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ISTANBUL GELİŞİM UNIVERSITY INFORMATION SYSTEM

NUMERICAL ANALYSIS COURSE IDENTIFICATION AND APPLICATION INFORMATION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT219 NUMERICAL ANALYSIS 4 3 3 5

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week Preparatory Topics(Subjects) Method
1 - Introduction, Errors in Numerical Operations -
2 - Matrix, Solutions of Linear Equation Systems, Introduction -
3 - Direct Methods I: LU, Separation Method, Dolittle Method, Crout Method -
4 - Direct Methods II: Cholesky Method -
5 - Indirect Methods: Jacobi Method, Gauss Seidel Method, Error Analysis in Linear Equation System Solutions -
6 - Nonlinear Equations I: Finding the Root Interval, Bisection Method -
7 - Nonlinear Equations II: Fixed point iteration method, Newton Raphson Method -
8 - MID-TERM EXAM -
9 - Approximation Method I: Interpolation, Interpolation Polynomials -
10 - Approximation Method II: Lagrange Interpolation, Newton Interpolation, Divided Differences Interpolation -
11 - Numerical Derivativaton I: Forward Difference - Backword Difference - Central Difference Methods -
12 - Numerical Derivativaton II: First and second order derivatives -
13 - Numerical Integration I: Pivot Point, Interpolation Line and Integration Formulas -
14 - Numerical Integration II: Interpolation Parabola, Simpson's Method, Numerical Integral Error Analysis -
15 - An overview -
16 - FINAL EXAM -
17 - FINAL EXAM -