|Course Title||Code||Semester||L+P Hour||Credits||ECTS|
|Numerical Analysis *||MT 333||5||3||3||5|
|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. Zeynep ÖZKURT|
This course aims to introduce a variety of methods of numerical analysis and to solve the mathematical problems in different areas with the methods of numerical analysis.
Meaning and Importance of Numerical Analysis, Number systems and general information about error, Solution methods of nonlinear equations, Solution methods of linear equations, interpolation, numerical integration
|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||Importance and meaning of numerical analysis, Number systems and errors in numerical procedures||Required readings and solving problems|
|2||Number systems and errors in numerical procedures||Required readings and solving problems|
|3||Bisection and Newtons method||Required readings and solving problems|
|4||Bairstow method||Required readings and solving problems|
|5||Gauss and Gauss-Jordan Methods||Required readings and solving problems|
|6||Gauss and Gauss-Jordan Methods for finding Inverse of a matrix and Determinant||Required readings and solving problems|
|7||Gauss-Seidel method for solving Linear equations||Required readings and solving problems|
|8||Mid Term Exam|
|9||Interpolation, Linear interpolasyon||Required readings and solving problems|
|10||Lagrange interpolation||Required readings and solving problems|
|11||Divided differences interpolation||Required readings and solving problems|
|12||Differences İnterpolation||Required readings and solving problems|
|13||Calculation Methods for Numerical integration||Required readings and solving problems|
|14||Calculation Methods for Numerical integration on an ınterval||Required readings and solving problems|
|15||Exercises||Required readings and solving problems|
|Recommended or Required Reading|
|Textbook||Behiç Çağal (1989), Sayısal Analiz, Seç Yayın Dağıtım, İstanbul. |
Lee W. Johnson, R. Dean Riess (1982) Numerical Analysis, Addison-Wesley Publishing Company.