ENM252 Numerical Analysis

3 ECTS - 2-0 Duration (T+A)- 4. Semester- 2 National Credit

Information

Code ENM252
Name Numerical Analysis
Term 2024-2025 Academic Year
Semester 4. Semester
Duration (T+A) 2-0 (T-A) (17 Week)
ECTS 3 ECTS
National Credit 2 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Doç. Dr. ZEYNEP ÖZKURT
Course Instructor
1 2
Doç. Dr. ZEYNEP ÖZKURT (A Group) (Ins. in Charge)


Course Goal / Objective

The aim of this course is to introduce various numerical analysis methods to the students and to solve the mathematical problems in different areas with numerical analysis methods.

Course Content

In this course is tauched solving nonlinear equations, solving linear equations, interpolation, numerical integrations

Course Precondition

none

Resources

Richard L. Burden, J. Douglas Faires (2000). Numerical Analysis, Brooks Cole; 7th edition.

Notes

Behiç Çağal (1989), Sayısal Analiz, Seç Yayın Dağıtım, İstanbul.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Numerical solutions can comment on the error source.
LO02 It calculate root / roots of a function.
LO03 solve linear system of equations.
LO04 find the inverse of the matrix
LO05 calculate the matrix determinant
LO06 calculate approximate valuation of polynomials
LO07 calculate numerical integration
LO08 examine the errors in the calculations
LO09 solve nonlinear equations


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Have sufficient knowledge of mathematics, science and related engineering disciplines; can use the theoretical and applied knowledge in these fields in complex engineering problems.
PLO02 Bilgi - Kuramsal, Olgusal Acquire the ability to identify, define, formulate and solve complex Industrial Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. 3
PLO03 Bilgi - Kuramsal, Olgusal Design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; can apply modern design methods for this purpose.
PLO04 Bilgi - Kuramsal, Olgusal Develops modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications, and has the ability to use information technologies effectively.
PLO05 Bilgi - Kuramsal, Olgusal Have the ability to design experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. 3
PLO06 Bilgi - Kuramsal, Olgusal Have the ability to work effectively in disciplinary and multi-disciplinary teams or individually.
PLO07 Beceriler - Bilişsel, Uygulamalı Ability to communicate effectively in Turkish orally and in writing; knowledge of at least one foreign language; have the ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
PLO08 Beceriler - Bilişsel, Uygulamalı Have the awareness of the necessity of lifelong learning; can follow the developments in science and technology and have the ability to constantly renew themselves.
PLO09 Yetkinlikler - Öğrenme Yetkinliği Acts in accordance with ethical principles, has knowledge about the standards used in engineering applications with the awareness of professional and ethical responsibility. 3
PLO10 Yetkinlikler - Öğrenme Yetkinliği Gain knowledge of business practices such as project management, risk management and change management; become aware of entrepreneurship and innovation.
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Gains knowledge about the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering and has awareness of the legal consequences of engineering solutions.
PLO12 Yetkinlikler - Öğrenme Yetkinliği They can benefit from the power of effective communication in their professional life and have the ability to interpret developments correctly. 4
PLO13 Yetkinlikler - Öğrenme Yetkinliği Have the ability to design, develop, implement and improve integrated systems involving machine, time, information and money.
PLO14 Yetkinlikler - Öğrenme Yetkinliği Have the ability to design, develop, implement and improve complex products, processes, businesses, systems by applying modern design methods, under realistic conditions and constraints such as cost, environment, sustainability, manufacturability, ethical, health, safety and political issues. 4


Week Plan

Week Topic Preparation Methods
1 Meaning and importance of numerical analysis, Number systems and general information about error Required readings and solving problems Öğretim Yöntemleri:
Anlatım
2 in Non-Linear Equations Bisection and Newton's Methods, Required readings and solving problems Öğretim Yöntemleri:
Anlatım
3 Beams and Bairstow Methods in the Solution of Nonlinear Equations, Required readings and solving problems Öğretim Yöntemleri:
Anlatım
4 Linear equation systems, matrix inversion and information about determinants, Required readings and solving problems Öğretim Yöntemleri:
Anlatım
5 Gaussian Elimination and Gauss-Jordan Methods in the Solution of Linear Equations, Required readings and solving problems Öğretim Yöntemleri:
Anlatım
6 Gauss Destruction and Gauss-Jordan Methods in the Inversion of Matrix Reversal and Determinant, Required readings and solving problems Öğretim Yöntemleri:
Anlatım
7 Gauss-Seidel Method for Solution of Linear Equations, Required readings and solving problems Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Ölçme Yöntemleri:
Yazılı Sınav
9 İnterpolation, Linear interpolation, Lagrange interpolation Required readings and solving problems Öğretim Yöntemleri:
Anlatım
10 Divided Differences Interpolation, Required readings and solving problems Öğretim Yöntemleri:
Anlatım
11 Differences Interpolation, Required readings and solving problems Öğretim Yöntemleri:
Anlatım
12 Back Differences Interpolation, Required readings and solving problems Öğretim Yöntemleri:
Anlatım
13 Numerical Integral Calculation Methods, Required readings and solving problems Öğretim Yöntemleri:
Anlatım
14 Application of Numerical Integration Calculation Methods to Interval, Required readings and solving problems Öğretim Yöntemleri:
Anlatım
15 Exercises Required readings and solving problems Öğretim Yöntemleri:
Alıştırma ve Uygulama
16 Term Exams Required readings and solving problems Öğretim Yöntemleri:
Anlatım
17 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 2 28
Out of Class Study (Preliminary Work, Practice) 14 2 28
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 6 6
Final Exam 1 16 16
Total Workload (Hour) 78
Total Workload / 25 (h) 3,12
ECTS 3 ECTS

Update Time: 26.06.2024 10:16