MATH 654: Curricular Studies in Discrete Mathematics

Summer 1997

 

Instructor:   Theresa J. Grant                      Office:            4427 Everett Tower

Office Phone: 387-3842                                 E-Mail:        terry.grant@wmich.edu          

 

Office Hours tentatively scheduled for

            Mondays 1 - 2 pm,      Thursdays  9 - 10 am,    and by appointment

 

Course Goals

To explore the teaching and learning of discrete mathematics recommended for inclusion in the secondary school curriculum.

 

Course Materials

Discrete Mathematics Across the Curriculum K-12 , the 1991 Yearbook of the National Council of Teachers of Mathematics, and additional readings to be distributed during the semester.  A $5.00 fee payable to the Department of Mathematics and Statistics is required to support the cost of duplicating these additional materials.

 

Course Requirements

Students are expected to attend each class session, participate in and complete all activities, and share in discussions of assigned activities and readings.   The following are tentative plans for the weighting of course requirements:

                        15-25%           Assignments     (primarily in-class)

                        25-35%           Group Project    (all written portions due on Monday July 21)

                        20-30%           Exam 1              (July 18th or July 21)

                        25-30%           Exam 2              (August 4 or 5)

 

Course Grades

If all the course requirements have been met, course grades will be assigned according to the following scale:

            A         93% - 100%                CB       77% - 81%                  D         60% - 65%

            BA                  88% - 92%                  C         71% - 76%                  E          Below 60%

            B         82% - 87%                  DC      66% - 70%     

 

Policy on Incompletes  

Three conditions must be met for an incomplete:   (1) you must have completed most of the coursework;  

(2)  your current grade is C or better and  (3)  circumstances beyond your control prevent the completion of the coursework on time.  All incomplete grades must be approved by the Chair of the Mathematics Department.

Tentative Schedule

 

DATE	TOPIC	Assignment
June 30	Intro	Read Preface, and Chapters 1& 2
July 1	What is Discrete Mathematics? Graph Theory Quiz 1	Read Chapters 3 & 4 Project reading
3	Graph Theory Quiz 2	“Count your vote” Project reading
7	Decision Making (Voting Systems) Quiz 3	Read Chapter 6 Project Preparation
8	Project Lab	Read Chapter 9 Project Development
10	Generating Patterns Project Lab Quiz 4	Project Development
11	Project Lab, Project Approvals	TBA Project Development
14	Relations and Functions	TBA Project Development
15	Counting I Project Quiz 5
17	Counting II Project #2
18	Midterm Exam
21		All Projects Due
22	Matrices Project	TBA
24	Induction Project Quiz 6
26	Linear Programming Project
28	Algorithms Project Quiz 7
29	Recursion Project
31	Game Theory I Project Quiz 8
August 1	Game Theory II Project Quiz 9
4
5	FINAL EXAM
7	Chaos Project
8	Quiz 10 (double)