| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Numerical Analysis | MUH211 | Compulsory | Bachelor's degree | 2 | Fall | 5 |
Name of Lecturer(s)
Prof. Dr. Müslüm ARICI
Prof. Dr. Arzu ERENER
Prof. Dr. Mehmet Melih İNAL
Prof. Dr. Sinasi ONUR
Prof. Dr. Bülent ORUÇ
Prof. Dr. Ergün ÖZTÜRK
Associate Prof. Dr. Erman ASLAN
Associate Prof. Dr. Ayhan DEMİRİZ
Associate Prof. Dr. Orhan KURT
Associate Prof. Dr. Adnan SONDAŞ
Associate Prof. Dr. Ergin ULUTAŞ
Assistant Prof. Dr. Ramiz Gültekin AKAY
Assistant Prof. Dr. Özer AKYÜREK
Assistant Prof. Dr. Celal ÖZKALE
Assistant Prof. Dr. Mustafa SEÇİLMİŞ
Research Assistant Özgür KAPLAN
Learning Outcomes of the Course Unit
1) Solve algebric and transandantal solution of linear equation systems
2) Analyze the results
3) Analyze the error sources
4) Solve physical problems whose analytical solution is not available by numerical methods
5) Use Taylor's theorem and calculate errors of approximation a function by Taylor series
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | ||
| Learning Outcomes | ||||||||||||||||||||
| 1 | High | High | No relation | No relation | High | High | High | High | No relation | High | High | No relation | No relation | No relation | No relation | No relation | High | No relation | High | |
| 2 | High | High | No relation | No relation | High | High | High | High | No relation | High | High | No relation | No relation | No relation | No relation | No relation | High | No relation | High | |
| 3 | High | High | No relation | No relation | High | High | High | High | No relation | High | High | No relation | No relation | No relation | No relation | No relation | High | No relation | High | |
| 4 | High | High | No relation | No relation | High | High | High | High | No relation | High | High | No relation | No relation | No relation | No relation | No relation | High | No relation | High | |
| 5 | Middle | Middle | No relation | No relation | Middle | Middle | No relation | No relation | No relation | Middle | No relation | No relation | No relation | No relation | No relation | No relation | Middle | No relation | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
Introduction to numerical methods and error definition. Finding roots of nonlinear equation. Solving a set of simultaneous linear equations by Gauss elimination and Gauss-Seidel methods. Regression anaylsis, The least squares method. Interpolation. Numerical differentiation and integration. Numerical methods for ordinary differential equations
Weekly Schedule
1) Numerical computation and errors2) Roots of Equations: Graphical and Bisection methods
3) Roots of Equations: False-Position and Newton-Raphson methods
4) Solution of Simultaneous Linear Equations: Gauss elimination method
5) Solution of Simultaneous Linear Equations: Gauss-Jordan method
6) Solution of Simultaneous Linear Equations: Gauss-Seidel method
7) Midterm Exam
8) Midterm examination/Assessment
9) Interpolation: Lagrange method
10) Numerical differentation
11) Numerical differentation
12) Numerical Integration: Rectangular and trapezoidal methods
13) Numerical Integration: Simpson's Rules
14) Curve fitting: Least-squares regression
15) Curve fitting: Least-squares regression
16) Final examination
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Drill and Practice
3) Lab / Workshop
4) Problem Solving
5) Project Based Learning
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
30% |
|---|---|
Contribution of Final Examination to Course Grade |
70% |
Total |
100% |
Language of Instruction
English
Work Placement(s)
Not Required