Ders Bilgileri
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Ders Tanımı
Ders | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
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NUMERICAL METHODS IN ENGINEERING | CMM 602 | 0 | 3 + 0 | 3 | 6 |
Ön Koşul Dersleri | |
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Önerilen Seçmeli Dersler |
Dersin Dili | Türkçe |
Dersin Seviyesi | Doktora |
Dersin Türü | ZORUNLU |
Dersin Koordinatörü |
Doç.Dr. ERGÜN NART |
Dersi Verenler | |
Dersin Yardımcıları | |
Dersin Kategorisi | Alanına Uygun Temel Öğretim |
Dersin Amacı |
Mathematical formulation of engineering problems is algebraic or differential forms of physical problems using certain assumptions. Analysis of these equations provides mathematical understanding of the physical phenomenon. In most of the cases, these analyses are performed numerically. Thus, this lecture aims at teaching all necessary numerical methods to engineering students.
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Dersin İçeriği |
The lecture aims at basic numerical subjects such as error analysis, finding zeros, interpolation, solving of linear systems, numerical differentiation and integration. In addition, advanced methods about differential equation are given.
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Dersin Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
1 - Finding of Zeros using numerical methods | 1 - 4 - 15 - | C - |
2 - Forming of Difference Tables | 1 - 4 - 15 - | C - |
3 - Performing of uniform and non-uniform interpolation calculations | 1 - 4 - 15 - | C - |
4 - Carrying out Numerical Differentiation | 1 - 4 - 15 - | C - |
5 - Carrying out Numerical Integration | 1 - 4 - 15 - | C - |
6 - Comprehension of Numerical Methods Used in Solution of Differential Eqn. | 1 - 4 - 15 - | C - |
7 - Understanding of Numerical Methods Initial Value Type Ordinary Differential Equations | 1 - 4 - 15 - | C - |
8 - Understanding of Numerical Solution methods for Linear Equation Systems | 1 - 4 - 15 - | C - |
9 - Understanding of Numerical Solution methods for Partial Diff. Equations | 1 - 4 - 15 - | C - |
10 - Understanding of Numerical Solutions Methods of I. and II. order Quasi-Linear Differential Equations | 1 - 4 - 15 - | C - |
11 - Understanding of Numerical Solution methods for Hyperbolic Equations | 1 - 4 - 15 - | C - |
12 - Understanding of Numerical Solution methods for Parabolic Equations | 1 - 4 - 15 - | C - |
Öğretim Yöntemleri: | 1:Lecture 4:Drilland Practice 15:Problem Solving |
Ölçme Yöntemleri: | C:Homework |
Ders Akışı
Hafta | Konular | ÖnHazırlık |
---|---|---|
1 | Understanding of Numerical Solution methods for Parabolic Equations | |
2 | Difference Tables | |
3 | Uniform Interval Interpolation | |
4 | Non-Uniform Interval Interpolation | |
5 | Numerical Differentiation | |
6 | Numerical Integration | |
7 | Boundary Value Ordinary Differential Equations | |
8 | Initial Value Ordinary Differential Equations | |
9 | Linear Equations Systems | |
10 | Midterm Exam | |
11 | Introduction to Partial Differential Equations | |
12 | Classification of I. and II. order Quasi-Linear Differential Equations | |
13 | Hyperbolic Equations | |
14 | Parabolic Equations |
Kaynaklar |
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Ders Notu | Advanced Numerical Methods, Walker, J.D.A., Lehigh University, Lecture Notes, 1996 | |
Ders Kaynakları |
Linear Numerical Analysis, Noel Gastinel, Academic Press, Inc. New York, 1970 Numerical Recipes in C , Press W.H., Teukolsky, S.A., Cambridge University Press, 1995 |
Döküman Paylaşımı |
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Dersin Program Çıktılarına Katkısı
No | Program Öğrenme Çıktıları | KatkıDüzeyi | |||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 |
Değerlendirme Sistemi
YARIYIL İÇİ ÇALIŞMALARI | SIRA | KATKI YÜZDESİ |
---|---|---|
AraSinav | 1 | 50 |
KisaSinav | 1 | 15 |
KisaSinav | 2 | 15 |
Odev | 1 | 20 |
Toplam | 100 | |
Yıliçinin Başarıya Oranı | 40 | |
Finalin Başarıya Oranı | 60 | |
Toplam | 100 |
AKTS - İş Yükü
Etkinlik | Sayısı | Süresi(Saat) | Toplam İş yükü(Saat) |
---|---|---|---|
Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
Mid-terms | 1 | 4 | 4 |
Quiz | 2 | 3 | 6 |
Assignment | 8 | 5 | 40 |
Project / Design | 0 | 0 | 0 |
Final examination | 1 | 10 | 10 |
Toplam İş Yükü | 156 | ||
Toplam İş Yükü /25(s) | 6.24 | ||
Dersin AKTS Kredisi | 6.24 |