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Information
| Unit | FACULTY OF ENGINEERING |
| AUTOMOTIVE ENGINEERING PR. | |
| Code | OMZ102 |
| Name | Engineering Mathematics II |
| Term | 2017-2018 Academic Year |
| 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ KESKİN |
| Course Instructor |
Doç. Dr. DİLEK ERSALAN
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Recalling the effective use of students prior knowledge of mathematics concepts to improve their skills
Course Content
Sequences and series. Sequential convergence, arithmetic and geometric sequences. Convergence and divergence of series. Power series. Taylor and MacLaurin series. Binom series. Fourier series and applications. Complex numbers. Basic algebraic rules for complex numbers. Vector analysis. Curves and surfaces. Line integrals, calculation of work by line integrals. Gradient of scalar fields. Divergence and curl of vector fields. Existence and uniqueness of solutions. First order differential equations. Second-order differential equations with constant coefficients. Laplace transformations. Power series solutions of differential equations. Introduction to partial differential equations
Course Precondition
Resources
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 | Squences and series | Lecture notes | |
| 2 | Sequential convergence, arithmetic and geometric sequences | Lecture notes | |
| 3 | Convergence and divergence of series | Lecture notes | |
| 4 | Power series | Lecture notes | |
| 5 | Taylor and MacLaurin series | Lecture notes | |
| 6 | Binom series | Lecture notes | |
| 7 | Fourier series and applications | Lecture notes | |
| 8 | Midterm examination | Written examination | |
| 9 | Complex numbers | Lecture notes | |
| 10 | Basic algebraic rules for complex numbers | Lecture notes | |
| 11 | Vector analysis. | Lecture notes | |
| 12 | Curves and surfaces | Lecture notes | |
| 13 | Line integrals, calculation of work by line integrals | Lecture notes | |
| 14 | First order differential equations. Second-order differential equations with constant coefficients. | Lecture notes | |
| 15 | Laplace transformations. Power series solutions of differential equations. Introduction to partial differential equations | Lecture notes | |
| 16 | Final examination | Lecture notes | |
| 17 | Final examination | Lecture notes |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||