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Information
| Code | OM0089 |
| Name | Analytical Methods in Engineering |
| Term | 2024-2025 Academic Year |
| Semester | . Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator |
Course Goal / Objective
To equip students with knowledge of basic applied engineering mathematics and to gain the ability to solve various mathematical problems.
Course Content
Ordinary differential equations. Sweri solution of ordinary differential equations. Fourier series and Fourier integral. Partial differential equations. Gamma, Bessel and Laquerre functions
Course Precondition
There are no prerequisites for the course.
Resources
Advanced Engineering Mathematics, Michael D. Greenberg, Prentice Hall, Second Edition
Notes
Lecture notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Makes analytical solution of linear and partial differential equations. |
| LO02 | Gives information about Fourier series and special functions. |
| LO03 | Calculates the numerical derivative and integral of functions. |
| LO04 | Finds numerical solutions of differential equations. |
| LO05 | Vektör analizi, aritmetik dizi ve boyut analizi örneklerini çözmek için matematiksel yöntemleri kullanır. |
| LO06 | Demonstrates the wide use of calculus in different building disciplines by solving differential and integral problems. |
| LO07 | Explores applications of statistical techniques to interpret, organize and present data using appropriate software packages. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Understands the interdisciplinary interaction that is related to Automotive Engineering. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Understands the necessary ethical values while producing an academic product. | |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Makes a literature search and defines the scientific problem. | 5 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Interprets and creates new information by integrating the knowledge gained in the field of Automotive Engineering with the information from different disciplines. | 3 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Provides solutions to the problems of the age by understanding the effects on health, environment and safety in the universal and social dimensions of engineering applications. | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Carries out a work that requires expertise in the field of Automotive Engineering independently. | 5 |
| PLO07 | Yetkinlikler - Öğrenme Yetkinliği | Understands and applies academic research methods in the field of engineering. | 3 |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Access information in the field of Automotive Engineering at the level of expertise, based on undergraduate level qualifications. | |
| PLO09 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Leads in environments that require the resolution of problems related to the Automotive Engineering field. | |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Conveys systematically the current developments in the field of Automotive Engineering and its own studies to groups in and outside the field, in written, verbal and visual forms, by supporting them with quantitative and qualitative data. | |
| PLO11 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Develops new strategic approaches for the solution of complex and unpredictable problems encountered in applications related to the Automotive Engineering field and produces solutions by taking responsibility. | 4 |
| PLO12 | Yetkinlikler - Alana Özgü Yetkinlik | Uses the theoretical and applied knowledge at the level of expertise gained in the field of Automotive Engineering. | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | First-order differential equations and their analytical solutions | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 2 | Second-order differential equations and their solutions | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 3 | Serial solution of second order inhomogeneous differential equations | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 4 | Laplace transformation | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 5 | Solution of first-order system of linear equations | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 6 | Nonlinear differential equations and stability | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 7 | Partial differential equations and Fourier series | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Lecture notes and reference book | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Partial differential equations and Weibull distribution series | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 10 | Partial differential equations and Reighley distribution series | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 11 | Definition of boundary value problems | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 12 | Boundary value problems | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 13 | Solution of boundary value problems | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 14 | Numerical Derivative and Integral Calculation | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 15 | Curve Fitting Methods | Lecture notes and reference book | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Lecture notes and reference book | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Lecture notes and reference book | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 20 | 20 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 10 | 10 |
| Final Exam | 1 | 40 | 40 |
| Total Workload (Hour) | 154 | ||
| Total Workload / 25 (h) | 6,16 | ||
| ECTS | 6 ECTS | ||