Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
180104005102NUMERICAL ANALYSISCompulsory354
Level of Course Unit
First Cycle
Objectives of the Course
to teach numerical methods used in engineering problems
Name of Lecturer(s)
Dr. Melih YILDIZ
Learning Outcomes
1being able to use numerical method for solving complex engineering problems
2Makul sayısal yöntemi belirleyebilme ve matematiksel bir model oluşturarak problemleri çözebilme
3having the ability to use engineering tools used for solving problems
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
no prerequisties
Recommended Optional Programme Components
Course Contents
Modeling, Error Analysis, deterinaton of the root of the equation, Linear Algebraic Equations, Optimization, Curve Fitting, Numerical Differentiation and Integration, Ordinary Differential Equations, Partial Differential Equations
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Mathematical modeling, numerical solving, error definations
2The Taylor Series, Numerical differeces, numerical errors
3The Taylor Series, Numerical difference, numerical errors
4Root of Equations; Bracketing Methods
5Roots of Equations: Open Methods
6Roots of Polynomials: Müller's Methods
7Solving Linear Algebraic Equations: Gauss-elimination, graphic methods, Cramel and Gauss-Jordan methods
8Midterm-exam
9Solving Linear Algebraic Equations: Gauss-Siedel, Curve Fitting
10Interpolattion, linear, quadric, Newton and Lagrange interpolation
11Numerical differention and integration:Newton-Cotes formulas (The Trapezoidal Rule Simpson's Rule-1/3&1/8)
12Solving Ordinary differential equations: Euler equations, Heun method, Runge Kunta Equations,
13Solving Ordinary differential equations: Euler equations, Heun method, Runge Kunta Equations,
14Solving Ordinary Equations, Runge Kutta Methods
15Final-exam
Recommended or Required Reading
Chapra S.C Canale P.R. Mühendisler için Sayısal Yöntemler, (Editor: Heperkan H, Kesgin U), 4. Baskı 2008, Çevik Matbaacılık, İstanbul Karaboğa N. Sayısal yöntemler ve Matlab Uygulamaları, 2. Baskı, 2015 Nobel, Ankara.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Turkish
Work Placement(s)
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Attending Lectures14342
Self Study14114
Individual Study for Mid term Examination11515
Individual Study for Final Examination11515
Homework101.515
TOTAL WORKLOAD (hours)105
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
LO155111211111
LO255111211111
LO355111211111
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476 226 13 14 • e-mail: info@igdir.edu.tr