# GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
NUMERICAL ANALYSIS/IM343E
 Course Title: NUMERICAL ANALYSIS Credits 3 ECTS 3 Semester 5 Compulsory/Elective Compulsory
COURSE INFO
-- LANGUAGE OF INSTRUCTION
English
-- NAME OF LECTURER(S)
Asst. Prof. Dr. Önder Koçyiğit
-- WEB SITE(S) OF LECTURER(S)
www.websitem.gazi.edu.tr/site/konder
-- EMAIL(S) OF LECTURER(S)
konder@gazi.edu.tr
-- LEARNING OUTCOMES OF THE COURSE UNIT
An ability to use numerical methods
Modelling of engineering problems and development of solution strategies using numerical methods accordance with this model
Finding solution using numerical methods for differential equations that do not have any analytical solution
Computer programming application on engineering problems

-- MODE OF DELIVERY
The mode of delivery of this course is face to face.
-- PREREQUISITES AND CO-REQUISITES
There is no prerequisite or co-requisite for this course.
-- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
This course discusses fundamental issues related to applied mathematics and engineering applications.
 --COURSE CONTENT 1. Week Introduction, Mathematical Modelling,Programming, Error Analysis 2. Week Roots of Equations 1: Bracketing Methods;Graphical Methods, The Bisection Method, The False Position Method 3. Week Roots of Equations 2: Open Methods; Simple Fixed-Point Iteration, The Newton Raphson Method, The Secant Method Systems of Nonlinear Equations 4. Week Linear Algebraic Equations 1: Gauss Elimination, Gauss- Seidel, Gauss-Jordan Methods 5. Week Linear Algebraic Equations 2: L-U Decomposition and Matrix Inverse 6. Week Curve Fitting 1: Least-Squares Regression; Linear Regression, Polynomial Regression, Multiple Linear Regression, Nonlinear Regression 7. Week Curve Fitting 2: Interpolation; Newton's Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomial 8. Week Mid-Term 1. Examination 9. Week Numerical Integration 1: Newton Cotes Integration Formulas: The Trapezoidal Rule, Simpson's Rule 10. Week Numerical Integration 2: Multiple Integrals,Improper Integrals Numerical Differentiation:High-Accuracy Differentiation Formulas,Partial Derivatives 11. Week Ordinary Differential Equations 1: Euler's Method, Improvements of Euler's Method, Runge-Kutta Methods 12. Week Ordinary Differential Equations 2: Systems of Equations, Boundary-Value and Eigenvalue Problems 13. Week Partial Differential Equations 1: Finite Difference and Elliptic Equations 14. Week Partial Differential Equations 2: Finite Difference and Parabolic Equations 15. Week Mid-Term 2 Examination 16. Week FINAL EXAMINATION