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Information
| Code | OMZ201 |
| Name | Applied Mathematics For Auto. Eng. |
| Term | 2024-2025 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ KESKİN |
| Course Instructor |
Doç. Dr. DİLEK KAHYALAR
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To equip students with knowledge about basic mathematical concepts used in engineering and to show analytical solution methods of problems they will encounter in practice.
Course Content
Series.Power Series. Taylor and MacLaurin Series. Complex Numbers. Vektor Functions. Gradient., Divergence, Laplacian Operators. Directional Derivative. Line Integrals. Area Integrals. Differential Equations: Definition and Types. First-Order Equations. Linear Equations. First-Order Partial Differential Equations. Second-Order Equations with Constant Coefficients. Laplace Transformations.
Course Precondition
The course has no prerequisites.
Resources
Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill
Notes
Lecture Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understands Sequences, Series and Complex Numbers. |
| LO02 | Understand the concept of vector and the relationship between vector, line and plane in 3-dimensional space, limit, continuity, derivative and integral operations in vector-valued functions |
| LO03 | Learns partial derivative and chain rule in multivariable functions. |
| LO04 | Understands the importance of differential equations in terms of engineering. |
| LO05 | Defines differential equations and uses solution methods. |
| LO06 | Solves first-order differential equations. |
| LO07 | Solves second and higher order differential equations. |
| LO08 | Solves 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 | Adequate knowledge of mathematics, science and subjects specific to the Automotive engineering discipline; Ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. | 3 |
| 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. | 4 |
| 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; Ability to apply modern design methods for this purpose. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Automotive Engineering applications; Ability to use information technologies effectively. | 3 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research topics in the field of Automotive Engineering. | 2 |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to work effectively within disciplines (Automotive Engineering) and in multidisciplinary teams; individual work ability. | 2 |
| 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 and understand written reports in the field of Automotive Engineering, prepare design and production reports, make effective presentations, give and receive clear and understandable instructions. | 3 |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Awareness of the necessity of lifelong learning; Ability to access information in the field of Automotive Engineering, follow developments in science and technology and the ability to constantly renew itself. | 2 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Knowledge of acting in accordance with ethical principles, professional and ethical responsibility in the field of Automotive Engineering, and standards used in engineering practices. | |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Knowledge of business practices such as project management, risk management and change management in the field of Automotive Engineering; awareness about entrepreneurship and innovation; Information about sustainable development. | 3 |
| PLO11 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Information about the effects of Automotive Engineering applications on health, environment and safety at universal and social dimensions and the problems of the age reflected in the field of automotive engineering; Awareness of the legal consequences of Automotive Engineering solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Sequences. Series. Convergence-Divergence | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | Power Series. Taylor and MAclaurin Series | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Complex Numbers | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Partial Differentiation. Chain Rule | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Vector Calculus. Gradient and Directional Derivative | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Multiple Integrals: Double Integrals | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Integrals with polar coordinates. Applications | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Writing Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Divergence, Curl and Laplacian. Line Integrals | Lecture notes | Öğretim Yöntemleri: Anlatım, Tartışma |
| 10 | Differential Equations, First-order Differential Equations | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 11 | Linear First-order Partial Differential Equations | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 12 | Nonhomogeneous Differantial Equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Laplace transformation | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 14 | Second-order Linear Partial Diffrantial Equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Applications of Differential Equations | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Writing Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Writing Exam | 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 | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||