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Information
| Code | OMY103 |
| Name | Engineering Mathematics I |
| Term | 2024-2025 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 |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MUSTAFA ÖZCANLI |
| Course Instructor |
Doç. Dr. DİLEK KAHYALAR
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
This course aims to improve the students skills for using concepts effectively by recalling their prior knowledge of mathematics.
Course Content
An overview of mathematics, Concept of Function, Limit, Continuity, Introduction to Derivative and Derivative Rules,Logarithmic, hyperbolic and inverse trigonometric functions and derivatives, Derivative Applications, Definite Integral, Properties of Definite Integral, Integration Techniques, Application of Definite Integrals; area, Volume and center of gravity calculations, Arc length, Areas of rotational surfaces, Generalized (Imroper) integrals, İntegral applications
Course Precondition
Not Exist
Resources
Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill
Notes
Lecture Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students gain the ability to think analytically. |
| LO02 | Students learn the basic background of Mathematics |
| LO03 | Recognize important theorems and applications of mathematics |
| LO04 | Learn to use mathematics effectively in solving engineering problems. |
| LO05 | Understands limit, derivative calculations and their applications |
| LO06 | Creates the mathematics infrastructure for other courses |
| LO07 | Develops the ability to produce mathematical solutions to the problems encountered in nature |
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. | 3 |
| 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. | 5 |
| 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. | |
| 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. | 3 |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to work effectively within disciplines (Automotive Engineering) and in multidisciplinary teams; individual work ability. | |
| 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. | |
| 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. | |
| 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 | An overview of mathematics | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | Concept of function | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Limit | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Continuity | Lecture Notes | Ölçme Yöntemleri: Yazılı Sınav |
| 5 | Introduction to Derivative and Derivative Rules | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Logarithmic, hyperbolic and inverse trigonometric functions and their derivatives | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Derivative Applications 1 | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Lecture Notes | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Derivative Applications 2 | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Definite Integral, Properties of Definite Integral | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Integration Techniques | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Applications of definite integrals; area, volume and centroid calculations | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Arc Length, Areas of Rotational Surfaces, Imroper Integrals | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Integral Applications I | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Integral Applications II | Lecture Notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Lecture Notes | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Lecture Notes | 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 | 15 | 15 |
| Final Exam | 1 | 20 | 20 |
| Total Workload (Hour) | 119 | ||
| Total Workload / 25 (h) | 4,76 | ||
| ECTS | 5 ECTS | ||