EEE228 Numerical Methods

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

Information

Code EEE228
Name Numerical Methods
Term 2022-2023 Academic Year
Semester 4. Semester
Duration (T+A) 3-2 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 4 National Credit
Teaching Language İngilizce
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. MUSTAFA GÖK
Course Instructor Prof. Dr. MUSTAFA GÖK (A Group) (Ins. in Charge)


Course Goal / Objective

Introduce numerical methods and modern programming tools to solve complex analytical problems using computer systems.Develop problem solving skills using computer programming. Introduce algorithm developing methods.

Course Content

Engineering applications of numerical methods, approximation and precision,discussion of numeric errors, Surveys and applications of numerical techniques related to matrix inversion, systems of linear equations and optimization, finite difference expressions, interpolation and approximation, numerical differentiation and integration. The problem of speed, accuracy and applicability of the topics are examined with related algorithms.

Course Precondition

No prerequisite.

Resources

Numerical Methods for Engineers, S. Chapra and R. Canale

Notes

Internet resources and simulation tools.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Selects the proper numerical method for an analytical problem.
LO02 Performs statistical analyzes using regression and interpolation methods.
LO03 Writes small programs to apply numerical methods.
LO04 Does computational performance analysis of the various numerical solutions of the same problem.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. 5
PLO02 Bilgi - Kuramsal, Olgusal Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. 3
PLO03 Bilgi - Kuramsal, Olgusal Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. 2
PLO04 Bilgi - Kuramsal, Olgusal Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ computer programming techniques, and information technologies effectively. 5
PLO05 Bilgi - Kuramsal, Olgusal Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. 5
PLO06 Bilgi - Kuramsal, Olgusal Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PLO07 Bilgi - Kuramsal, Olgusal Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, 4
PLO08 Bilgi - Kuramsal, Olgusal Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. 4
PLO09 Bilgi - Kuramsal, Olgusal Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice. 3
PLO10 Bilgi - Kuramsal, Olgusal Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. 3
PLO11 Bilgi - Kuramsal, Olgusal Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.
PLO12 Bilgi - Kuramsal, Olgusal Ability to apply the knowledge of electrical-electronics engineering to profession-specific tools and devices.
PLO13 Bilgi - Kuramsal, Olgusal Having consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in.


Week Plan

Week Topic Preparation Methods
1 Analytical solution numerical solution comparision Review of the simple differential equation problems Öğretim Yöntemleri:
Anlatım, Tartışma
2 Error Definitions, Precision and Accuracy Read lecture notes Öğretim Yöntemleri:
Anlatım, Tartışma
3 Roots of Equations Bracketing Methods Read lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
4 Roots of Equations Open Methods Read lecture notes Öğretim Yöntemleri:
Anlatım, Tartışma
5 Optimization Read lecture notes Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
6 Linear Algebraic Equations and Matrices Read lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Soru-Cevap, Tartışma
7 Midterm Review lecture notes Ölçme Yöntemleri:
Yazılı Sınav
8 Mid-Term Exam Read lecture notes Ölçme Yöntemleri:
Yazılı Sınav
9 LU Factoring Read lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
10 Matrix Inverse and Condition Read lecture notes Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
11 Gaus Seidel Method Read lecture notes Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
12 Eigenvectors Read lecture notes Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama
13 Lineer Regression Read lecture notes Öğretim Yöntemleri:
Anlatım, Tartışma, Alıştırma ve Uygulama
14 Polynomial Interpolation Read lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
15 Fourier Series Read lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
16 Term Exams Review lecture notes. Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Review lecture notes. Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 5 70
Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 5 5
Final Exam 1 15 15
Total Workload (Hour) 160
Total Workload / 25 (h) 6,40
ECTS 6 ECTS

Update Time: 17.11.2022 10:10