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Description of Individual Course UnitsCourse Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 180104005102 | NUMERICAL ANALYSIS | Compulsory | 3 | 5 | 4 |
| 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 | 1 | being able to use numerical method for solving complex engineering problems | 2 | Makul sayısal yöntemi belirleyebilme ve matematiksel bir model oluşturarak problemleri çözebilme | 3 | having 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 | |
1 | Mathematical modeling, numerical solving, error definations | | | 2 | The Taylor Series, Numerical differeces, numerical errors | | | 3 | The Taylor Series, Numerical difference, numerical errors | | | 4 | Root of Equations; Bracketing Methods | | | 5 | Roots of Equations: Open Methods | | | 6 | Roots of Polynomials: Müller's Methods | | | 7 | Solving Linear Algebraic Equations: Gauss-elimination, graphic methods, Cramel and Gauss-Jordan methods | | | 8 | Midterm-exam | | | 9 | Solving Linear Algebraic Equations: Gauss-Siedel, Curve Fitting | | | 10 | Interpolattion, linear, quadric, Newton and Lagrange interpolation | | | 11 | Numerical differention and integration:Newton-Cotes formulas (The Trapezoidal Rule Simpson's Rule-1/3&1/8) | | | 12 | Solving Ordinary differential equations: Euler equations, Heun method, Runge Kunta Equations, | | | 13 | Solving Ordinary differential equations: Euler equations, Heun method, Runge Kunta Equations, | | | 14 | Solving Ordinary Equations, Runge Kutta Methods | | | 15 | Final-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 | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | |
| Workload Calculation | |
Midterm Examination | 1 | 2 | 2 | Final Examination | 1 | 2 | 2 | Attending Lectures | 14 | 3 | 42 | Self Study | 14 | 1 | 14 | Individual Study for Mid term Examination | 1 | 15 | 15 | Individual Study for Final Examination | 1 | 15 | 15 | Homework | 10 | 1.5 | 15 | |
Contribution of Learning Outcomes to Programme Outcomes | LO1 | 5 | 5 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | LO2 | 5 | 5 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | LO3 | 5 | 5 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 1 |
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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