COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Lattice Theory * MTS   384 6 2 2 3

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Dr. Lec. Uyesi Leyla BUGAY
Instructors
Dr. Öğr. ÜyesiLEYLA BUGAY1. Öğretim Grup:A
Dr. Öğr. ÜyesiLEYLA BUGAY2. Öğretim Grup:A
 
Assistants
Goals
Students recognize some basic definitions,examples, theorems and problems about Lattices.
Content
Some basic definitions and examples about Lattices, Isomorphic Lattices and sublattices, Distributive and Modular Lattices, Comlete and Algebraic Lattices, Closure Operators.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Is able to prove Mathematical facts encountered in secondary school.
X
2
Recognizes the importance of basic notions in Algebra, Analysis and Topology
X
3
Develops maturity of mathematical reasoning and writes and develops mathematical proofs.
X
4
Is able to express basic theories of mathematics properly and correctly both written and verbally
X
5
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.
X
6
Expresses clearly the relationship between objects while constructing a model
X
7
Draws mathematical models such as formulas, graphs and tables and explains them
X
8
Is able to mathematically reorganize, analyze and model problems encountered.
X
9
Knows at least one computer programming language
10
Uses effective scientific methods and appropriate technologies to solve problems
X
11
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
12
In addition to professional skills, the student improves his/her skills in other areas of his/her choice such as in scientific, cultural, artistic and social fields
13
Knows programming techniques and is able to write a computer program
14
Is able to do mathematics both individually and in a group.
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Definitions of lattices and examples Required readings
2 Definitions of lattices and examples Required readings
3 Isomorphic Lattices, and Sublattices Required readings
4 Distributive and Modular Lattices Required readings
5 Distributive and Modular Lattices Required readings
6 Complete Lattices, Equivalence Relations, and Algebraic Lattices Required readings
7 Closure Operators Required readings
8 Mid-term exam Summary
9 Closure Operators Required readings
10 Definitions of universal algebra and examples Required readings
11 Definitions of universal algebra and examples Required readings
12 Isomorphic Algebras, and Subalgebras Required readings
13 Algebraic Lattices and basis theorem Required readings
14 Algebraic Lattices and basis theorem Required readings
15 Solving problems Required readings
16-17 Final Exam summary

Recommended or Required Reading
TextbookA course in universal algebra, Stanley Burris, H.P. Sankappanavar
Additional Resources