COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Numerical Analysis AEN   261 3 3 3 4

Prerequisites and co-requisites Yok
Recommended Optional Programme Components None

Language of Instruction English
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Kadir AYDIN
Instructors
Prof.Dr.MEHMET BİLGİLİ1. Öğretim Grup:A
 
Assistants
Goals
The objective of this course is to teach the language of numerical methods, logic and introduction to mathematical calculations in engineering, and application of numerical methods into several science, industry and engineering problems.
Content
Introduction to numerial methods; Error concept in numerical analysis; solution methods of nonlinear equations; solution of linear equation systems; solution methods of eigenvalue problems; approximate methods; interpolation, numerical integral, numerical differentiation.

Learning Outcomes
1) 1) Describes the main logic of the numerical methods,
2) 2) Solves engineering problems by using the gained knowledge from this course,
3) 3) Defines and applies the appropriate numerical method for any engineering problem,
4) 4) Analyzes linear equation systems,
5) 5) Calculates numerical differentiation and numerical integral.
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Utilizes computer systems and softwares
X
2
Is equipped with a variety of skills and techniques in engineering.
X
3
Generates solutions for the problems in other disciplines by using statistical techniques
X
4
Designs a system, component or process so as to meet various engineering needs within technical, economic, environmental, manufacturability, sustainability limitations.
X
5
Comprehends visual, database and web programming techniques and has the ability of writing objective program
X
6
Examines and learns applications in an enterprise independently, makes critical assesments of problems, formulates problems and selects suitable techniques for solutions.
X
7
Leads the identification, development and usage of a product or production method.
X
8
Is aware of the need for lifelong learning and self-renew
X
9
Has effective oral and written English for technical or non-technical use
X
10
Uses computers very effectively, makes computer-aided drafting, designs, analysis, and presentations.
X
11
Improves constantly itself , as well as professional development scientific, social, cultural and artistic fields according to his/her interests and abilities identifying needs of learning.
X
12
Is aware of the technical and ethical responsibilities, has inquisitive and innovative quality
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Introduction, Error concept in numerical methods Lecture notes Lecture
2 Nonlinear equation system, root of nonlinear equations Lecture notes Lecture
3 Bisection method, Newton Raphson method Lecture notes Lecture
4 Secant method, linear system of equations, direct methods Lecture notes Lecture
5 Gauss Elimination method Lecture notes Lecture
6 LU decomposition method Lecture notes Lecture
Problem Solving
7 Eigenvalue problems, solution by analytical method Lecture notes Lecture
Problem Solving
8 Midterm examination Writing exam Testing
9 Force method for the biggest eigenvalue , Force method for the smallest eigenvalue Lecture notes Lecture
Problem Solving
10 Interpolation Lecture notes Lecture
11 Interpolation polinomials Lecture notes Lecture
12 Numerical Integral, Trapezoidal and Simpson methods Lecture notes Lecture
13 Gussian Quadrature formulae Lecture notes
14 Numerical Differentiation Lecture notes Lecture
Problem Solving
15 Numerical solutions of Differantial equations Lecture notes Lecture
Problem Solving
16-17 Final Exam Writing exam Testing

Recommended or Required Reading
Textbook
Additional Resources