Course Information

Course Name	Turkish	Sayısal Analiz I
	English	Numerical Analysis I
Course Code	MAT 505E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	3	-	-
Course Language		English
Course Coordinator		Gülçin Mihriye Muslu
Course Objectives		I. To introduce advanced methods, derivations and mathematical analysis in numerical analysis, II. II. To teach graduate-level theorems and proofs in numerical analysis.
Course Description		Error analysis. Numerical solutions of nonlinear equations in one variable. Numerical solutions for systems of nonlinear equations. One-dimensional and multi-dimensional interpolation theory. Approximating functions. Numerical differentiation. Numerical integration; numerical evaluation of singular integrals, multidimensional numerical integration.
Course Outcomes		Graduate students who successfully pass this course gain knowledge, skills and competency in the following subjects; I. To know graduate-level fundamental concepts, proofs and approaches such as error analysis, stability and convergence of the numerical methods II. To find numerical solutions of nonlinear equations in one variable I. To find numerical solutions for systems of nonlinear equations II. To know interpolation and approximation theory III. To perform numerical differentiation and know how to derive different finite difference formulas and their convergence analysis IV. To evaluate certain integrals numerically
Pre-requisite(s)
Required Facilities		Using MATLAB will be encouraged.
Other
Textbook		1. W. Gautschi, Numerical Analysis, Springer 2012 2. L.R. Scott, Numerical Analysis, Princeton University Press, 2011 3. R.L. Burden and J.D. Faires, Numerical Analysis, Cengage Learning, 2010, 9th Edition 4. D. Kincaid and W. Cheney, Numerical Analysis, Brooks/Cole Publishing Company, 1991 5. P. Linz, Theoretical Numerical Analysis, Dover Publications, 2001
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