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Information
| Unit | FACULTY OF ENGINEERING |
| AUTOMOTIVE ENGINEERING PR. | |
| Code | OMY103 |
| Name | Engineering Mathematics I |
| Term | 2025-2026 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 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
This course aims to improve students' skills in using concepts effectively by reminding them of their prior knowledge about mathematics.
Course Content
An overview of mathematics, the concept of function, limit, continuity, introduction to derivatives and derivative rules, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives, derivative applications, definite integral, properties of definite integrals, integration techniques, application of definite integrals; calculations of area, volume and center of gravity, arc length, areas of surfaces of revolution, generalized (improper) integrals, integral applications
Course Precondition
There are no prerequisites for this 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 | Students gain analytical thinking skills. |
| LO02 | Students learn the basic foundation of Mathematics. |
| LO03 | Lists the important theorems and their applications in mathematics. |
| LO04 | Learn to use mathematics effectively in solving engineering problems. |
| LO05 | Explains limit and derivative calculations and their applications. |
| LO06 | Creates a mathematical infrastructure for other courses |
| LO07 | It improves the ability to produce mathematical solutions to problems encountered in nature. |
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 | An overview of mathematics | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım |
| 2 | Concept of function | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Limit | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım |
| 4 | Continuity | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Soru-Cevap, Tartışma, Anlatım |
| 5 | Introduction to Derivative and Derivative Rules | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Logarithmic, hyperbolic and inverse trigonometric functions and their derivatives | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım |
| 7 | Derivative Basics | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Lecture Notes | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Derivative Applications | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım |
| 10 | Definite Integral, Properties of Definite Integral | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Integration Techniques | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Problem Çözme, Soru-Cevap |
| 12 | Applications of definite integrals; area, volume and centroid calculations | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım |
| 13 | Arc Length, Areas of Rotational Surfaces, Imroper Integrals | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Integral Basics | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Problem Çözme, Tartışma |
| 15 | Integral Applications | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Lecture Notes | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Lecture Notes | 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 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 20 | 20 |
| Total Workload (Hour) | 119 | ||
| Total Workload / 25 (h) | 4,76 | ||
| ECTS | 5 ECTS | ||