Course Name

Turkish 
Müh. Sistem. Nümerik Analizi

English 
Numerical Analysis of Engineering Systems 
Course Code

GMI 131 
Credit 
Lecture
(hour/week) 
Recitation
(hour/week) 
Laboratory
(hour/week) 
Semester 
2

 
2 
1 
 
Course Language 
Turkish 
Course Coordinator 
Ata Bilgili

Course Objectives 
1. To develop an understanding of how basic engineering problems can be numerically formulated and solved using simple approximate methods consisting only of the four basic arithmetic operations.
2. To develop an understanding of the applicability and limits of numerical formulations.
3. To develop an understanding of the error concept in numerical computations and computer applications.
4. To teach the theory behind the numerical methods which are coded in the engineering and scientific computing class (BIL 108 or BIL 113).

Course Description 
Error analysis. Taylor series. Root finding methods. Solving linear algebraic equations. Optimization. Curve fitting. Leastsquares method. Interpolationextrapolation. Numerical differentiation and integration. Solving ordinary differential equations. Computers and numbers. Stability and error propagation. Polynomials. Initial value problems.

Course Outcomes 
Students who pass the course;
I. Know the fundamentals of numerical methods.
II. Formulate the problems defined in the course content in a way suitable for numerical analysis.
III. Select a suitable numerical method for the treatment of a given problem based on its limitations and advantages.
IV. Formulate a given problem as a function of a predefined error ratio. 
Prerequisite(s) 
(MAT 101 or MAT 101E or MAT 103 or MAT 103E min DD) 
Required Facilities 
A good handle on how to use calculators effectively. 
Other 

Textbook 
Chapra, S. C. & Canale R. P., Numerical Methods for Engineers, 7th Ed., McGrawHill Education, 992 p., ISBN13: 9780073397924, 2014. 
Other References 
Gilat, A., & Subramaniam, V., Numerical Methods for Engineers and Scientists, 3rd Ed., Wiley, 576 p., ISBN13: 9781118554937, 2013.
Karaboğa, N., Sayısal Yöntemler ve Matlab Uygulamaları, Nobel Yayıncılık, 384 p, 2012. 