ME254 Numerical Analysis

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

Information
Goal, Content & Resources
Course Learning Outcomes
Relation with Program Learning Outcome
Week Plan
Student Workload - ECTS

Information

Code ME254
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 İngilizce
Level Lisans Dersi
Type Normal
Label C Compulsory
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. ARİF ÖZBEK
Course Instructor
1 2
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 Adequate knowledge in mathematics, science, and topics specific to mechanical engineering; the ability to use theoretical and applied knowledge in these fields to solve complex engineering problems. 5
PLO02 Bilgi - Kuramsal, Olgusal The ability to identify, formulate, and solve complex engineering problems in the fields of mechanical engineering and technology; the ability to select and apply appropriate analysis and modeling methods for this purpose. 4
PLO03 Bilgi - Kuramsal, Olgusal The ability to design a complex system, process, device, or product under realistic constraints and conditions to meet specific requirements in mechanical engineering; the ability to apply modern design methods for this purpose. 4
PLO04 Bilgi - Kuramsal, Olgusal The ability to select and use modern techniques and tools necessary for analyzing and solving complex problems encountered in mechanical engineering applications; the ability to effectively use information technologies. 3
PLO05 Bilgi - Kuramsal, Olgusal The ability to design experiments, conduct experiments, collect data, analyze and interpret the results for the investigation of complex engineering problems or research topics specific to mechanical engineering.
PLO06 Bilgi - Kuramsal, Olgusal The ability to work effectively in intra-disciplinary (mechanical engineering) and multidisciplinary teams; the ability to work individually.
PLO07 Bilgi - Kuramsal, Olgusal The ability to communicate effectively both orally and in writing; proficiency in at least one foreign language; the ability to write effective reports in mechanical engineering, understand written reports, prepare design and production reports, deliver effective presentations, and give and receive clear instructions.
PLO08 Beceriler - Bilişsel, Uygulamalı Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and continuously renew oneself in the field of mechanical engineering.
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Behaving in accordance with ethical principles, awareness of professional and ethical responsibilities in the field of mechanical engineering, and knowledge about the standards used in engineering practices.
PLO10 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Knowledge of business practices such as project management, risk management, and change management in the field of mechanical engineering; awareness of entrepreneurship and innovation; knowledge about sustainable development.
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Awareness of the universal and societal dimensions of the impacts of mechanical engineering applications on health, environment, and safety, and knowledge about the contemporary issues in the field of mechanical engineering; awareness of the legal consequences of mechanical engineering solutions.


Week Plan

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


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: 22.10.2024 11:20