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Information
| Unit | FACULTY OF ENGINEERING |
| AUTOMOTIVE ENGINEERING PR. | |
| Code | OMY201 |
| Name | Applied Engineering Mathematics |
| Term | 2025-2026 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Label | BS Basic Science Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MUSTAFA ÖZCANLI |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
To equip students with knowledge of the basic mathematical concepts used in engineering and to demonstrate analytical solution methods for differential equations that they will encounter in automotive engineering practice.
Course Content
Series. Power Series. Taylor and MacLaurin Series. Complex Numbers. Vector Functions. Gradient, Divergence, Laplacian Operators. Directional Derivatives. Linear Integrals. Area Integrals. Definition and Types of Differential Equations. First Order Equations. Linear Equations. First Order Partial Differential Equations. Second Order Constant Coefficient Equations. Laplace Transform.
Course Precondition
There are no prerequisites for the course.
Resources
Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill
Notes
Course presentations and notes of the instructor responsible for the course
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understands sequences, series and complex numbers. |
| LO02 | Defines the concept of vector and the relationship between vectors, lines and planes in 3-dimensional space, and the operations of limit, continuity, derivative and integration in vector-valued functions. |
| LO03 | Explains partial derivative and the chain rule in functions of several variables. |
| LO04 | Understand the importance of differential equations from an engineering perspective. |
| LO05 | Define differential equations and list the solution methods. |
| LO06 | Solves the first order differential equations. |
| LO07 | Solves the second and higher order differential equations. |
| LO08 | Solves the differential equations with boundary conditions. |
| LO09 | Solves differential equations with the help of Laplace transform. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Sufficient knowledge of mathematics, science and subjects specific to the automotive engineering discipline; the ability to use theoretical and applied knowledge in these areas to solve complex engineering problems. | |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Ability to identify, formulate and solve complex engineering problems in the field of Automotive Engineering; ability to select and apply appropriate analysis and modeling methods for this purpose. | 5 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | In Automotive Engineering, the ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Ability to select and use modern techniques and tools required for the analysis and solution of complex problems encountered in Automotive Engineering applications; ability to use information technologies effectively. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics in the field of Automotive Engineering. | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to work effectively in intra-disciplinary (Automotive Engineering) and multi-disciplinary teams; ability to work individually. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; ability to write effective reports in the field of Automotive Engineering and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Awareness of the necessity of lifelong learning; ability to access information in the field of Automotive Engineering, to follow developments in science and technology and to constantly renew oneself. | |
| PLO09 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Acting in accordance with ethical principles, professional and ethical responsibility in the field of Automotive Engineering, and knowledge of the standards used in engineering practice. | |
| PLO10 | Yetkinlikler - Alana Özgü Yetkinlik | Knowledge about business life practices such as project management, risk management and change management in the field of Automotive Engineering; awareness about entrepreneurship and innovation; knowledge about sustainable development. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | Knowledge about the universal and societal effects of automotive engineering applications on health, environment and safety and the contemporary problems reflected in the automotive engineering field; awareness of the legal consequences of automotive engineering solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Sequences. Series. Convergence-Divergence | Reviewing course notes | Öğretim Yöntemleri: Anlatım |
| 2 | Power Series. Taylor and MAclaurin Series | Conducting research on the subject | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Complex numbers | Gathering preliminary information about the subject | Öğretim Yöntemleri: Anlatım |
| 4 | Partial derivatives, Chain rule | Examining lecture notes | Öğretim Yöntemleri: Anlatım, Tartışma |
| 5 | Vector analysis, Directional derivative and gradient | Examining the questions in the lecture notes | Öğretim Yöntemleri: Anlatım |
| 6 | Multiple integrals : Double integrals | Examining the lecture notes of the relevant section | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Integrals with polar coordinates, Applications | Gathering preliminary information about the subject from lecture notes | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Related lecture notes and books | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Divergence, Quasi and Laplacian, Line integrals | Review of the relevant book | Öğretim Yöntemleri: Anlatım, Tartışma |
| 10 | Differential equations, First order Differential Equations | Conducting research on the subject | Öğretim Yöntemleri: Anlatım |
| 11 | First Order Linear Partial Differential Equations | Gathering preliminary information about the subject from literature | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Nonhomogeneous Differential Equations | Examining the questions in the lecture notes | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 13 | Laplace transformation | Examining the lecture notes of the relevant section | Öğretim Yöntemleri: Anlatım |
| 14 | Second Order Linear Partial Differential Equations | Gathering preliminary information about the subject from lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Examples of Differential Equations Applications | Examining the questions in the book | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Related lecture notes and books | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Related lecture notes and books | 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 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 25 | 25 |
| Total Workload (Hour) | 138 | ||
| Total Workload / 25 (h) | 5,52 | ||
| ECTS | 6 ECTS | ||