Kodu |
Dersin Adı |
Yarıyıl |
Süresi(T+U) |
Kredisi |
AKTS Kredisi |
MTH219 |
NUMERICAL ANALYSIS |
5 |
3 |
3 |
5 |
DERS BİLGİLERİ |
Dersin Öğretim Dili : |
İngilizce |
Dersin Düzeyi |
BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle |
Dersin Türü |
Zorunlu |
Dersin Veriliş Şekli |
- |
Dersin Koordinatörü |
Assist.Prof. PERİ GÜNEŞ |
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi |
|
Ders Ön Koşulu |
Yok |
AMAÇ VE İÇERİK |
Amaç: |
To teach the students an introduction to the language, logic, and math of numerical
methods as used in engineering and the sciences, an opportunity to learn how
numerical analyses can be applied to a wide range of problems of importance in the
sciences, industry, and society. |
İçerik: |
Description of Numerical Analysis and application of them particularly in
engineering. Error analyses in numerical methods, analitical solutions, numerical
methods for the solution of systems (lineer and non linear), approximation methods,
interpolation, linear regression, numerical integration. |
DERSİN ÖĞRENME ÇIKTILARI (Öğrenciler, bu dersi başarı ile tamamladıklarında aşağıda belirtilen bilgi, beceri ve/veya yetkinlikleri gösterirler.) |
The students who take the course will be able to;
I. The fundamental knowledge of numerical analysis.
II. The ability to use the knowledge about numerical methods in analyzing a
problem.
III. The ability to choose the right solution method for a particular event |
HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI |
Hafta |
Ön Hazırlık |
Konular |
Yöntem |
1 |
Literature Research |
Introduction, Error in Numerical Analysis |
Expression |
2 |
Literature Research |
Systems of Linear Equations, Matrix Algebra |
Expression |
3 |
Literature Research |
Solution of Linear Equations Systems, Direct Methods, Cramer Method, Gauss Elimination |
Expression |
4 |
Literature Research |
Gauss Jordan, LU Method |
Expression |
5 |
Literature Research |
Doolittle Methods Cholesky Method |
Expression |
6 |
Literature Research |
Jacobi Iterative Method |
Expression |
7 |
Literature Research |
Gauss Siedel Iterative Method, Error Analysis of Linear Equations Systems |
Expression |
8 |
- |
MID-TERM EXAM |
- |
9 |
Literature Research |
Non Linear Equation Systems, Root Finding |
Expression |
10 |
Literature Research |
Bisection and Newton Raphson Iteration Methods |
Expression |
11 |
Literature Research |
Fixed Point Iteration |
Expression |
12 |
Literature Research |
Approximation Methods, Interpolation, Interpolation Polynomials |
Expression |
13 |
Literature Research |
Lagrange Interpolation, Newton Interpolation |
Expression |
14 |
Literature Research |
Numerical Integration, Pivot Point, Interpolation, Short Presentations |
Expression |
15 |
Literature Research |
Gaussian Quadrature and Gauss Legendre Integration Formulations, Extrapolation, Short Presentations |
Expression |
16 |
- |
FINAL EXAM |
- |
17 |
- |
FINAL EXAM |
- |
KAYNAKLAR |
An Introduction to Numerical Methods and Analyses, James F. Epperson, John
Wiley and Sons, 2001, ISBN:0471316474. |
Sayısal Çözümleme, R. Tapramaz, Literatür yayıncılık, 2002, ISBN:0130126411 |
Nümerik Analiz, İ. uzun, Beta yayınları, 2004, 4. ISBN:9754869529 |
Mühendisler için sayısal yöntemler, Chaapra, S., C., Canale, R., P., Literatür
Kitabevi, 2003, ISBN:0130126411. |
ÖLÇME VE DEĞERLENDİRME |
Yarıyıl İçi Yapılan Çalışmaların Ölçme ve Değerlendirmesi |
Etkinlik Sayısı |
Katkı Yüzdesi |
Açıklama |
Mid-Term Exam |
1 |
30 |
|
Homework Assessment |
1 |
10 |
|
Short Exam |
1 |
10 |
|
Final Exam |
1 |
50 |
|
TOTAL |
4 |
100 |
|
(0) Etkisiz |
(1) En Düşük |
(2) Düşük |
(3) Orta |
(4) İyi |
(5) Çok İyi |
0 |
1 |
2 |
3 |
4 |
5 |
DERSİN PROGRAM ÖĞRENME ÇIKTILARINA KATKISI
KNOWLEDGE |
Theoretical |
|
Program Yeterlilikleri/Çıktıları |
Katkı Düzeyi |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Explains the fundamental engineering concepts of electrical and electronics science and relates them to the groundwork of electrical and electronics science.
|
|
|
|
3 |
|
|
KNOWLEDGE |
Factual |
|
Program Yeterlilikleri/Çıktıları |
Katkı Düzeyi |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Uses theoretical and practical knowledge coming from electrical and electronics sciences, to find solutions to engineering problems.
|
|
|
|
|
4 |
|
SKILLS |
Cognitive |
|
Program Yeterlilikleri/Çıktıları |
Katkı Düzeyi |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Determines the components and the underlying process of a system and designs an appropriate model related to electrical and electronics under reasonable constraints.
|
|
|
|
3 |
|
|
2 |
Designs a model related to electrical and electronics with modern techniques.
|
|
|
|
|
4 |
|
SKILLS |
Practical |
|
Program Yeterlilikleri/Çıktıları |
Katkı Düzeyi |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Determines, detects and analyzes the areas of electrical and electronics engineering science applications and develops appropriate solutions.
|
|
|
|
3 |
|
|
2 |
Identifies, models and solveselectrical and electronics engineering problems by applying appropriate analytical methods.
|
|
|
|
3 |
|
|
3 |
Determines and uses the necessary electrical and electronics engineering technologies in an efficient way for engineering applications.
|
|
|
|
|
4 |
|
OCCUPATIONAL |
Autonomy & Responsibility |
|
Program Yeterlilikleri/Çıktıları |
Katkı Düzeyi |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.
|
|
|
|
3 |
|
|
2 |
Possess the ability to conduct effective individual study.
|
|
|
|
3 |
|
|
3 |
Takes responsibility as a team work and contributes in an effective way.
|
|
|
|
|
4 |
|
OCCUPATIONAL |
Learning to Learn |
|
Program Yeterlilikleri/Çıktıları |
Katkı Düzeyi |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Monitors the developments in the field of electrical and electronics engineering technologies by means of books, internet and related journals and possess the required knowledge for the management, control, development and security of information technologies.
|
|
|
|
|
4 |
|
2 |
Develops positive attitude towards lifelong learning.
|
|
|
|
3 |
|
|
OCCUPATIONAL |
Communication & Social |
|
Program Yeterlilikleri/Çıktıları |
Katkı Düzeyi |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Communicates effectively by oral and/or written form and uses at least one foreign language.
|
|
|
2 |
|
|
|
2 |
Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.
|
|
|
|
3 |
|
|
OCCUPATIONAL |
Occupational and/or Vocational |
|
Program Yeterlilikleri/Çıktıları |
Katkı Düzeyi |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Possess professional and ethical responsibility and willingness to share it.
|
|
|
|
3 |
|
|
2 |
Possess sufficient consciousness about the universality of electrical and electronics engineering solutions and applications and be well aware of the importance of innovation.
|
|
|
|
|
4 |
|
DERSİN İŞ YÜKÜ VE AKTS KREDİSİ |
Öğrenme-Öğretme Etkinlikleri İş Yükü |
Öğrenme-Öğretme Etkinlikleri |
Etkinlik(hafta sayısı) |
Süresi(saat sayısı) |
Toplam İş Yükü |
Lecture & In-Class Activities |
14 |
3 |
42 |
Preliminary & Further Study |
14 |
2 |
28 |
Land Surveying |
0 |
0 |
0 |
Group Work |
0 |
0 |
0 |
Laboratory |
0 |
0 |
0 |
Reading |
0 |
0 |
0 |
Assignment (Homework) |
0 |
0 |
0 |
Project Work |
0 |
0 |
0 |
Seminar |
0 |
0 |
0 |
Internship |
0 |
0 |
0 |
Technical Visit |
0 |
0 |
0 |
Web Based Learning |
0 |
0 |
0 |
Implementation/Application/Practice |
0 |
0 |
0 |
Practice at a workplace |
0 |
0 |
0 |
Occupational Activity |
0 |
0 |
0 |
Social Activity |
0 |
0 |
0 |
Thesis Work |
0 |
0 |
0 |
Field Study |
0 |
0 |
0 |
Report Writing |
0 |
0 |
0 |
Final Exam |
1 |
2 |
2 |
Preparation for the Final Exam |
1 |
30 |
30 |
Mid-Term Exam |
1 |
2 |
2 |
Preparation for the Mid-Term Exam |
1 |
20 |
20 |
Short Exam |
0 |
0 |
0 |
Preparation for the Short Exam |
0 |
0 |
0 |
TOTAL |
32 |
0 |
124 |
|
Genel Toplam |
124 |
|
|
Toplam İş Yükü / 25.5 |
4,9 |
|
|
Dersin AKTS(ECTS) Kredisi |
5,0 |
|