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# Course Information

 Course Name Turkish Sayısal Yöntemler English Numerical Methods Course Code MAT 202E Credit Lecture (hour/week) Recitation (hour/week) Laboratory (hour/week) Semester 1 3 3 - - Course Language English Course Coordinator Mehmet Barış Can Ülker Course Objectives This course is an introduction to numerical modeling and computing in engineering and science through numerical methods. The intention of the course is to provide students with state of the art analytical and numerical methods for the analysis of complex engineering problems. The objectives of the course are such that students acquire knowledge to analytically and numerically simulate various mechanical phenomena as observed in various fields of engineering and science as a whole. This will be achieved by developing a thorough understanding of the physics behind, providing numerical solutions to the boundary value problems and utilizing basic numerical methods. Computational techniques using the classical methods such as the Finite Difference Method will also be discussed in details and applied to the solution of basic engineering problems. Course Description 1. Introduction to Numerical Methods 2. Error Analysis 3. Taylor Series Expansion and Finite Difference Method 4. Solution of Linear System of Equations Using Direct Methods 5. Solution of Linear System of Equations Using Iterative Methods 6. Solution of Nonlinear System of Equations and Newton-Raphson Method 6. Curve Fitting 7. Interpolation of Equations 8. Numerical Integration Course Outcomes a) A necessary analytical mindset and a certain way of thinking for modeling and approaching the solution of engineering problems b) Developing a proper knowledge base for numerical methods used in solving boundary value problems in various fields of engineering defined in terms of differential equations c) Learning and making use of computer softwares in solving these problems d) Getting introduced to developing simple yet useful computer codes e) Describing the concepts of the theory of engineering systems in terms of understanding the mechanics behind f) Acquiring knowledge and developing an understanding for load-induced response of structural and mechanical systems Pre-requisite(s) MAT 102 min DD or MAT 102E min DD or MAT 104 min DD or MAT 104E min DD Required Facilities Other Textbook Chapra, S. “Applied Numerical Methods with MATLAB for Engineers and Scientists”, Mc-Graw Hill New York, 2012 Other References 1- Nurhan Karaboğa, “Sayısal Yöntemler ve MATLAB Uygulamaları” Nobel Yayıncılık, 2012. 2- Bober, W., Tsai, C.T., Masory, O., “Numerical and Analytical Methods with MATLAB”, CRC Press, 2009. 3- Selahattin Gültekin, “MATLAB ile Nümerik Analiz”, Papatya Yayıncılık İstanbul, 2012.