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CS 208 Discrete Mathematics
Loy, Kevin John


Mission Statement: Park University provides access to a quality higher education experience that prepares a diverse community of learners to think critically, communicate effectively, demonstrate a global perspective and engage in lifelong learning and service to others.

Vision Statement: Park University, a pioneering institution of higher learning since 1875, will provide leadership in quality, innovative education for a diversity of learners who will excel in their professional and personal service to the global community.

Course

CS 208 Discrete Mathematics

Semester

S2F 2012 MY

Faculty

Loy, Kevin John

Title

Professor

Degrees/Certificates

Master of Education--The Ohio State University
Masters of Science in Mathematics--Colorado School of Mines
Doctorate of Philosophy--The Ohio State University

Office Location

U.S. Army Manpower Analysis Agency, 5915 16th Street    Bldg 238, Fort Belvoir, VA  22060-5589

Daytime Phone

703-805-5986

E-Mail

kevin.loy@park.edu

kevin.j.loy.civ@mail.mil

Semester Dates

18 March to 12 May

Class Days

--T----

Class Time

5:00 - 10:20 PM

Prerequisites

MA125 (equivalent or higher)

Credit Hours

3


Textbook:
 

Discrete Mathematics, 5th edition, Dossey, Otto, Spence and Vanden Eynden, 2006

ISBN: 0-321-30515-9

Textbooks can be purchased through the MBS bookstore

Textbooks can be purchased through the Parkville Bookstore

Additional Resources:

McAfee Memorial Library - Online information, links, electronic databases and the Online catalog. Contact the library for further assistance via email or at 800-270-4347.
Career Counseling - The Career Development Center (CDC) provides services for all stages of career development.  The mission of the CDC is to provide the career planning tools to ensure a lifetime of career success.
Park Helpdesk - If you have forgotten your OPEN ID or Password, or need assistance with your PirateMail account, please email helpdesk@park.edu or call 800-927-3024
Resources for Current Students - A great place to look for all kinds of information http://www.park.edu/Current/.


Course Description:
CS208 Discrete Mathematics: This course introduces the student to selected finite systems pertinent to the study of computer science. Course topics will include combinatorial problem solving, logic, Boolean algebra, combinatorial circuits, sets, relations, functions, proofs, mathematical induction,recurrence relations, graphs, trees, and counting techniques. Prerequisite: A grade of C or better in any math course >= MA125, or an ACT math score >= 23, or an SAT math score >= 510, or a COMPASS score >= 66 in the Algebra placement domain, or a COMPASS score 0-45 in the College Algebra placement domain. 3:0:3

Educational Philosophy:
 

The instructor's philosophy is based on constructivist view of learning which states that students construct their perception of reality. The Instructor provides guidance like lectures, assignments and tutoring but learning is placed entirely on student's shoulders. Full use of computer technology is one of the ways the instructor guides students.

The intent is to introduce students to many of the important concepts and procedures they will need in order to (1) evaluate such daily inputs as organizational reports, newspaper articles, radio and television commentaries, (2) improve their ability to make better decisions over a wide range of topics, and (3) improve their ability to measure and cope with changing conditions both at home and on the job.  The emphasis will be placed on explaining mathematical and algebraic procedures and interpreting the resulting conclusions

Learning Outcomes:
  Core Learning Outcomes

  1. Explain and solve problems involving logics, Boolean algebra, combinatorial circuits, sets, relations, and functions, proofs, mathematical induction, and recurrence relations.
  2. Explain and solve problems involving graphs, paths, circuits, graph coloring, directed graphs, shortest path algorithms
  3. Explain and solve problems involving trees, spanning trees, rooted trees, binary trees, and tree traversal algorithms.
  4. Explain and solve problems involving counting techniques such as permutations, combinations, binomial theorem, and probability.


Core Assessment:



For this course, the assessment is based on a final exam. There will be 4 questions in each of the 8 categories, i.e. Synthesis, Analysis,… etc. Thus, there will be 32 questions total in the final exam. Furthermore, all 4 questions for each category should cover all 4 learning outcomes.

Link to Class Rubric

Class Assessment:
   Students are expected to read the sections to be discussed in class prior to the class and be prepared to work examples and ask questions. Mathematics can only be learned through practice; therefore, 15% of your grade will be based on homework and attendance/participation. All examinations will be modeled from the homework problems, so there should be no surprises to students who have done the required homework. SHOW ALL OF YOUR WORK on homework assignments and exams! An answer with no work shown is either right or wrong; but, an answer showing your work may get some credit, even if it is not completely correct.

Grading:

Mini Project                              15%(15 points)                                  
Homework                                15%(15 points)   
Midterm                                    30%(30 points)   
Final Examination                      40%(40 points)    

Late Submission of Course Materials:
  As a rule, incomplete grades will not be given. Incomplete grades will, especially, not be given for student laziness (i.e. work not in on time; missing exams; student missing final…etc.) Exceptions to the rule do exist, however: If a death in the student's immediate family (spouse, child, parent, grandparent, sibling, aunt, or uncle) affects the overall performance of the student in the course or if the student misses a significant portion of class due to their hospitalization, the student may be allowed to petition for an incomplete and make up the work ASAP. The instructor retains the right to veto any such petition, or grant an incomplete in other unforeseen circumstance.

Classroom Rules of Conduct:
  Please respect the rights of other students in the class. Cell phones must be off or put on silent while class is in session.  If an emergency call is expected or must be made, please be respectful of others and do it outside of the classroom.

Course Topic/Dates/Assignments:
 

Week

Topic(s)

Chapter(s)

20MAR

Introduction to Combinatorial Problems and Techniques, Introduction to Logic and Proofs

1, Appendix A

27MAR

Sets, Relations and Functions,
Matix Operations

2, Appendix B

3APR

Graphs

4

10APR

Trees

5

17APR

(Mid-term Exam) Counting Theory, Network Flows

7, 8

24APR

Recurrence Relations and Generating Functions

9

1MAY

Combinatorial Circuits and Finite State Machines

10

8MAY

Presentations
Preparation for Final Exam - Take Final

1,2,4,5 and 7 - 10

AppendicesA/B

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 (www.park.edu/current or http://www.park.edu/faculty/).from Park University 2011-2012 Undergraduate Catalog Page 93

Plagiarism:
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 2011-2012 Undergraduate Catalog Page 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.

Park University 2011-2012 Undergraduate Catalog Page 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: http://www.park.edu/disability .



Rubric

CompetencyExceeds Expectation (3)Meets Expectation (2)Does Not Meet Expectation (1)No Evidence (0)
Synthesis                                                                                                                                                                                                                                                  
Outcomes
1, 2, 3, 4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
Demonstrate mastery of 4 questions Demonstrate mastery of 3 questions Demonstrate mastery of 2 questions Demonstrate mastery of 0-1 questions 
Analysis                                                                                                                                                                                                                                                   
Outcomes
1, 2, 3, 4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
Demonstrate mastery of 4 questions Demonstrate mastery of 3 questions Demonstrate mastery of 2 questions Demonstrate mastery of 0-1 questions 
Evaluation                                                                                                                                                                                                                                                 
Outcomes
1, 2, 3, 4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
Demonstrate mastery of 4 questions Demonstrate mastery of 3 questions Demonstrate mastery of 2 questions Demonstrate mastery of 0-1 questions 
Terminology                                                                                                                                                                                                                                                
Outcomes
1,2, 3, 4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
Demonstrate mastery of 4 questions Demonstrate mastery of 3 questions Demonstrate mastery of 2 questions Demonstrate mastery of 0-1 questions 
Concepts                                                                                                                                                                                                                                                   
Outcomes
1, 2, 3, 4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
Demonstrate mastery of 4 questions Demonstrate mastery of 3 questions Demonstrate mastery of 2 questions Demonstrate mastery of 0-1 questions 
Application                                                                                                                                                                                                                                                
Outcomes
1, 2, 3, 4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
Demonstrate mastery of 4 questions Demonstrate mastery of 3 questions Demonstrate mastery of 2 questions Demonstrate mastery of 0-1 questions 
Whole Artifact                                                                                                                                                                                                                                             
Outcomes
1,2, 3, 4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
Demonstrate mastery of 4 questions Demonstrate mastery of 3 questions Demonstrate mastery of 2 questions Demonstrate mastery of 0-1 questions 
Component                                                                                                                                                                                                                                                  
Outcomes
1, 2, 3, 4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
Demonstrate mastery of 4 questions Demonstrate mastery of 3 questions Demonstrate mastery of 2 questions Demonstrate mastery of 0-1 questions 

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Last Updated:2/20/2012 11:08:07 AM