| Kodu |
Dersin Adı |
Yarıyıl |
Süresi(T+U) |
Kredisi |
AKTS Kredisi |
| MAT219 |
SAYISAL ANALİZ |
5 |
3 |
3 |
5 |
DERS BİLGİLERİ |
| Dersin Öğretim Dili : |
Türkçe |
| 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 |
Dr.Öğr.Üyesi BAHADIR KOPÇASIZ-Dr.Öğr.Üyesi FERHAT KÜRÜZ |
| Ders Ön Koşulu |
Yok |
AMAÇ VE İÇERİK |
| Amaç: |
To provide students with the language, logic and mathematics of numerical methods used in engineering and science, and to teach them how to use numerical methods to solve problems in a wide range of areas in science, industry and society. |
| İçerik: |
Definition of Numerical Analysis and especially its use in engineering applications. Error analysis in numerical methods, analytical solutions, solutions of linear and nonlinear equation systems, approximation methods, interpolation, linear regression, numerical integration. |
DERSİN ÖĞRENME ÇIKTILARI (Öğrenciler, bu dersi başarı ile tamamladıklarında aşağıda belirtilen bilgi, beceri ve/veya yetkinlikleri gösterirler.) |
| Students taking this course will; I. Understand the fundamentals of numerical analysis. II. Have the ability to use numerical methods in the analysis of a problem in engineering. III. Have the ability to choose the right solution method for a particular topic. |
HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI |
| Hafta |
Ön Hazırlık |
Konular |
Yöntem |
| 1 |
- |
Introduction, Errors in Numerical Operations |
- |
| 2 |
- |
Matrix, Solutions of Linear Equation Systems, Introduction |
- |
| 3 |
- |
Direct Methods I: LU, Separation Method, Dolittle Method, Crout Method |
- |
| 4 |
- |
Direct Methods II: Cholesky Method |
- |
| 5 |
- |
Indirect Methods: Jacobi Method, Gauss Seidel Method, Error Analysis in Linear Equation System Solutions |
- |
| 6 |
- |
Nonlinear Equations I: Finding the Root Interval, Bisection Method |
- |
| 7 |
- |
Nonlinear Equations II: Fixed point iteration method, Newton Raphson Method |
- |
| 8 |
- |
MID-TERM EXAM |
- |
| 9 |
- |
Approximation Method I: Interpolation, Interpolation Polynomials |
- |
| 10 |
- |
Approximation Method II: Lagrange Interpolation, Newton Interpolation, Divided Differences Interpolation |
- |
| 11 |
- |
Numerical Derivativaton I: Forward Difference - Backword Difference - Central Difference Methods |
- |
| 12 |
- |
Numerical Derivativaton II: First and second order derivatives |
- |
| 13 |
- |
Numerical Integration I: Pivot Point, Interpolation Line and Integration Formulas |
- |
| 14 |
- |
Numerical Integration II: Interpolation Parabola, Simpson's Method, Numerical Integral Error Analysis |
- |
| 15 |
- |
An overview |
- |
| 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 |
| (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.
|
|
1 |
|
|
|
|
| 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.
|
|
|
|
|
|
5 |
| 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.
|
0 |
|
|
|
|
|
| 2 |
Designs a model related to electrical and electronics with modern techniques.
|
0 |
|
|
|
|
|
| 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.
|
0 |
|
|
|
|
|
| 2 |
Identifies, models and solveselectrical and electronics engineering problems by applying appropriate analytical methods.
|
0 |
|
|
|
|
|
| 3 |
Determines and uses the necessary electrical and electronics engineering technologies in an efficient way for engineering applications.
|
0 |
|
|
|
|
|
| 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.
|
0 |
|
|
|
|
|
| 2 |
Possess the ability to conduct effective individual study.
|
0 |
|
|
|
|
|
| 3 |
Takes responsibility as a team work and contributes in an effective way.
|
|
|
2 |
|
|
|
| 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.
|
0 |
|
|
|
|
|
| 2 |
Develops positive attitude towards lifelong learning.
|
|
|
2 |
|
|
|
| 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.
|
0 |
|
|
|
|
|
| 2 |
Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.
|
0 |
|
|
|
|
|
| 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.
|
|
1 |
|
|
|
|
| 2 |
Possess sufficient consciousness about the universality of electrical and electronics engineering solutions and applications and be well aware of the importance of innovation.
|
|
|
|
3 |
|
|
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 |
1 |
14 |
| 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 |
14 |
1 |
14 |
| 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 |
1 |
1 |
| 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 |
46 |
0 |
123 |
|
Genel Toplam |
123 |
|
|
Toplam İş Yükü / 25.5 |
4,8 |
|
|
Dersin AKTS(ECTS) Kredisi |
5,0 |
|