Syllabus for MAT-270

Discrete Mathematics


COURSE DESCRIPTION

Discrete Mathematics is designed to meet the needs not only of students majoring in computer science but of a wider audience, especially students in mathematics and science. The course provides tools for formal reasoning. Topics include counting rules, propositional and first-order logic, set theory, functions (with an emphasis on recursive functions), partial order and equivalence relations, Boolean algebra, and switching circuits. Graphs and trees are also introduced.

With an emphasis on communication skills, students are required to interpret, describe, discuss, and justify conclusions based on logical reasoning. While the particular focus of the course is on reasoning related to computer programs, no knowledge of programming is required.

COURSE OBJECTIVES

The overall objective of the course is to assist you in acquiring high-level skills in formal reasoning and problem solving, particularly with respect to:

COURSE MATERIALS

You will need the following materials to do the work of the course. Both texts are available from the College's textbook supplier, MBS Direct.

  • Discrete Mathematics and Its Applications, 7th ed., by Kenneth H. Rosen (New York: McGraw-Hill, 2012.

    ISBN-13: 978-0-07-338309-5

  • Student's Solutions Guide to Accompany "Discrete Mathematics and Its Applications," 7th ed., prepared by Jerrold Grossman (New York: McGraw-Hill, 2012.

    ISBN-13: 978-0-07-735350-6

COURSE STRUCTURE

Discrete Mathematics is a three-credit online course, consisting of six (6) modules. Modules include learning objectives, study materials, and activities. Module titles are listed below.

ASSESSMENT METHODS

For your formal work in the course, you are required to participate in four (4) online discussion forums, complete six (6) written assignments, and take two (2) online proctored examinations—a midterm and a final. See below for more details.

Consult the course Calendar for due dates.

Discussion Forums

Discrete Mathematics requires you to participate in four (4) graded online discussion activities, in addition to an ungraded, but required, Introductions Forum in Module 1. Discussions take place over a one-week period, each in a separate forum. You will have a group discussion activity in Modules 1, 2, 3, and 5.

Communication with the mentor and among fellow students is a critical component of online learning. Participation in online discussions involves two distinct activities: an initial response to a posted activity and subsequent comments on each of your classmates' responses. Meaningful participation is relevant to the content, adds value, and advances the discussion. Comments such as "I agree" and "ditto" are not considered value-adding participation. Therefore, when you agree or disagree with a classmate, the reading, or your mentor, state and support your agreement or disagreement. You will be evaluated on the quality and quantity of your participation. Responses and comments should be properly proofread and edited, professional, and respectful.

Written Assignments

You are required to complete six (6) written assignments. The written assignments draw on even-numbered exercises from assigned sections in the textbook. For each assignment, answer all assigned exercises, and show all work.

Assignments must be prepared electronically using whatever word processing program you have on your computer. When preparing your answers, please identify each exercise clearly by section and exercise number. 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.

Before submitting your first assignment, check with your mentor to determine whether your word processing software is compatible with your mentor's software. If so, you can submit your work as you prepared it. If not, save your assignment as a rich-text (.rtf) file, using the Save As command of your software program. Rich text retains basic formatting and can be read by any other word processing program.

When satisfied that your assignment represents your best work, submit it to your mentor.

Examinations

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.

 

Midterm Examination

The midterm exam is three hours long and consists of twenty-five multiple-choice questions. It covers all material through Module 3 of the course.

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 to the exam. The textbook must be an original bound hard copy; electronic textbooks (or printouts) are not allowed. You are also not allowed to use any loose pages or notes, either typed or printed, or to consult a solutions manual or any other reference sources or sources of information. Programmable calculators are not permitted in examinations.

Final Examination

The final exam is three hours long and and consists of twenty multiple-choice questions. It covers material from Modules 4, 5, and 6 of the course.

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 assignments), 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.

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

Statement about Cheating

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

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.

GRADING AND EVALUATION

Your grade in the course will be determined as follows:

All assignments 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 D or higher on the weighted average of all assigned course work (e.g., exams, assignments, discussion postings, etc.).

STRATEGIES FOR SUCCESS

First Steps to Success

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

Study Tips

Consider the following study tips for success:

ACADEMIC INTEGRITY

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 outlined 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:

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 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 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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