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FIRST CYCLE - BACHELOR'S DEGREE
FACULTY OF ECONOMICS & ADMINISTRATIVE SCIENCES
ECONOMICS DEPARTMENT
218 ECONOMICS (Evening Classes)
Course Information
Course Learning Outcomes
Course's Contribution To Program
ECTS Workload
Course Details
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COURSE INFORMATION
Course Code
Course Title
L+P Hour
Semester
ECTS
YBS 252
DISCRETE MATHEMATICAL STRUCTURES
3 + 0
5th Semester
5
COURSE DESCRIPTION
Course Level
Bachelor's Degree
Course Type
Elective
Course Objective
Purpose of this course is to teach fundamental concepts of Discrete Mathematical Structures.
Course Content
Methods of proofs. Sets and subsets. Properties of sets and relations on sets. Counting principles, pigeonhole principle, permutations and combinations. Recurrence relations. Matrices and matrix representations of relations. Directed graphs, Hasse diagrams, Lattices. Boolean algebras and properties of Boolean algebras.
Prerequisites
No the prerequisite of lesson.
Corequisite
No the corequisite of lesson.
Mode of Delivery
Face to Face
COURSE LEARNING OUTCOMES
1
Lists basic concepts of sets
2
Defines basic metods of proofs
3
Defines principles of counting
4
Recognizes relations and digraphs
5
Explains properties of Hasse diagrams and lattices
6
Lists properties of Boolean algebras
COURSE'S CONTRIBUTION TO PROGRAM
Data not found.
ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities
Quantity
Duration (Hour)
Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)
14
3
42
Hours for off-the-classroom study (Pre-study, practice)
13
3
39
Assignments
1
10
10
Mid-terms
1
13
13
Final examination
1
26
26
Total Work Load
ECTS Credit of the Course
130
5
COURSE DETAILS
Select Year
All Years
2017-2018 Spring
Course Term
No
Instructors
Details
2017-2018 Spring
2
SEZAİ TOKAT
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Course Details
Course Code
Course Title
L+P Hour
Course Code
Language Of Instruction
Course Semester
YBS 252
DISCRETE MATHEMATICAL STRUCTURES
3 + 0
2
Turkish
2017-2018 Spring
Course Coordinator
E-Mail
Phone Number
Course Location
Attendance
Prof. Dr. SEZAİ TOKAT
stokat@pau.edu.tr
İİBF B0116
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Goals
Purpose of this course is to teach fundamental concepts of Discrete Mathematical Structures.
Content
Methods of proofs. Sets and subsets. Properties of sets and relations on sets. Counting principles, pigeonhole principle, permutations and combinations. Recurrence relations. Matrices and matrix representations of relations. Directed graphs, Hasse diagrams, Lattices. Boolean algebras and properties of Boolean algebras.
Topics
Weeks
Topics
1
Set Theory, set operations
2
Relations
3
Functions and Algoritms
4
Propositional logic
5
Predicate logic
6
Predicate logic. Formal and informal proofs
7
Techniques of counting
8
Advanced Counting Techniques, Recursion
9
MIDTERM
10
Graph Theory
11
Directed Graphs
12
Binary Trees
13
Properties of the Integers
14
Ordered Sets and Lattices
Materials
Materials are not specified.
Resources
Resources
Resources Language
Seymour Lipschutz, Marc Lipson, Schaums Outline of Theory and Problems of DISCRETE MATHEMATICS, third edition, McGRAW-HIL, 2007.
Türkçe
Course Assessment
Assesment Methods
Percentage (%)
Assesment Methods Title
Final Exam
60
Final Exam
Midterm Exam
40
Midterm Exam
L+P:
Lecture and Practice
PQ:
Program Learning Outcomes
LO:
Course Learning Outcomes
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Home Page
About University
Name And Address
Acedemic Authorities
General Discription
Academic Calendar
General Admission Requirements
Recognition of Prior Learning
General Registration Procedures
ECTS Credit Allocation
Academic Guidance
Information For Students
Cost Of Living
Accommodation
Meals
Medical Facilities
Facilities for Special Needs Students
Insurance
Financial Support for Students
Student Affairs
Learning Facilities
International Programs
Language Courses
Internships
Sports Facilities and Leisure Activities
Student Associations
Practical Information for Mobile Students
Degree Programmes