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Information
| Code | OMY110 |
| Name | Engineering Mathematics II |
| Term | 2024-2025 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 |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MUSTAFA ÖZCANLI |
| Course Instructor |
1 |
Course Goal / Objective
To provide students with sufficient mathematical knowledge to solve engineering problems and to develop students' ability to think analytically and produce solutions to problems.
Course Content
Parametric Equations, Parametric Equation Applications, Polar Coordinates, Polar Coordinate Applications, 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 Uses
Course Precondition
There is no prerequisite for the course
Resources
Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill
Notes
Lecture notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows the concept of integral. |
| LO02 | Learns the rules of integration |
| LO03 | Calculates the integral of functions. |
| LO04 | Learns integral applications |
| LO05 | Learns the concept of series |
| LO06 | Knows whether a series is convergent or not. |
| LO07 | Knows the basic definitions and theorems of mathematics |
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. | 5 |
| 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. | 4 |
| 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. | |
| 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. | 2 |
| 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. | |
| 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 | Parametric Equations | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | Parametric Equation Applications | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Polar Coordinates | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Polar Coordinate Applications | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Generalized Integrals | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Vectors | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Matrices | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Written examination | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Matrisler | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Solving Systems of Linear Equations | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Systems of Homogeneous Linear Equations | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Eigenvalues and Eigenvalue Vectors | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Lines and Planes in Space | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Transformation of Coordinate Axes | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Multiple Integrals and Their Uses | Lecture notes and books | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Written examination | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Written examination | 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 | 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 | ||