ME254 Numerical Analysis

5 ECTS - 3-0 Duration (T+A)- 4. Semester- 3 National Credit

Information

Code ME254
Name Numerical Analysis
Term 2022-2023 Academic Year
Semester 4. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 5 ECTS
National Credit 3 National Credit
Teaching Language İngilizce
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. ARİF ÖZBEK
Course Instructor Prof. Dr. ARİF ÖZBEK (A Group) (Ins. in Charge)


Course Goal / Objective

Basic programming and writing program with a programming language.

Course Content

Introduction to Fortran programming. Editing, compiling and running a program in Fortran. Constants, variables, expressions, statements. Selective structures. Repetitive structures and arrays. Functions. Pointers. Multi-dimensional arrays. Subprograms in Fortran. Example programs.

Course Precondition

none

Resources

Lecture notes

Notes

Steven Chapra, Raymond Canale, Numerical methods for engineers, 5th edition


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Linear algebraic equations, aplication of Gauss Siedel method
LO02 defining of Optimization
LO03 explain Curve fitting method
LO04 Makes the numerical derivative
LO05 Ordinary differential equations
LO06 Can find the roots of equations using different methods.
LO07 solving numbers of equations


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Student become equipped with the basic knowledge of math, science and engineering 4
PLO02 Bilgi - Kuramsal, Olgusal Students gain a command of basic concepts, theories and principles in mechanical engineering 2
PLO03 Bilgi - Kuramsal, Olgusal Students are able to design and carry out experiments in the basic fields of mechanical engineering, and interpret the results and the data obtained from the experiments
PLO04 Bilgi - Kuramsal, Olgusal Students become equipped with a variety of skills and knowledge regarding engineering techniques 1
PLO05 Bilgi - Kuramsal, Olgusal Students are able to design a system, component or process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, and sustainability limits. 3
PLO06 Bilgi - Kuramsal, Olgusal Students independently review and learn the applications in an enterprise, make a critical assessment of the problems faced with, formulate problems and propose solutions by selecting the proper technique 3
PLO07 Bilgi - Kuramsal, Olgusal Students take initiative in identification, design, development and use of a product or production process. 2
PLO08 Beceriler - Bilişsel, Uygulamalı Students become aware of the necessity of lifelong learning and continuously self-renew 4
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Students use English effectively for technical or non-technical topics orally or in wirtten form. 4
PLO10 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Students become effective in using computer, computer-aided drafting, design, analysis, and presentation
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Students have good communicatino skills with a tendency to work in teams, and are able to work effectively as a member of an interdisciplinary team 1
PLO12 Yetkinlikler - Öğrenme Yetkinliği Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative 2


Week Plan

Week Topic Preparation Methods
1 Introduction, Round of errors Textbook Chapter 3 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
2 determination of Roots of equations Textbook Chapter 5 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
3 calculation of Roots of equations Textbook Chapter 9 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
4 Systems of linear algebraic equations Textbook Chapter 9 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
5 Linear algebraic equations, LU decomposition method Textbook Chapter 10 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
6 Linear algebraic equations, Gauss siedel yöntemi Textbook Chapter 11 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
7 Optimization Textbook Chapter 13 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
8 Mid-Term Exam Mid-Term Exam Ölçme Yöntemleri:
Yazılı Sınav
9 linear Curve fitting Textbook Chapter 17 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
10 exponential Curve fitting Textbook Chapter 17 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
11 Numerical differentiation Textbook Chapter 21 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
12 Numerical integration Textbook Chapter 21 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
13 Ordinary differential equations Textbook Chapter 25 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
14 explanation of Partial differential equations Textbook Chapter 29 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
15 solution of Partial differential equations Textbook Chapter 29 Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
16 Term Exams Term Exams Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Term Exams Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 3 42
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 12 12
Final Exam 1 18 18
Total Workload (Hour) 114
Total Workload / 25 (h) 4,56
ECTS 5 ECTS

Update Time: 16.11.2022 06:23