COURSE INFORMATON
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 Type
Course Coordinator Dr. Lec. Uyesi Zeynep ÖZKURT
Instructors
Dr. Öğr. ÜyesiZEYNEP ÖZKURT1. Öğretim Grup:A
Dr. Öğr. ÜyesiZEYNEP ÖZKURT2. Öğretim Grup:A
 
Assistants
Goals
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.
Content
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

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
X
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.

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
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
16-17 FINAL EXAM

Recommended or Required Reading
TextbookBehiç Çağal (1989), Sayısal Analiz, Seç Yayın Dağıtım, İstanbul.
  Lee W. Johnson, R. Dean Riess (1982) Numerical Analysis, Addison-Wesley Publishing Company.
Additional Resources