Instructor: Karen E. Donnelly. Office: 257 Core Building
Office Phone: 6297 Home Phone: 866-8997 email alias:
karend
Office Hours:
Donnelly’s home page URL:
www.saintjoe.edu/~karend
Discrete Math Web Page URL: www.saintjoe.edu/~karend/m121
Text:
Rosen, Kenneth H. Discrete Mathematics and Its Applications,
4th Edition New York: McGraw Hill, 1999.
Course Objectives:
1. To study fundamentals mathematical concepts of logic, sets, and
functions.
2. To refine mathematical reasoning skills through the study of mathematical
logic and methods of proof.
3. To develop problem solving skills for enumeration.
4. To investigate discrete structures, including sets, matrices, permutations,
relations, graphs, trees, and finite-state machines.
5. To apply the above to applications with an emphasis on computer
science applications.
6. To investigate algorithm development, analysis and verification.
Course Outline:
1. Logic, sets, and functions (6 class periods). (Chapter 1)
2. Algorithms, Integers, Matrices. (6 class periods). (Chapter 2)
3. Mathematical Reasoning; Methods of proof, Recursive Definitions.
(6 class periods)
(Chapter 3)
4. Counting Techniques (5 class periods) (Chapter 4: 4.1--4.4, 4.7)
5. Recurrence Relations (3 class periods) (Chapter 5: 5.1, 5.3)
6. Relations (4 class periods ) (Chapter 6: 6.1, 6.2, 6.3)
7. Graph Theory ( 6 class periods) (Chapter 7: 7.1 -- 7.5)
8. Modeling Computation ( 5 class periods) (Chapter 10: 10.1 -- 10.4)
Tentative Exam Schedule:
Grading Scale:
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Expectations and Requirements:
Special Note: If you are a student with a disability, please meet with me immediately to discuss the accommodations you will need during class activity, examinations, and out of class assignments in order to participate fully and demonstrate your abilities.
1. Academic Honesty: Plagiarism or other forms of academic dishonesty
on any assignments, tests, or quizzes will not be tolerated. If the instructor
finds that a student has engaged in dishonesty, the student may be referred
to the Dean of Academic Affairs for appropriate action.
2. Quizzes and Exams: Students are expected to be present for
all exams. No exams or quizzes may be made up unless the
student has contacted the instructor and received permission prior
to the date of the original exam or quiz. This includes students participating
in athletics who must arrange to take the quiz or exam on or before
the scheduled date.
3. Assignments: Assignments, unless otherwise specified by the
instructor, are to be completed individually. While students are
encouraged to consult each other for ideas for assignments, the
solutions should be completed individually. Any help one student gives
another should be instructional help only. If the instructor feels that
a student has not completed an assignment individually, the instructor
may question the student on that assignment. The student should be able
to explain how he/she worked the problem and should be able to work similar
problems. Late assignments will not be accepted without permission.
If
permission is given, the following penalties will be assigned: