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MARMARA UNIVERSITY  -  Faculty of Engineering
Computer Science Engineering
SYLLABUS
2013-2014   Fall Semester
Course Code Course Name Course Type Weekly Course Hours Credits ECTS Campus / Weekly Time & Classroom Schedule
T A L
MATH257 Discrete Mathematics Compulsory 3 0 0 3 7 Göztepe
Thursday 12:30-13:20
Friday      14:30-16:20
at MC163
Prerequisite   Prerequisite to  
Course Lecturer Öğr. Gör. Birol GENÇYILMAZ Office Hours Schedule Thursday 15:00-17:00
E-mail birol@marmara.edu.tr
Phone 216 348 02 92 / 253 Office / Room No 453
Teaching Assistant(s)   Phone  
E-mail   Office / Room No  
Course
Objectives
The purpose of this course is to present the basic theory of propositions and mathematical logic, proof methods, finite-infinite sets, mathematical induction, relations, recurrence relations,  graphs, counting techniques and probability to computer engineering students.
Textbooks
and/or
References
1. Discrete Mathematics 5th edition,  Ross & Wright, Prentice Hall
   
   
   
   
 
WEEK Date TOPICS Reference No - Section
Week 1   Meeting, objectives of courses, etc.  
Week 2   Sets and Subsets, Set Operations, Laws of Algebra 1-1,1-2,1-3,1-4
Week 3   Functions and Sequences 1-5,1-6
Week 4   Elementary Logic, Propositional Calculus 2-1,2-2
Week 5   Methods of Proof, Logic in Proof 2-3,2-4,2-5
Week 6   Quantifiers, Predicate Calculus 13-1,13-2
Week 7   Relations, Graphs and Directed Graphs 3-1,3-2
Week 8   Matrices, Matrix Multiplication, Division Algorithm 3-3,3-4,3-5
Week 9   Loop Invariants, Mathematical Induction 4-1,4-2,4-6
Week 10   Recurrence Relations, Recursive Definitions 4-4,4-5
Week 11   Basic Counting Techniques, Elementary Probability 5-1,5-2
Week 12   Inclusion, Exclusion and Binomial Methods 5-3.
Week 13   Counting and Partitions 5-4.
Week 14   Boolean Algebra, Logic Networks,Karnaugh Maps 10-1,10-2,10-3,10-4
Evaluation
Tools
Evaluation Tool Quantity Date Weight in
Total (%)
Weight in
Semester Evaluation (%)
Final Exam 1   40 0
Final Make-up Exam (if exists) 1   40 0
Semester Evaluation 60 100
Midterm(s) 1   30 50,0
Quiz(zes) 3   15 25,0
Project(s)        
Homework(s) 10   15 25,0
Laboratory        
Other        
 
***     Lifelong Learning Programme (LLP)     *** Language of Instruction: English
Evaluation Tool Quantity Student Workload Hours   Evaluation Tool Quantity Student Workload Hours
Theoretical Hours -- 42,0   Applied Hours -- 0,0
Midterm 1 15,0   Final 1 15,0
Quiz 3 24,0   Project    
Laboratory       Homework 10 30,0
Atelier       Seminar    
Field Study       Presentation    
Other       Self Study   49,0
TOTAL :  15 175,0
Recommended ECTS Credit (Total Hours / 25) : 7