TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| AUTOMOTIVE ENGINEERING PR. (ENGLISH) | |
| Code | AEN251 |
| Name | Applied Mathematics For Auto. Eng. |
| 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 | İngilizce |
| Level | Üniversite Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. KADİR AYDIN |
| Course Instructor |
Prof. Dr. HAMİDE KAVAK
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Informing engineering students of fundemental mathematical concepts found in engineering problems and showing them the basic analytical solution methods
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
Yok
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Vector functions |
| LO02 | Series Expansion of Functions |
| LO03 | Line Integrals |
| LO04 | Double Integrals (Area Integrals) |
| LO05 | Differential Equations: Analytical Solutions |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Utilizes computer systems and softwares | 5 |
| PLO02 | - | Is equipped with a variety of skills and techniques in engineering. | 3 |
| PLO03 | - | Generates solutions for the problems in other disciplines by using statistical techniques | 1 |
| PLO04 | - | Designs a system, component or process so as to meet various engineering needs within technical, economic, environmental, manufacturability, sustainability limitations. | 4 |
| PLO05 | - | Comprehends visual, database and web programming techniques and has the ability of writing objective program | 2 |
| PLO06 | - | Examines and learns applications in an enterprise independently, makes critical assesments of problems, formulates problems and selects suitable techniques for solutions. | 5 |
| PLO07 | - | Leads the identification, development and usage of a product or production method. | 2 |
| PLO08 | - | Is aware of the need for lifelong learning and self-renew | 3 |
| PLO09 | - | Has effective oral and written English for technical or non-technical use | 5 |
| PLO10 | - | Uses computers very effectively, makes computer-aided drafting, designs, analysis, and presentations. | 1 |
| PLO11 | - | Improves constantly itself , as well as professional development scientific, social, cultural and artistic fields according to his/her interests and abilities identifying needs of learning. | 3 |
| PLO12 | - | Is aware of the technical and ethical responsibilities, has inquisitive and innovative quality | 2 |
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 | Midterm 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 | Final Exam | Writing Exam | |
| 17 | Final Exam | 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 |