MMS206 Numerical Analysis

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

Information

Code MMS206
Name Numerical Analysis
Term 2024-2025 Academic Year
Semester 4. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 5 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. MEHMET BİLGİLİ
Course Instructor
1


Course Goal / Objective

The aim of this course is to equip students with the knowledge of numerical methods used in engineering and to gain the ability to solve various practical problems.

Course Content

In this course; errors, equation roots, linear algebraic equation systems, optimization, interpolation, curve fitting, numerical derivative and integral are described.

Course Precondition

Non

Resources

Numerical Methods for Engineers; Fifth Edition. Yazarlar: S.C. Chapra, R.P. Canale. Yayıncı: Mc-Graw Hill.

Notes

Lecture notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Define the basic concepts of analytical and numerical methods for mechanical engineering.
LO02 Use the numerical methods to solve problems in mechanical engineering.
LO03 Make the solution of systems of linear equations using numerical methods.
LO04 Apply the numerical methods to solve interpolation, optimization, derivative and integral problems.
LO05 Define the model by fitting the curve to experimental data.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Beceriler - Bilişsel, Uygulamalı Understanding the fundamentals of Mechanical Engineering
PLO02 Beceriler - Bilişsel, Uygulamalı Being well equipped with knowledge of Mathematics, Science and Basic Engineering 4
PLO03 Yetkinlikler - Öğrenme Yetkinliği Having capability of designing and executing experiments; examining the results and data
PLO04 Yetkinlikler - Öğrenme Yetkinliği Being well equipped with various engineering techniques and skills
PLO05 Yetkinlikler - Öğrenme Yetkinliği Being able to design a system ,a component or a process with taking into consideration the technical, economic, enviromental, sustainability limitations
PLO06 Bilgi - Kuramsal, Olgusal Ability to analyze the applications on a factory without any help, investigate the problems, formulizing and finding a proper solution for the problems 3
PLO07 Yetkinlikler - Öğrenme Yetkinliği Ability to design , developing getting ready for use of a product or manufacturing process
PLO08 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Understanding the importance of life-time learning and being updated 3
PLO09 Beceriler - Bilişsel, Uygulamalı Having advanced speaking and writing English skills
PLO10 Yetkinlikler - Öğrenme Yetkinliği Using Computer effectively; for computed aided design, analysis and illustrating 4
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Being prone to teamwork, well communication with others, adaptability to interdisciplinary teams 3
PLO12 Bilgi - Kuramsal, Olgusal Being aware of the technical and ethical responsibility, being curious and innovative 4


Week Plan

Week Topic Preparation Methods
1 Introduction Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
2 Round of errors Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
3 Roots of equations Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
4 Systems of linear algebraic equations Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
5 Solution of linear algebraic equations Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
6 Lineer algebraic equations, LU decomposition method Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
7 Linear algebraic equations, Gauss siedel method Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
8 Mid-Term Exam Read the related topics in the lecture notes and reference books Ölçme Yöntemleri:
Yazılı Sınav
9 Optimization Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
10 Curve fitting Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
11 Curve fitting applications Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
12 Numerical differentiation Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
13 Numerical integration Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
14 Ordinary differential equations Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
15 Partial differential equations Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Tartışma, Problem Çözme
16 Term Exams Read the related topics in the lecture notes and reference books Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Read the related topics in the lecture notes and reference books 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: 05.06.2024 12:01