Lesson plan / NUMERICAL METHODS

Lesson Information

Course Credit 4.0
Course ECTS Credit 5.0
Teaching Language of Instruction Türkçe
Level of Course Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course Compulsory
Mode of Delivery Face-to-face
Does the course require compulsory or optional work experience? Z
Course Coordinator
Instructor (s)
Course Assistant

Purpose and Content

The aim of the course The objective of this courses is that to introduce some numerical techniques to solve the engineering problems. To model engineering problems through numerical methods. To present some optimization technique such as constraing and unconstraint optimization.
Course Content Properties of numerical methods and basic steps in numerical solutions. Errors and error sources. Finite differences method. Solution of linear algebraic equations and matrices. Curve fitting and Method of least squares. Interpolation and extrapolation. Numerical integration and differentiation. Boundary-value problems. Numerical solutions of ordinary and partial differential equations.

Weekly Course Subjects

1Properties of numerical methods and basic steps in numerical solutions errors and error sources.
2Linear Algebraic Equations
3Linear Algebraic Equations (Cont'd)
4Curve-Fitting: Least squares regression, Interpolation and Extrapolation
5Curve-Fitting: Least squares regression, Interpolation and Extrapolation
6Optimization: One dimensional unconstrained optimization, multidimensional unconstrained optimization and constrained optimization
7Numerical Differentiation and Integration
8Numerical Differentiation and Integration (Cont'd)
9Mid- Term
10Ordinary Differential Equations (ODEs): Runge-Kutta Methods, Stiffness and Multistep methods, Boundry value and Eigenvalue Problems.
11Ordinary Differential Equations (ODEs): Runge-Kutta Methods, Stiffness and Multistep methods, Boundry value and Eigenvalue Problems (Cont'd)
12Ordinary Differential Equations (ODEs): Runge-Kutta Methods, Stiffness and Multistep methods, Boundry value and Eigenvalue Problems (Cont'd)
13Partial Differential Equations: Elliptic, parabolic and hyperbolic partial differential equations (PDEs).
14Partial Differential Equations: Elliptic, parabolic and hyperbolic partial differential equations (PDEs) (Cont'd)

Resources

1- Numerical Methods for Engineers and Scientists, 2nd Edition, Joe D. Hoffman, Steven Frankel, Taylor & Francis, 2001.
2- Mühendisler İçin Sayısal Yöntemler (Yazılım ve Programlama Uygulamalarıyla), Raymond Canale, Steven Chapra, Literatür Yayıncılık, 4. Basımdan çeviri, 2004.