OMZ102 Engineering Mathematics II

4 ECTS - 3-0 Duration (T+A)- 2. Semester- 3 National Credit

Information

Code OMZ102
Name Engineering Mathematics II
Semester 2. 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
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. ALİ KESKİN


Course Goal

To provide students with sufficient mathematical knowledge for solving engineering problems and to develop their ability to think analytically and produce solutions to problems.

Course Content

Parametric Equations, Applications of Parametric Equation, Polar Coordinates, Applications of Polar Coordinates, generalized integrals, Vectors, Matrices, Determinants, Solving Systems of Linear Equation, Homogeneous Linear Equation Systems, Eigenvalues and Eigenvectors, Lines and Planes in Space, Transformation of coordinate axes, Multiple Integrals and 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 Knows the concept of integral.
LO02 Learn the rules of integration
LO03 Calculates integral of functions.
LO04 Learns integral applications
LO05 Learns the concept of series
LO06 Determines whether a series is convergent.
LO07 Knows the basic definitions and theorems of mathematics


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. 5
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. 3
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. 2
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. 3
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. 3
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.


Week Plan

Week Topic Preparation Methods
1 Parametric Equations Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
2 Applications of Parametric Equation Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
3 Polar Coordinates Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
4 Applications of Polar Coordinates Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
5 Generalized integrals Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
6 Vectors Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
7 Matrices Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
8 Mid-Term Exam Written examination Ölçme Yöntemleri:
Yazılı Sınav
9 Determinants Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
10 Solving Systems of Linear Equation Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
11 Homogeneous Linear Equation Systems Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
12 Eigenvalues and Eigenvectors Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
13 Lines and Planes in Space Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
14 Transformation of coordinate axes Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
15 Multiple Integrals and Applications 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