MA311 Linear Algebra

for S1T 2011

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MA 311 Linear Algebra


S1T 2011 DL


Ottum, Joseph A.

Daytime Phone

(210) 486-3292


Semester Dates

F2T 2010 DL

Class Days


Class Time



MA211 or MA221

Credit Hours



Linear Algebra and Its Applications with CD-ROM, Update, 3/E, David C Lay

Textbooks can be purchased through the MBS bookstore

Additional Resources:

A required additional resource is MyMathLab (MML).  MyMathLab is a REQUIRED interactive website that accompanies the textbook for this course.  The e-book can also be accessed through MyMathLab. It is possible to print selected pages for study purposes.  MML access will be provided when registering to the course.

A graphing calculator is required.  The TI-89 Titanium or TI Voyage 200 Calculator is recommended.

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Course Description:
MA 311 Linear Algebra: Topics include the general methods of solving systems of equations, determinants and matrices, vector spaces, linear transformations and introduction to simplex algorithms.3:0:3. Prerequisite: MA 211 or MA 221

Educational Philosophy:
The facilitator’s 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:
Assignments – Completion of the textbook assignments is necessary for comprehension and mastery of course concepts. These assignments are made for your practice and mastery of the concepts. They will not be collected or graded. You can expect similar questions on the quizzes and the exam.

Quizzes (Completed at MyMathLab) – Each week includes 1 quiz. The quizzes are due by 11:59 CST on Sunday of the academic week. No late submissions are allowed. The quizzes are formative and summative; you should use the quiz to access your level of comprehension, restudy and may retake the quiz. You are allowed 3 attempts at each quiz. The quizzes vary in length, but all are timed; you have 90 minutes to complete each quiz.
Weekly Discussion – Each week, respond to at least one of that week’s topics or post a ‘thoughtful’ comment to someone else's comment.
Projects – Each student must complete two projects. The first project must be submitted by 11:59 CST on Sunday of the academic week 3. The second project must be submitted by 11:59 CST on Sunday of the academic week 7. An extra-credit project can be completed, due by 11:59 CST on Sunday of the academic week 7. I will provide five projects that you may select from; if you prefer a project in your area of interest, request approval from me by week 2.
Final Exam – Complete the final exam in Week 8.


Projects count 24 points (12 points per project), quizzes count 28 points (4 points per quiz), discussions count 14 points (2 per week), and the final exam counts 34 points.

Grade Scale:     >=90=A     80-89=B      70-79=C     60-69=D      <60=F

Late Submission of Course Materials:
Assignments should be turned in on the specified due date/time.

Classroom Rules of Conduct:

Students are expected to participate fully in class learning activities. Students are required to exercise courteous behavior between themselves and with the instructor.

Helpful information about participation in an online classroom is found in the Netiquette section on the Help and Resources page.

Course Topic/Dates/Assignments:
Week 1    In sections 1.1 and 1.2, we form the foundations learning about row reduction, existence and uniqueness, the role of pivot and free variables, invertibility, and the parametric description of solutions sets. In 1.3 we review vectors, and learn about the span of a set of vectors. Then in 1.4 we see the connection between a system of linear equations, the matrix equation, and linear combinations of vectors. We additionally introduce the idea of rank.

Assignments (o = odd, e = every other odd):
1.1: 7, 11, 19-22, 25, 33
1.2: 1-13e,23,27,33
1.3: 11,13,17,21,25,26
1.4: 3-15e,17,19,27,28,31,32

Week 2    We use geometry in section 1.5 to better understand the concept of span, and further examine the parametric vector solution form. We extend our knowledge of linear independence in section 1.7 and examine several examples. Section 1.8 is where begin our exploration of linear transformations. We also examine several examples of linear transformations. We then examine matrix operations in sections 2.1 and 2.2, including matrix products, elementary matrices, and inverse matrices.

Assignments (o = odd, e = every other odd):
1.5: 1-13e,29-34
1.7: 9-17o,20,23-31e
1.8: 17-20,25,31
2.1: 13,17-25o
2.2: 11-21o,24,35

Week 3   In section 2.3 we use the Invertible Matrix Theorem to tie together the concepts learned to this point. Then in section 2.4 we learn how to partition a matrix and perform operations on block matrices. We learn the LU and PLU factorizations of a matrix and how they can be used to solve systems of linear equations in section 2.5. We introduce and examine the properties of determinants in sections 3.1 and 3.2.

Assignments (o = odd, e = every other odd):
2.3: 15-23o
2.4: 1-15o,21-24
2.5: 1-5o,26
3.1: 1-14o,33-36
3.2: 7-13o,21,25

Week 4   We define vector spaces and subspaces in section 4.1. Then in section 4.2 we continue our study of linear transformations, exploring the null space and column space. We then define what a basis is in section 4.3, and continue or examination of subspaces. In sections 4.4 and 4.5, we explore coordinate systems and the dimension of a vector space. We learn how to create and use a change-of-coordinate matrix, and introduce the term isomorphic.

Assignments (o = odd, e = every other odd):
4.1: 1-17o,23,24
4.2: 3-16,17-26
4.3: 1-6,9,15,21-25
4.4: 1,3,5,11,13,25,27
4.5: 11-19o

Week 5   We continue learning about rank in section 4.6. Then in section 4.7 we continue using the change-of-coordinates matrix to change the basis. We introduce Markov Chains in section 4.9, examining several applications. This section is very important since we skirt the concept of eigenvectors and eigenvalues. Then in sections 5.1 and 5.2 we learn about eigenvectors, eigenvalues and the characteristic equation.

Assignments (o = odd, e = every other odd):
4.6: 1-3,5-13e
4.7: 7,9,13,17,18
4.9: 1-13o
5.1: 9-13o,21
5.2: 1-13e

Week 6   We then learn about diagonalization of symmetric matrices in section 5.3, using eigenvectors and eigenvalues. We introduce inner products and the concepts of length and orthogonality in section 6.1. We further examine orthogonality in sections 6.2 and 6.3, learning about orthogonal projection and QR factorization. Then we bring things together again by learning the Gram-Schmidt process in section 6.4.

Assignments (o = odd, e = every other odd):
5.3: 1,3,7,11,18
6.1: 5-17o,24
6.2: 5-17o,14
6.3: 3-11o,13-14,19,20
6.4: 3-13o

Week 7   In sections 6.5 and 6.6 we introduce how to use matrices to solve least-square problems. We then examine inner product spaces, including defining the Cauchy-Schwarz and triangle inequalities in section 6.7. We conclude with further applications of inner product spaces, including the Fourier series in section 6.8.

Assignments (o = odd, e = every other odd):
6.5: 3-11o,19,22
6.6: 1-4,9,11-12
6.7: 3-11o,21,23
6.8: 1,3-5,9,10

Week 8   Final Examination

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 students and faculty members are encouraged to take advantage of the University resources available for learning about academic honesty ( or Park University 2010-2011 Undergraduate Catalog Page 92

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. from Park University 2010-2011 Undergraduate Catalog Page 92-93

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 "F".
  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.
ONLINE NOTE: An attendance report of "P" (present) will be recorded for students who have logged in to the Online classroom at least once during each week of the term. Recording of attendance is not equivalent to participation. Participation grades will be assigned by each instructor according to the criteria in the Grading Policy section of the syllabus.

Park University 2010-2011 Undergraduate Catalog Page 95-96

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:12/6/2010 8:26:02 AM