MA311 Linear Algebra

for S1W 2007

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Vision Statement: Park University will be a renowned international leader in providing innovative educational opportunities for learners within the global society.


MA 311 Linear Algebra


S1W 2007 TI


Phillips, Benny


Academic Director/Sr. Adjunct Professor


B.S. in Electrical and Computer Engineering 1987
M.S. in Electrical and Computer Engineering 1990
Ph.D. in Electrical and Computer Engineering 1993

Office Location

Tinker AFB

Office Hours


Daytime Phone

(405) 378 6138


Semester Dates

Wednesday, January 17, 2007 - Wednesday, March 14, 2007

Class Days


Class Time

10:00 - 4:00 PM


MA211 Calculus II

Credit Hours



Linear Algebra for Engineers and Scientists using Matlab by Kenneth Hardy. Pearson Education, Inc. ISBN 0-13-906728-0

Textbooks can be purchased through the MBS bookstore

Additional Resources:

  • Student must bring a scientific calculator to class daily.
  • Student must have a computer and an Internet connection at home to do homework.
  • Student needs to download and install a free copy of LiveMath Viewer from  This software tool is for the student to simulate mathematical concepts.  The software is used by the instructor to teach/demonstrate functions, matrices and operations. Students are not required to program in LiveMath.
  • Student needs to download and install free copies of Java Compiler 1.5 from, and editor Netbeans 5.5 from
  • Student needs to download and install a free copy of Derive 6.1 from  This software tool is for the student to simulate mathematical concepts.  The software is used by the instructor to teach/demonstrate functions, matrices and operations. Students are not required to program in Derive.

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Course Description:
Topics include the general methods of solving systems of equations, determinants and matrices, vector spaces, linear transformations and introduction to simplex algorithms. PREREQUISITE: MA 211 3:0:3

Educational Philosophy:
The facilitators educational philosophy is one of interactiveness based on lectures, readings, quizzes, dialogues, examinations, internet, videos, web sites and writings. The facilitator will engage each learner in what is referred to as disputatious learning to encourage the lively exploration of ideas, issues and contradictions.

Learning Outcomes:
  Core Learning Outcomes

  1. Solve a system of linear equations using Gaussian elimination.
  2. Perform arithmetic operations on matrices.
  3. Use the properties of invertible matrices to solve systems of linear equations.
  4. Use the determinant of a matrix to tell whether a system of equations has a unique solution or not
  5. Apply the properties of vectors in Euclidean n-space and provide a geometric interpretation where appropriate
  6. Apply the properties of linear independence, basis, and dimension
  7. Perform the Gram-Schmidt process
  8. Demonstrate what it means to say that two vectors are orthogonal
  9. Apply the properties of inner product spaces

Core Assessment:
  • Periodic assignments
  • Quizzes
  • Tests

Class Assessment:

  • Examinations: 40 points (2 exams, 40% of the course grade)
  • Homework Assignments: 20 points (6 assignments, 20% of course grade)
  • Quizzes: 20 points (4 quizzes, 20% of the course grade)
  • Term Project: 10 points (10% of course grade, involving Mathematical Induction)
  • Attendance and Class Discussion: 10 points (10% of course grade)
  • Letter Grades: A >= 90 points, 80 <= B <90, 70 <= C < 80, 60 <= D <70, F < 60.
  • Note that students must make 60% or better on the Final Exam to pass the course.

Late Submission of Course Materials:

Late work will not be accepted without prior arrangements with the instructor.

Classroom Rules of Conduct:

Students will arrive to class on time and return punctually from any breaks. Students will be courteous to other students and the instructor.

Course Topic/Dates/Assignments:


    • Solving Linear Systems
    • Echelon Forms
    • Rank
    • Applications


    • Matrix Algebra
    • Inverses
    • Applications

Week3 (Vectors)

    • Spaces of Vectors
    • Linear Independence, Basis, Dimension


    • Review
    • Midterm Exam

Week5 (Vectors Continued)

    • Null Space, Colum Space, Row Space
    • Linear Transformations


    • Dot Product, Norm
    • Orthogonal Sets, Orthogonal Matrices
    • Orthogonal Subspaces, Projections, Bases
    • Gram-Schmidt Process
    • Applications


    • Determinants
    • Inverses and Products


    • Review
    • Final Exam (must make at least 60% to pass the course)

Academic Honesty:
Academic integrity is the foundation of the academic community. Because each student has the primary responsibility for being academically honest, students are advised to read and understand all sections of this policy relating to standards of conduct and academic life.   Park University 2006-2007 Undergraduate Catalog Page 87-89

Plagiarism involves the use of quotations without quotation marks, the use of quotations without indication of the source, the use of another's idea without acknowledging the source, the submission of a paper, laboratory report, project, or class assignment (any portion of such) prepared by another person, or incorrect paraphrasing. Park University 2006-2007 Undergraduate Catalog Page 87

Attendance Policy:
Instructors are required to maintain attendance records and to report absences via the online attendance reporting system.

  1. The instructor may excuse absences for valid reasons, but missed work must be made up within the semester/term of enrollment.
  2. Work missed through unexcused absences must also be made up within the semester/term of enrollment, but unexcused absences may carry further penalties.
  3. In the event of two consecutive weeks of unexcused absences in a semester/term of enrollment, the student will be administratively withdrawn, resulting in a grade of "W".
  4. A "Contract for Incomplete" will not be issued to a student who has unexcused or excessive absences recorded for a course.
  5. Students receiving Military Tuition Assistance or Veterans Administration educational benefits must not exceed three unexcused absences in the semester/term of enrollment. Excessive absences will be reported to the appropriate agency and may result in a monetary penalty to the student.
  6. Report of a "F" grade (attendance or academic) resulting from excessive absence for those students who are receiving financial assistance from agencies not mentioned in item 5 above will be reported to the appropriate agency.

Park University 2006-2007 Undergraduate Catalog Page 89-90

Disability Guidelines:
Park University is committed to meeting the needs of all students that meet the criteria for special assistance. These guidelines are designed to supply directions to students concerning the information necessary to accomplish this goal. It is Park University's policy to comply fully with federal and state law, including Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, regarding students with disabilities. In the case of any inconsistency between these guidelines and federal and/or state law, the provisions of the law will apply. Additional information concerning Park University's policies and procedures related to disability can be found on the Park University web page: .


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Last Updated:11/14/2006 8:21:57 PM