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
1To be able to develop their knowledge of theory and applications at master degree depending on the competencies acquired in undergraduate level.X
2To be able to recognize different problems encountered in mathematics and to be able to make studies for their solutions.X
3To be able to formulate new solutions with scientific methods mostly based on analysis and synthesis.X
4To be able to carry out his/her works either independently or in groups within a project considering his/her knowledge on the field he/she works in a critical approach.X
5To be able to continue his/her works considering social, scientific and ethical values.X
6To be able to follow scientific and social developments related to his/her field.X
7To be able to carry out his/her works within the framework of quality management, workplace safety and environmental awareness and to be able to present systematically his/her works using various methods like written, oral or visual.X
8To be able to use methods of accessing knowledge effectively in accordance with ethical values.X
9To be able to use knowledge in other disciplines by combining it with mathematical information.X
10To be able to make activities in the awareness of need for lifelong learning.X
11To be able to make connections between mathematical and social concepts and produce solutions with scientific methods.X
12To be able to use his/her mathematical knowledge in technology.X
 -- 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)