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Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
NUMERICAL METHODS IN ENGINEERING CMM 602 0 3 + 0 3 6
Ön Koşul Dersleri
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.
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.
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

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


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
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