All Students should be aware
that the Department of Mathematical Sciences takes the NJIT Honor code very
seriously and enforces it strictly. This means there must not be any forms
of plagiarism, i.e., copying of homework, class projects, or lab assignments, or
any form of cheating in quizzes and exams. Under the Honor Code, students
are obligated to report any such activities to the Instructor.
Spring 2004
M, R: TIER 108, 1:00 PM – 2:25
PM
v Instructor: Prof. Kappraff
v Office: 208 A
v Phone: 973-596-3490
v Email: kappraff@adm.njit.edu
v Office Hours:
TBA
Textbook: Discrete Mathematics and its Applications –
Rosen
Applications of Discrete Mathematics – Michaels and
Rosen
Additional Notes
Attendance is essential for this course. You must e-mail me if you cannot attend a class. Only two unexcused absences will be permitted. Please make every effort to arrive at class no later than 10 minutes after the beginning of the period.
Grading Policy: The grade will be based on a midterm exam and a final. In addition students will be asked to create a computer program to implement some aspect of the course. Additional graded assignments will be given over the duration of the course.
|
Week |
Topic |
Sections |
|
1 |
Graphs and Maps, Introduction to the Laws of form |
7.1-7.8, Notes |
|
2 |
Euler and Hamilton paths, Djiksta’s Algorithm Chinese Postman Problem |
7.5, 7.6, Ch. 20, Notes |
|
3 |
Trees – Introduction to trees, spanning trees, minimal spanning trees, Huffman trees Kruskal’s algorithm. |
8.1, 8.2, 8.5, 8.6 |
|
4 |
Tree traversal, tree sorting |
8.3, 8.4 |
|
5 |
Network flows |
Ch. 23, Notes |
|
6 |
Stirling numbers |
Ch. 6, Notes |
|
7 |
Catalan numbers |
Ch. 7, Notes |
|
8 |
Burnside-Polya Counting Methods |
Ch. 12, Notes |
|
9 |
Languages and grammars, finite state machines |
10.1, 10.2 |
|
Midterm Exam | ||
|
10 |
Finite state machines |
10.3 |
|
11 |
Language recognition, Kleene’s theorem, Turing machines |
10.4, 10.5 |
|
12 |
Kehonen maps |
Notes |
|
13 |
Petrie Nets |
Ch. 24 |
|
14 |
Primitive Shift Registers |
Notes |
|
Final
Exam | ||
Class
Policies:
Attendance and
Participation: Students must attend all
classes. Absences from class will inhibit your ability to fully participate in
class discussions and problem solving sessions and, therefore, affect your
grade. Tardiness to class is very disruptive to the instructor and students and
will not be tolerated.
Makeup Exam
Policy: There will be no makeup
exams, except in rare situations where the student has a legitimate reason for
missing an exam, including illness, death in the family, accident, requirement
to appear in court, etc. The student must notify the Math office and the
Instructor that he/she will miss an exam. In all cases, the student must present
proof for missing the exam, e.g., a doctor's note, police report, court notice,
etc., clearly stating the date AND times.
Cellular
Phones: All cellular phones and
beepers must be switched off during all class times.
Last revised: 01/08/04