Syllabus for MAT-321

LINEAR ALGEBRA

This course provides the basics and applications of matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including vector spaces, linear transformations, inner products, matrix representations, binary and quadratic forms, eigenvectors, and functions of matrices.

- Matrices
- Systems of Equations
- Determinants
- Vector Spaces
- Linear Transformations
- Orthogonality
- Eigenvalues
- Numerical Linear Algebra

After completing this course, you should be able to:

- CO 01: Solve systems of linear equations.
- CO 02: Convert a system of linear equations into a matrix.
- CO 03: Perform algebraic operations with matrices.
- CO 04: Compute the determinant of a matrix.
- CO 05: Utilize vector spaces to illustrate linear independence.
- CO 06: Apply the rules of vectors to show levels of dimension, basis, and space.
- CO 07: Solve linear transformation problems.
- CO 08: Compute scalar products, subspaces, least squares, inner products, orthonormal sets and polynomials.
- CO 09: Utilize eigenvectors to compute systems of linear differential equations, diagonalization and hermitian matrices.
- CO 10: Utilize matrices and vectors to calculate quadratic equations.
- CO 11: Utilize determinants to compute positive definite and nonnegative matrices.
- CO 12: Apply computer methods to solve linear algebra problems.

You will need the following materials to do the work of the course. The required textbook is available from the College’s textbook supplier, MBS Direct.

Required Textbooks

- Leon, Steve (2010). Linear Algebra with Applications, 8th ed. Upper Saddle River, NJ: Pearson Prentice Hall.

ISBN-13: 978-0136009290

- Leon, Steve (2010). Student Study Guide for Linear Algebra with Applications, 8th ed. Upper Saddle River, NJ: Pearson Prentice Hall.

ISBN-13: 978-0136009306

Linear Algebra is a three-credit online course, consisting of five (5) modules. Modules include an overview, topics, learning objectives, study materials, and activities. Module titles are listed below.

- Module 1: Systems of Equations, Matrices, and Determinants
- Module 2: Vector Spaces and Linear Transformations
- Module 3: Orthogonality

- Module 4: Eigenvalues

- Module 5: Numerical Linear Algebra

For your formal work in the course, you are required to participate in online discussion forums, complete written assignments, and take two proctored examinations—a midterm and a final. See below for more details. See below for details.

Consult the course Calendar for due dates.

You are required to participate in five (5) graded discussion forums. Discussion forums are on a variety of topics associated with the course modules. There is also an ungraded but required introduction forum in Module 1. Click to view Online Discussion Grading Rubric.

You are required to complete five (5) written assignments. The written assignments draw on even-numbered exercises from the textbook. For each assignment, answer all assigned exercises, and show all work.

Assignments must be prepared electronically with a word processor, preferably using whatever equation editor comes with your word processing software. However, if your word processor is not compatible with your mentor's word processor, you will need to save your document as a rich-text file (.rtf) before submitting it. Check with your mentor first to determine file compatibility. (Important: Use the equation editor to insert equations into your word-processed document, not to create the document itself.)

When preparing your answers, please identify each exercise clearly by textbook section and exercise number. Be sure to include your name at the top of the paper, as well as the course name and code and the semester and year in which you are enrolled. To receive full credit for your answers, you must show all work and include complete solutions.

You are required to take two (2) proctored online examinations: a midterm exam and a final exam. Both exams require that you use the College's Online Proctor Service (OPS). Please refer to the "Examinations and Proctors" section of the Online Student Handbook (see General Information area of the course Web site) for further information about scheduling and taking online exams and for all exam policies and procedures. You are strongly advised to schedule your exam within the first week of the semester.

Online exams are administered through the course Web site. Consult the course Calendar for the official dates of exam weeks.

The midterm exam is two hours long and covers modules 1 to 3 of the course (textbook chapters 1 through 5). It consists of twenty-two (22) multiple-choice questions.

The exam is open book, but not open notes. In this regard you are permitted to use only a scientific (nongraphing) calculator and the authorized textbook. But you are not allowed to consult a solutions manual, notes of any kind (including graded or ungraded activities), or any other reference sources or sources of information. The use of blank scratch paper for doing math calculations is permitted during online test administrations.

The final exam is two hours long and covers all modules from 1, 2, 3, 4 to 5 of the course. The final exam will focus on textbook Chapter 6. However, due to the nature of Chapter 7, the final exam also includes some review questions that cover topics in modules 1 to 3. The final exam consists of seventeen (17) multiple-choice questions.

The final exam is also open book, but not open notes. In this regard you are permitted to use only a scientific (nongraphing) calculator and the authorized textbook. But you are not allowed to consult a solutions manual, notes of any kind (including graded or ungraded activities), or any other reference sources or sources of information. The use of blank scratch paper for doing math calculations is permitted during online test administrations.

Statement about Cheating

You are on your honor not to cheat during an exam. Cheating means:

- Looking up any answer or part of an answer in an unauthorized textbook or on the Internet, or using any other source to find an answer.
- Copying and pasting or, in any way copying responses or parts of responses from any other source into your exams. This includes but is not limited to copying and pasting from other documents or spreadsheets, whether written by yourself or anyone else.
- Plagiarizing answers.
- Asking anyone else to assist you by whatever means available while you take an exam.
- Copying any part of an exam to share with other students.
- Telling your mentor that you need another attempt at an exam because your connection to the Internet was interrupted when that is not true.

If there is evidence that you have cheated or plagiarized in an exam, the exam will be declared invalid, and you will fail the course.

Your grade in the course will be determined as follows:

- Online discussions (5)—20 percent
- Written assignments (5)—30 percent
- Midterm exam (proctored online, 1—3)—25 percent
- Final exam (proctored online, 1—5)—25 percent

All activities will receive a numerical grade of 0–100. You will receive a score of 0 for any work not submitted. Your final grade in the course will be a letter grade. Letter grade equivalents for numerical grades are as follows:

A | = | 93–100 | C+ | = | 78–79 | |

A– | = | 90–92 | C | = | 73–77 | |

B+ | = | 88–89 | C– | = | 70–72 | |

B | = | 83–87 | D | = | 60–69 | |

B– | = | 80–82 | F | = | Below 60 |

To receive credit for the course, you must earn a letter grade of C or better (for an area of study course) or D or better (for a nonarea of study course), based on the weighted average of all assigned course work (e.g., exams, assignments, discussion postings, etc.).

First Steps to Success

To succeed in this course, take the following first steps:

- Read carefully the entire Syllabus, making sure that all aspects of the course are clear to you and that you have all the materials required for the course.
- Take time to red the entire Online Student Handbook. The Handbook answers many questions about how to proceed through the course, how to schedule exams, and how to get the most from your educational experience at Thomas Edison State College.
- Arrange to take your examination(s) by following the instructions in this Syllabus and the Online Student Handbook.
- Familiarize yourself with the learning management systems environment—how to navigate it and what the various course areas contain. If you know what to expect as you navigate the course, you can better pace yourself and complete the work on time.
- If you are not familiar with Web-based learning be sure to review the processes for posting responses online and submitting assignments before class begins.

Study Tips

Consider the following study tips for success:

- To stay on track throughout the course, begin each week by consulting the course Calendar. The Calendar provides an overview of the course and indicates due dates for submitting assignments, posting discussions, and scheduling and taking examinations.
- Check Announcements regularly for new course information.

Students at Thomas Edison State College are expected to exhibit the highest level of academic citizenship. In particular, students are expected to read and follow all policies, procedures, and program information guidelines contained in publications; pursue their learning goals with honesty and integrity; demonstrate that they are progressing satisfactorily and in a timely fashion by meeting course deadlines and following outlines procedures; observe a code of mutual respect in dealing with mentors, staff, and other students; behave in a manner consistent with the standards and codes of the profession in which they are practicing; keep official records updated regarding changes in name, address, telephone number, or e-mail address; and meet financial obligations in a timely manner. Students not practicing good academic citizenship may be subject to disciplinary action including suspension, dismissal, or financial holds on records.

Academic Dishonesty

Thomas Edison State College expects all of its students to approach their education with academic integrity—the pursuit of scholarly activity free from fraud and deception. All mentors and administrative staff members at the College insist on strict standards of academic honesty in all courses. Academic dishonesty undermines this objective. Academic dishonesty takes the following forms:

- Cheating
- Plagiarizing (including copying and pasting from the Internet without using quotation marks and without acknowledging sources)
- Fabricating information or citations
- Facilitating acts of dishonesty by others
- Unauthorized access to examinations or the use of unauthorized materials during exam administration
- Submitting the work of another person or work previously used without informing the mentor
- Tampering with the academic work of other students

Academic dishonesty will result in disciplinary action and possible dismissal from the College. Students who submit papers that are found to be plagiarized will receive an F on the plagiarized assignment, may receive a grade of F for the course, and may face dismissal from the College.

A student who is charged with academic dishonesty will be given oral or written notice of the charge. If a mentor or the College official believes the infraction is serious enough to warrant referral of the case to the academic dean, or if the mentor awards a final grade of F in the course because of the infraction, the student and the mentor will be afforded formal due process.

If a student is found cheating or using unauthorized materials on an examination, he or she will automatically receive a grade of F on that examination. Students who believe they have been falsely accused of academic dishonesty should seek redress through informal discussions with the mentor, through the office of the dean, or through an executive officer of Thomas Edison State College.

Plagiarism

Using someone else’s work as your own is plagiarism. Although it may seem like simple dishonesty, plagiarism is against the law. Thomas Edison State College takes a strong stance against plagiarism, and students found to be plagiarizing will be severely penalized. If you copy phrases, sentences, paragraphs, or whole documents word-for-word—or if you paraphrase by changing a word here and there—without identifying the author, then you are plagiarizing. Please keep in mind that this type of identification applies to Internet sources as well as to print-based sources. Copying and pasting from the Internet, without using quotation marks and without acknowledging sources, constitutes plagiarism. (For information about how to cite Internet sources, see Online Student Handbook > Academic Standards > “Citing Sources.”)

Accidentally copying the words and ideas of another writer does not excuse the charge of plagiarism. It is easy to jot down notes and ideas from many sources and then write your own paper without knowing which words are your own and which are someone else’s. It is more difficult to keep track of each and every source. However, the conscientious writer who wishes to avoid plagiarizing never fails to keep careful track of sources.

Always be aware that if you write without acknowledging the sources of your ideas, you run the risk of being charged with plagiarism.

Clearly, plagiarism, no matter the degree of the intent to deceive, defeats the purpose of education. If you plagiarize deliberately, you are not educating yourself, and you are wasting your time on courses meant to improve your skills. if you plagiarize through carelessness, you are deceiving yourself.

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