|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 Coordinator||Prof.Dr. Kadir AYDIN|
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.
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.
|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.|
|Course's Contribution To Program|
|No||Program Learning Outcomes||Contribution|
Utilizes computer systems and softwares
Is equipped with a variety of skills and techniques in engineering.
Generates solutions for the problems in other disciplines by using statistical techniques
Designs a system, component or process so as to meet various engineering needs within technical, economic, environmental, manufacturability, sustainability limitations.
Comprehends visual, database and web programming techniques and has the ability of writing objective program
Examines and learns applications in an enterprise independently, makes critical assesments of problems, formulates problems and selects suitable techniques for solutions.
Leads the identification, development and usage of a product or production method.
Is aware of the need for lifelong learning and self-renew
Has effective oral and written English for technical or non-technical use
Uses computers very effectively, makes computer-aided drafting, designs, analysis, and presentations.
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.
Is aware of the technical and ethical responsibilities, has inquisitive and innovative quality
|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|
|7||Eigenvalue problems, solution by analytical method||Lecture notes||Lecture|
|8||Midterm examination||Writing exam||Testing|
|9||Force method for the biggest eigenvalue , Force method for the smallest eigenvalue||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|
|15||Numerical solutions of Differantial equations||Lecture notes||Lecture|
|16-17||Final Exam||Writing exam||Testing|
|Recommended or Required Reading|