| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Advanced Numerical Methods | MEK 605 | 0 | 3 + 0 | 3 | 6 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Doktora |
| Dersin Türü | Seçmeli |
| 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. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Finding of Zeros using numerical methods | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 2 | Forming of Difference Tables | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 3 | Performing of uniform and non-uniform interpolation calculations | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 4 | Carrying out Numerical Differentiation | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 5 | Carrying out Numerical Integration | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 6 | Comprehension of Numerical Methods Used in Solution of Differential Eqn. | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 7 | Understanding of Numerical Methods Initial Value Type Ordinary Differential Equations | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 8 | Understanding of Numerical Solution methods for Linear Equation Systems | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 9 | Understanding of Numerical Solution methods for Partial Diff. Equations | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 10 | Understanding of Numerical Solutions Methods of I. and II. order Quasi-Linear Differential Equations | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 11 | Understanding of Numerical Solution methods for Hyperbolic Equations | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| 12 | Understanding of Numerical Solution methods for Parabolic Equations | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 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 |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 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 "limited or incomplete data" 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 | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 50 |
| 1. Kısa Sınav | 15 |
| 2. Kısa Sınav | 15 |
| 1. Ödev | 20 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 40 |
| 1. Final | 60 |
| Toplam | 100 |
| AKTS - İş Yükü Etkinlik | Sayı | Süre (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 |
| Final examination | 1 | 10 | 10 |
| Toplam İş Yükü | 156 | ||
| Toplam İş Yükü / 25 (Saat) | 6,24 | ||
| Dersin AKTS Kredisi | 6 | ||