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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 |
| 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
TTo provide students with sufficient mathematical knowledge to solve engineering problems and to develop students' analytical thinking and problem-solving skills.
Course Content
Parametric Equations, Applications of Parametric Equations, Polar Coordinates, Applications of Polar Coordinates, 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 Their Applications
Course Precondition
There is no prerequisite for the 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 | List the concept of integral. |
| LO02 | Explains the rules of integration. |
| LO03 | Calculates the integral of functions. |
| LO04 | Explains the applications of integrals |
| LO05 | Explains the concept of series. |
| LO06 | Lists whether a series converges or not. |
| LO07 | Lists the basic definitions and theorems of mathematics. |
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 | Parametric Equations | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım |
| 2 | Parametric Equation Applications | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Polar Coordinates | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 4 | Polar Coordinate Applications | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Generalized Integrals | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 6 | Vectors | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Matrices | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Written examination | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Matrisler | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 10 | Solving Systems of Linear Equations | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Systems of Homogeneous Linear Equations | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 12 | Eigenvalues and Eigenvalue Vectors | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Lines and Planes in Space | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım |
| 14 | Transformation of Coordinate Axes | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Multiple Integrals and Their Uses | The relevant topic should be read from lecture notes and reference sources. | Öğretim Yöntemleri: Anlatım, Tartışma |
| 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 | ||