Transcript CTIS154-01,02,03 Discrete Mathematics II

CTIS154-01,02,03
Discrete Mathematics II
Kadir A. Peker
[email protected]
Tel: x5406
Outline
• Book:
– Discrete Mathematics (6th Edition)
Richard Johnsonbaugh
• Will follow the book closely
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3-4 weeks GRAPHS (Ch 8)
3 weeks TREES (Ch 9)
2 weeks BOOLEAN & COMBINATORIAL CIRCUITS (Ch 11)
3 weeks AUTOMATA, GRAMMARS, LANGUAGES
• Home page:
– www.bilkent.edu.tr/~kpeker (Schedule, syllabus etc)
– STARS
WEEK-1
Introduction. Introduction to graphs.
WEEK-2
Paths and cycles. Hamiltonian cycles and the traveling salesman problem.
WEEK-3
A shortest path algorithm.
WEEK-4
Representation and isomorphism of graphs. Planar graphs and Euler's formula.
WEEK-5
Introduction to trees, terminology.
WEEK-6
Spanning trees. Minimal spanning trees.
WEEK-7
Binary trees. Tree traversal. Decision trees and game trees.
WEEK-8
MIDTERM WEEK
WEEK-9
Boolean circuits, properties. Boolean algebras.
WEEK-10
Boolean functions, circuits synthesis. Applications.
WEEK-11
Sequential circuits and finite-state machines.
WEEK-12
Finite state automata. Languages and grammars.
WEEK-13
Non-deterministic FSA. Relationships between languages and automata.
WEEK-14
Review.
Grading
•
•
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•
•
Midterm 1
Midterm 2
Final
Quiz
HW
25%
25%
35%
10%
5%
• Attandance will be collected
HOMEWORK 5%
– Once every 1-2 week
– Will drop 2 worst of homework grades
– %20 off each late day (starting after class, same day)
– May grade only some problems in the HW
(without telling beforehand)
– Do not copy from others (but you can discuss)
• Want you to:
1-review during the week (open the book at least once)
2-Learn the mechanics of problem solving (you may think you
know when you see it in the class; but you don’t, until you do it
yourself)
– Some quiz questions from HW (same or similar)
Other Grading
• QUIZ 10%
– 2-4 quizes (will let you know before a quiz)
• Midterms may be outside the midterm
week (will decide with Satilmis Topcu)
Office Hours (Tentative)
Monday
Tuesday
Wednesday
08:40 - 09:30
Thursday
Friday
CTIS154-01 C216
CTIS154-01
C216
09:40 - 10:30
CTIS154-02 C216
10:40 - 11:30
Office Hour
11:40 - 12:30
Office Hour
12:40 - 13:30
13:40 - 14:30
14:40 - 15:30
15:40 - 16:30
CTIS154-02
C216
CTIS154-03
C216
EEE 393-01
Office Hour
EEE 393-01
Department
Meeting
CTIS154-03 C216
Commitee
Meeting
16:40 - 17:30
Other times: E-mail preferred. Can call. Can drop by and see if I am busy or not.