OMZ201 Applied Mathematics For Auto. Eng.

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

Information

Code OMZ201
Name Applied Mathematics For Auto. Eng.
Semester 3. 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 equip students with knowledge about basic mathematical concepts used in engineering and to show analytical solution methods of problems they will encounter in practice.

Course Content

Series.Power Series. Taylor and MacLaurin Series. Complex Numbers. Vektor Functions. Gradient., Divergence, Laplacian Operators. Directional Derivative. Line Integrals. Area Integrals. Differential Equations: Definition and Types. First-Order Equations. Linear Equations. First-Order Partial Differential Equations. Second-Order Equations with Constant Coefficients. Laplace Transformations.

Course Precondition

The course has no prerequisites.

Resources

Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill

Notes

Lecture Notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Understands Sequences, Series and Complex Numbers.
LO02 Understand the concept of vector and the relationship between vector, line and plane in 3-dimensional space, limit, continuity, derivative and integral operations in vector-valued functions
LO03 Learns partial derivative and chain rule in multivariable functions.
LO04 Understands the importance of differential equations in terms of engineering.
LO05 Defines differential equations and uses solution methods.
LO06 Solves first-order differential equations.
LO07 Solves second and higher order differential equations.
LO08 Solves differential equations with boundary conditions.
LO09 Solves differential equations with the help of Laplace transform.


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.
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. 1
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.
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.
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.


Week Plan

Week Topic Preparation Methods
1 Sequences. Series. Convergence-Divergence Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
2 Power Series. Taylor and MAclaurin Series Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
3 Complex Numbers Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
4 Partial Differentiation. Chain Rule Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
5 Vector Calculus. Gradient and Directional Derivative Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
6 Multiple Integrals: Double Integrals Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
7 Integrals with polar coordinates. Applications Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
8 Mid-Term Exam Writing Exam Ölçme Yöntemleri:
Yazılı Sınav
9 Divergence, Curl and Laplacian. Line Integrals Lecture notes Öğretim Yöntemleri:
Anlatım, Tartışma
10 Differential Equations, First-order Differential Equations Lecture notes Öğretim Yöntemleri:
Anlatım
11 Linear First-order Partial Differential Equations Lecture notes Öğretim Yöntemleri:
Anlatım
12 Nonhomogeneous Differantial Equations Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
13 Laplace transformation Lecture notes Öğretim Yöntemleri:
Anlatım
14 Second-order Linear Partial Diffrantial Equations Lecture notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
15 Applications of Differential Equations Lecture notes Öğretim Yöntemleri:
Anlatım
16 Term Exams Writing Exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Writing Exam 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