Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
ADVANCED NUMERİCAL METHODS MEK 605 0 3 + 0 3 6
 Dersin Dili Türkçe Dersin Seviyesi Doktora Dersin Türü SECMELI 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 - A - C - 2 - Forming of Difference Tables 1 - 4 - 15 - A - C - 3 - Performing of uniform and non-uniform interpolation calculations 1 - 4 - 15 - A - C - 4 - Carrying out Numerical Differentiation 1 - 4 - 15 - A - C - 5 - Carrying out Numerical Integration 1 - 4 - 15 - A - C - 6 - Comprehension of Numerical Methods Used in Solution of Differential Eqn. 1 - 4 - 15 - A - C - 7 - Understanding of Numerical Methods Initial Value Type Ordinary Differential Equations 1 - 4 - 15 - A - C - 8 - Understanding of Numerical Solution methods for Linear Equation Systems 1 - 4 - 15 - A - C - 9 - Understanding of Numerical Solution methods for Partial Diff. Equations 1 - 4 - 15 - A - C - 10 - Understanding of Numerical Solutions Methods of I. and II. order Quasi-Linear Differential Equations 1 - 4 - 15 - A - C - 11 - Understanding of Numerical Solution methods for Hyperbolic Equations 1 - 4 - 15 - A - C - 12 - Understanding of Numerical Solution methods for Parabolic Equations 1 - 4 - 15 - A - C -
 Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice 15:Problem Solving Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Scientific method and Mathematical Modeling, Root Finding
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 Ders Notları 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

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Ability to access wide and deep information with scientific researches in the field of Engineering, evaluate, interpret and implement the knowledge gained in his/her field of study
2 Develop new strategic approach and produce solutions by taking responsibility in unexpected and complicated situations in mechatronic engineering
3 Aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, and announcement
4 Develop and use data processing and communication technologies together with the machine, electronic and computer software-hardware knowledge required by the field of mechatronic engineering expertise
5 Ability to complete and implement &quot;limited or incomplete data&quot; by using the scientific methods.
6 Ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to them
7 Ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process
8 Ability to design and apply analytical, modeling and experimental based research, analyze and interpret the faced complex issues during the design and apply process
9 Gain high level ability to define the required information and data
10 Aware of new and developing application of profession and ability to analyze and study on those applications
11 Ability to interpret engineering applications social and environmental dimensions and it´s compliance with the social environment
12 At least be capable of oral and written communication in a foreign language
13 Ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations
14 Systematic and clear verbal or written transfer of the process and results of studies at national and international environments
15 Gain comprehensive information on modern techniques, methods and their borders which are being applied to engineering

#### 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
; ;