty: It is the philosophy of The University of Texas at Arlington that academic dishonesty is a completely unacceptable mode of conduct and will not be tolerated in any form. All persons involved in academic dishonesty will be disciplined in accordance with University regulations and procedures. Discipline may include suspension or expulsion from the University. “Scholastic dishonesty includes but is not limited to cheating, plagiarism, collusion, the submission for credit of any work or materials that are attributable in whole or in part to another person, taking an examination for another person, any act designed to give unfair advantage to a student or the attempt to commit such acts.” (Regents Rules and Regulations, Part One, Chapter IV, Section 3, Subsection 3.2, Subdivision 3.22)


Grade Replacement Policy: Upon receiving a grade of D or F in a course, a student may, after filing an intent to do so, replace the grade by repeating the course. The second grade earned, whether higher or lower, will be used in calculating the grade point average unless the second grade is a W. This policy applies only the second time the course is attempted. Both grades received will be shown on the student’s transcript. This policy will apply to a maximum of 10 credit hours at U.T. Arlington. Students must file their intention to replace a grade with the registrar by the Census Date (Feb. 4th). All withdrawals after Census Date will be considered an attempt, and the initial grade will be used. This policy will not apply to courses that may be repeated for credit nor courses taken on a pass/fail basis. This policy is not applicable to graduate students and is not retroactive in that a grade in a course taken prior to adoption may be replaced but a grade earned in a course prior to adoption may not be used as a replacement. Individual colleges and schools may limit this policy.


Student Disruption: The University reserves the right to impose disciplinary action for an infraction of University policies. For example, engagement in conduct, alone or with others, intended to obstruct, disrupt, or interfere with, or which in fact obstructs, disrupts, or interferes with, any function or activity sponsored, authorized by or participated in by the University.


Drop for Non-Payment of Tuition: If you are dropped from this class for non-payment of tuition, you may secure an Enrollment Loan through the Bursar’s Office.


Important Dates:


September 8                     Census Date
November 25-26              Thanksgiving Holidays                                   

November 12                    Last day to drop a class

December 3                       Last day of classes

December 7                       Final Examination 11-1:30 p.m.