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Information
| Unit | FACULTY OF ENGINEERING |
| AUTOMOTIVE ENGINEERING PR. | |
| Code | OMZ201 |
| Name | Applied Engineering Mathematics |
| Term | 2018-2019 Academic Year |
| 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ KESKİN |
| Course Instructor |
Prof. Dr. HAMİDE KAVAK
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
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 Content
Informing engineering students of fundemental mathematical concepts found in engineering problems and showing them the basic analytical solution methods
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understands sequences, series and complex numbers. |
| LO02 | Defines the concept of vector and the relationship between vectors, lines and planes in 3-dimensional space, and the operations of limit, continuity, derivative and integration in vector-valued functions. |
| LO03 | Explains partial derivatives and the chain rule in functions of several variables. |
| LO04 | Understand the importance of differential equations from an engineering perspective. |
| LO05 | Define differential equations and list the solution methods. |
| LO06 | List the first order differential equations. |
| LO07 | List the second and higher order differential equations. |
| LO08 | List the differential equations with boundary conditions. |
| LO09 | List differential equations with the help of Laplace transform. |
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. | 3 |
| 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 | Sequences. Series. Convergence-Divergence | Lecture notes | |
| 2 | Power Series. Taylor and MAclaurin Series | Lecture notes | |
| 3 | Complex Numbers | Lecture notes | |
| 4 | Partial Differentiation. Chain Rule | Lecture notes | |
| 5 | Vector Calculus. Gradient and Directional Derivative | Lecture notes | |
| 6 | Multiple Integrals: Double Integrals | Lecture notes | |
| 7 | Area Integrals using Polar Coordinates | Lecture notes | |
| 8 | Mid-Term Exam | Writing Exam | |
| 9 | Divergence, Curl and Laplacian. Line Integrals | Lecture notes | |
| 10 | Differential Equations (DE), First-order DE | Lecture notes | |
| 11 | Linear First-order Partial DE | Lecture notes | |
| 12 | Nonhomogeneous DE | Lecture notes | |
| 13 | Laplace transformation | Lecture notes | |
| 14 | Second-order Linear Partial DE | Lecture notes | |
| 15 | DE Applications | Lecture notes | |
| 16 | Term Exams | Writing Exam | |
| 17 | Term Exams | Writing Exam |
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 | ||