1. CTIS154-01,02,03 Discrete Mathematics II Kadir A. Peker kpeker@bilkent.edu.tr Tel: x5406

2. Outline Book: –Discrete Mathematics (6th Edition) Richard Johnsonbaugh Will follow the book closely –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)www.bilkent.edu.tr/~kpeker –STARS

3. 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.

4. Grading Midterm 1 25% Midterm 2 25% Final 35% Quiz 10% HW 5% Attandance will be collected

5. 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)

6. 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)

7. Office Hours (Tentative) MondayTuesdayWednesdayThursdayFriday 08:40 - 09:30 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 CTIS154-02 C216 EEE 393-01 14:40 - 15:30 Office Hour 15:40 - 16:30 CTIS154-03 C216 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.