TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM239 |
| Name | Differential Equations |
| 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 | Üniversite Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ZEYNEP ÖZKURT |
| Course Instructor |
Prof. Dr. ZEYNEP ÖZKURT
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
This course aims to introduce basic ideas on differential equations and to solve this equations
Course Content
Differential equations and their classification, First order differential equations, Exact differential equations, Linear differential equations, Bernoulli differential equations, Cauchy Euler differential equations, Linear differential equations systems, Laplace transformations
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has sufficient background on topics related to mathematics, physical sciences and industrial engineering. | 0 |
| PLO02 | - | Gains ability to use the acquired theoretical knowledge on basic sciences and industrial engineering for describing, formulating and solving an industrial engineering problem, and to choose appropriate analytical and modeling methods. | 0 |
| PLO03 | - | Gains ability to analyze a service and/or manufacturing system or a process and describes, formulates and solves its problems . | 0 |
| PLO04 | - | Gains ability to choose and apply methods and tools for industrial engineering applications. | 0 |
| PLO05 | - | Can collect and analyze data required for industrial engineering problems ,develops and evaluates alternative solutions. | 0 |
| PLO06 | - | Works efficiently and takes responsibility both individually and as a member of a multi-disciplinary team. | 0 |
| PLO07 | - | Can access information and to search/use databases and other sources for information gathering. | 0 |
| PLO08 | - | Appreciates life time learning; follows scientific and technological developments and renews himself/herself continuously. | 0 |
| PLO09 | - | Can use computer software in industrial engineering along with information and communication technologies. | 0 |
| PLO10 | - | Can use oral and written communication efficiently. | 0 |
| PLO11 | - | Uses English skills to follow developments in industrial engineering and to communicate with people in his/her profession. | 0 |
| PLO12 | - | Has a conscious understanding of professional and ethical responsibilities. | 0 |
| PLO13 | - | Has a necessary consciousness on issues related to job safety and health, legal aspects of environment and engineering practice. | 0 |
| PLO14 | - | Becomes competent on matters related to project management, entrepreneurship, innovation and has knowledge about current matters in industrial engineering. | 0 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Differential equations and solutions | Required readings and solving problems | |
| 2 | Classification Differential equations | Required readings and solving problems | |
| 3 | The existence of initial and boundary value problems and solutions | Required readings and solving problems | |
| 4 | Exact Differential equations and Integral multiplier | Required readings and solving problems | |
| 5 | Separable equations and reducible equations for this form | Required readings and solving problems | |
| 6 | Linear equations and Bernoulli equations | Required readings and solving problems | |
| 7 | solving high order linear differential equations | Required readings and solving problems | |
| 8 | Mid-Term Exam | Required readings and solving problems | |
| 9 | Constant Coefficient Homogen Differential Equations | Required readings and solving problems | |
| 10 | Indeterminate coefficient method | Required readings and solving problems | |
| 11 | Variable Parameter Method | Required readings and solving problems | |
| 12 | Cauchy Euler denklem | Required readings and solving problems | |
| 13 | Linear Differential Denklem System | Required readings and solving problems | |
| 14 | Laplace Transformation | Required readings and solving problems | |
| 15 | Laplace Transformation | Required readings and solving problems | |
| 16 | Term Exams | Required readings and solving problems | |
| 17 | Term Exams | Required readings and solving problems |
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 |