|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 Coordinator||Assoc.Prof.Dr. Dilek KAHYALAR|
Students recognize some basic definitions,examples, theorems and problems about Lattices.
Some basic definitions and examples about Lattices, Isomorphic Lattices and sublattices, Distributive and Modular Lattices, Comlete and Algebraic Lattices, Closure Operators.
|Course's Contribution To Program|
|No||Program Learning Outcomes||Contribution|
Is able to prove Mathematical facts encountered in secondary school.
Recognizes the importance of basic notions in Algebra, Analysis and Topology
Develops maturity of mathematical reasoning and writes and develops mathematical proofs.
Is able to express basic theories of mathematics properly and correctly both written and verbally
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.
Expresses clearly the relationship between objects while constructing a model
Draws mathematical models such as formulas, graphs and tables and explains them
Is able to mathematically reorganize, analyze and model problems encountered.
Knows at least one computer programming language
Uses effective scientific methods and appropriate technologies to solve problems
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
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
Knows programming techniques and is able to write a computer program
Is able to do mathematics both individually and in a group.
|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|
|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|
|Recommended or Required Reading|
|Textbook||A course in universal algebra, Stanley Burris, H.P. Sankappanavar|