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Information
| Unit | FACULTY OF ENGINEERING |
| AUTOMOTIVE ENGINEERING PR. | |
| Code | OMY110 |
| Name | Engineering Mathematics II |
| Term | 2025-2026 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| 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. Previous term groups and teaching staff are shown.
|
Course Goal / Objective
TTo provide students with sufficient mathematical knowledge to solve engineering problems and to develop students' analytical thinking and problem-solving skills.
Course Content
Parametric Equations, Applications of Parametric Equations, Polar Coordinates, Applications of Polar Coordinates, Generalized Integrals, Vectors, Matrices, Determinants, Solution of Linear Equation Systems, Homogeneous Linear Equation Systems, Eigenvalues and Eigenvalue Vectors, Lines and Planes in Space, Transformation of Coordinate Axes, Multiple Integrals and Their Applications
Course Precondition
There is no prerequisite for the course
Resources
Sherman Stein and Anthony Barcellos, Calculus and Analytic Geometry, Mcgraw-Hill, 5th Edition, 1232pp,1992.
Notes
Course presentations and notes of the instructor responsible for the course
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | List the concept of integral. |
| LO02 | Explains the rules of integration. |
| LO03 | Calculates the integral of functions. |
| LO04 | Explains the applications of integrals |
| LO05 | Explains the concept of series. |
| LO06 | Lists whether a series converges or not. |
| LO07 | Lists the basic definitions and theorems of mathematics. |
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. | 4 |
| 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. | |
| 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 | Parametric Equations | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım |
| 2 | Parametric Equation Applications | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Polar Coordinates | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 4 | Polar Coordinate Applications | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Generalized Integrals | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 6 | Vectors | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Matrices | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Written examination | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Matrisler | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 10 | Solving Systems of Linear Equations | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Systems of Homogeneous Linear Equations | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 12 | Eigenvalues and Eigenvalue Vectors | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Lines and Planes in Space | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım |
| 14 | Transformation of Coordinate Axes | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Multiple Integrals and Their Uses | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 16 | Term Exams | Written examination | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Written examination | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
Current term shares have not yet been determined. Shares of the previous term are shown.
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||