GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
LATTICE THEORY/6131305
Course Title: LATTICE THEORY
Credits 3 ECTS 7.5
Course Semester 1 Type of The Course Elective
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
The student will comprehend ordered structures and lattices.
The student will comprehend the importance of ordered structures in mathematics.
The student will learn how to use ordered structures in set theory, algebra and topology.
 -- MODE OF DELIVERY
  Face to face
 --WEEKLY SCHEDULE
1. Week  Ordered sets and diagrams
2. Week  Constructing and de-constructing of ordered sets
3. Week  Down-sets and up-sets
4. Week  Lattices and ordered sets
5. Week  Lattices as algebraic structures, sublattices, products and homomorpisms
6. Week  Ideals and filters, complete lattices and intersection structures
7. Week  Chain conditions and completeness, join-irreducible elements
8. Week  Chain conditions and completeness, join-irreducible elements
9. Week  Formal concepts analysis: Contexts and their concepts
10. Week  Modular, distributive and Boolean lattices: The M3-N5 theorem
11. Week  Boolean lattices and Boolean algebras
12. Week  Representation: Building blocks for lattices
13. Week  Representation: Finite Boolean algebras and finite distributive lattices
14. Week  Congruences
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
30
 Assignment
1
20
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
50
 Percentage of Final Exam to Total Score  
50
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
0
0
 Reading Tasks
14
6
84
 Searching in Internet and Library
4
5
20
 Material Design and Implementation
0
0
0
 Report Preparing
0
0
0
 Preparing a Presentation
0
0
0
 Presentation
0
0
0
 Midterm Exam and Preperation for Midterm Exam
1
14
14
 Final Exam and Preperation for Final Exam
1
28
28
 Other (should be emphasized)
0
0
0
 TOTAL WORKLOAD: 
188
 TOTAL WORKLOAD / 25: 
7.52
 Course Credit (ECTS): 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1X
2X
3X
4X
5X
6X
7X
8X
9X
10X
11X
12X
 -- NAME OF LECTURER(S)
   (Prof. Ercan ALTINIŞIK)
 -- WEB SITE(S) OF LECTURER(S)
   (websitem.gazi.edu.tr/site/ealtinisik/)
 -- EMAIL(S) OF LECTURER(S)
   (ealtinisik@gazi.edu.tr)