TÜRKÇE
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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 |
| Label | C Compulsory |
| 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 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 | Applies sufficient knowledge of mathematics, science, and discipline-specific topics in automotive engineering, utilizing theoretical and practical knowledge in solving complex engineering problems. | 4 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Identifies, defines, and solves complex engineering problems in automotive engineering applications using scientific methods. | |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Designs a complex system, process, device, or product in automotive engineering under realistic constraints and conditions to meet specific requirements and effectively applies modern design methods in this process. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Uses information technologies to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in automotive engineering applications. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Designs and conducts experiments, collects data, analyzes, and interprets the results to examine complex engineering problems or discipline-specific research topics in the field of automotive engineering. | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Effectively takes responsibility individually and as a team member in intradisciplinary (automotive engineering) and multidisciplinary teams. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Gains knowledge of the legislation related to automotive engineering and awareness of professional ethical responsibility. | |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Being aware of the necessity of lifelong learning and constantly improving and renewing itself in the field of automotive engineering. | |
| PLO09 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Gains the ability to communicate verbally and in writing in Turkish/English regarding the field of automotive engineering, write reports, prepare design and production reports, make effective presentations and use communication technologies. | |
| PLO10 | Yetkinlikler - Alana Özgü Yetkinlik | Using project design and management knowledge, he/she attempts to develop and realize new ideas regarding automotive engineering applications. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | Have awareness of the effects of Automotive Engineering applications on health, environment and safety at universal and social dimensions, and the legal consequences of the problems and solutions of the age reflected in the field of automotive engineering. |
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 |
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 | ||