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Course Information
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Course Description:
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This course uses set theory and logic, along with basic discrete structures, to develop skills in mathematical reasoning and applications. Number theory, modular arithmetic functions, matrices and graphs are used to develop skills in reading and writing formal proofs, invalidating arugments, and discovering counterexamples.
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Course Objectives:
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This course will use basic discrete structures in mathemmatics to promote understanding, and develop skills in the application of a) Set Theory Foundations, b) Aristotelian Logic, c) Mathematical Reasoning, and d) Reading and writing formal arguments and proofs.
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Prerequisites and Corequisites:
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Prerequisites for this course are Math 1910, Math 1920, and a course in Linear Algebra or Matrix Theory. These courses, along with some mathematical maturity, should assist the student in being successful.
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Course Topics:
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Topics to be covered include set theory, logic, direct and indirect proofs, proofs by contrapositive and contradiction, proof by cases, using various discrete structures such as number theory, functions, equations, inequalities, etc.
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Specific Course Requirements:
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Students should be comfortable in working with WebCT and accessing the internet. Some knowledge of HTML code (provided by instructor) may be needed for writing some proofs and completing some exams.
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Textbooks, Supplementary Materials, Hardware and Software Requirements
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Required Textbooks:
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Please visit the Virtual Bookstore to obtain current textbook information for this course: http://rodp.bkstr.com
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Supplementary Materials:
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Discrete Mathematics and Its Applications, Rosen, McGraw Hill, 2003.
A Transition to Advanced Mathematics, Smith, Eggen, Andre, Brooks Cole, 2000.
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Hardware Requirements:
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Software Requirements:
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The minimum requirements can be found at http://www.rodp.org/students/hardware_software.htm. Secific hardware requirements for this course include...(A list of software the student is required to purchase or download for the course, Real Player, Media Player, Acrobat Reader, Microsoft Office, etc).
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Instructor Information
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Please see the separate page inside the course to find instructor contact information as well as a statement of virtual office hours and other communication information.
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Assessment and Grading
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Testing Procedures:
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A statement describing the process students will need to have in place for proctors, online testing, etc.
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Grading Procedure:
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A detailed statement of how grades are related to or reflective of the expected learning outcomes. A statement of what constitutes high achievement in the course.
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Grading Scale:
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##-##---A
##-##---B
##-##---C
The grading scale should emphasize assignments, projects, and student participation in the learning community as well as timed quizzes and periodic examinations.
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Assignments and Participation
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Assignments and Projects:
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A sequenced list of assignments and projects arranged by course section or module with due dates if applicable.
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Class Participation:
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A statement that students must participate in all interactive aspects of the course if interaction is part of the course design. For example, students must communicate with other students in the chat room, students are expected to communicate with the instructor as a learning resource, students must check the course bulletin board frequently for announcements, and students must actively participate in threaded discussion events.
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Punctuality:
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A statement of course milestones to keep the students on track in an asynchronous environment.
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Course Ground Rules
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A reiteration and emphasis of certain rules and course expectations. For example, Participation is required, Expected to communicate with other students in team projects, Learn how to navigate in WebCT, Keep abreast of course announcements , Use the assigned college or university e-mail address as opposed a personal e-mail address, Address technical problems immediately, Observe course netiquette at all times.
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Guidelines for Communications
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Email:
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- Always include a subject line.
- Remember without facial expressions some comments may be taken the wrong way. Be careful in wording your emails. Use of emoticons might be helpful in some cases.
- Use standard fonts.
- Do not send large attachments without permission.
- Special formatting such as centering, audio messages, tables, html, etc. should be avoided unless necessary to complete an assignment or other communication.
- Respect the privacy of other class members
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Discussion Groups:
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- Review the discussion threads thoroughly before entering the discussion. Be a lurker then a discussant.
- Try to maintain threads by using the "Reply" button rather starting a new topic.
- Do not make insulting or inflammatory statements to other members of the discussion group. Be respectful of other's ideas.
- Be patient and read the comments of other group members thoroughly before entering your remarks.
- Be cooperative with group leaders in completing assigned tasks.
- Be positive and constructive in group discussions.
- Respond in a thoughtful and timely manner.
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Chat:
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- Introduce yourself to the other learners in the chat session.
- Be polite. Choose your words carefully. Do not use derogatory statements.
- Be concise in responding to others in the chat session.
- Be prepared to open the chat session at the scheduled time.
- Be constructive in your comments and suggestion
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Web Resources:
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Library
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The Tennessee Virtual Library is available to all students enrolled in the Regents Degree Program. Links to library materials (such as electronic journals, databases, interlibrary loans, digital reserves, dictionaries, encyclopedias, maps, and librarian support) and Internet resources needed by learners to complete online assignments and as background reading must be included in all courses.
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Students With Disabilities
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Qualified students with disabilities will be provided reasonable and necessary academic accommodations if determined eligible by the appropriate disability services staff at their home institution. Prior to granting disability accommodations in this course, the instructor must receive written verification of a student's eligibility for specific accommodations from the disability services staff at the home institution. It is the student's responsibility to initiate contact with their home institution's disability services staff and to follow the established procedures for having the accommodation notice sent to the instructor.
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Syllabus Changes
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The instructor reserves the left to make changes as necessary to this syllabus. If changes are necessitated during the term of the course, the instructor will immediately notify students of such changes both by individual email communication and posting both notification and nature of change(s) on the course bulletin board.
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Technical Support
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Telephone Support:
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If you are having problems logging into your course,
timing out of your course, using your course web site tools, or other technical problems, please contact the Eduprise Help Desk by calling
1-877-725-4357 (toll free)
or go to their website at:
http://eduprise.custhelp.com
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