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Information
| Code | OMZ103 |
| Name | Engineering Mathematics I |
| Term | 2023-2024 Academic Year |
| Semester | 1. 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 |
| Label | C Compulsory |
| 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
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 | To be able to acquire sufficient knowledge on subjects specific to mathematics, science, and Automotive Engineering. | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | To be able to use the theoretical and applied knowledge in the fields of Automotive Engineering in solving complex engineering problems. | 3 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Ability to identify, formulate and solve complex engineering problems in Automotive Engineering and technology; ability to select and apply appropriate analysis and modeling methods for this purpose. | 5 |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions in Automotive Engineering; ability to apply modern design methods for this purpose. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Designing, conducting experiments, collecting data, analyzing and interpreting results for the study of complex engineering problems or discipline-specific research topics in Automotive Engineering. | 3 |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to work effectively both individually and as a team in disciplinary (Automotive Engineering) and multi-disciplinary teams. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | To be able to follow the project processes by producing and projecting innovative ideas in the field of Automotive Engineering. | |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | To be able to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Automotive Engineering applications. | 2 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Awareness of the necessity of lifelong learning; To be able to access information in the field of Automotive Engineering, to follow the developments in science and technology, and to constantly renew oneself. | |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | To be able to use information and communication technologies together with at least one computer software in the field of Automotive Engineering. | |
| PLO11 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Ability to communicate effectively orally and in writing; knowledge of at least one foreign language; To be able to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions in the field of Automotive Engineering. | |
| PLO12 | Yetkinlikler - Alana Özgü Yetkinlik | To be able to act in accordance with ethical principles, to be able to learn about professional and ethical responsibility in the field of Automotive Engineering and the standards used in engineering applications. | |
| PLO13 | Yetkinlikler - Alana Özgü Yetkinlik | To learn about the effects of Automotive Engineering applications on health, environment, and safety in universal and social dimensions and the problems of the age reflected in the field of Automotive Engineering; Gaining awareness of the legal consequences of Automotive Engineering solutions. | |
| PLO14 | Yetkinlikler - Alana Özgü Yetkinlik | Gaining knowledge about applications in business life such as project management, risk management, and change management in the field of Automotive Engineering; awareness of entrepreneurship, and innovation; To be able to learn about sustainable development. | 3 |
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 | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 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 | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Writing exam. | 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 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||