TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM215 |
| Name | Differential Equations |
| Term | 2020-2021 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 2-1 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 2.5 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Uzaktan 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 |
|---|---|
| LO01 | Knows differential equations and their classification |
| LO02 | Recognizes first order differential equations, |
| LO03 | Recognizes exact differential equations, |
| LO04 | Solves Linear Differential Equations |
| LO05 | Solves the Bernoulli differential equation, |
| LO06 | Solves the Cauchy Euler equation, |
| LO07 | Solves systems linear differential equations, |
| LO08 | Knows the Laplace transformations. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Adequate knowledge in mathematics, science and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems. | 3 |
| PLO02 | - | An ability to identify, formulate, and solve complex industrial engineering problems; the ability to select and apply appropriate analysis and modeling methods for this purpose. | 3 |
| PLO03 | - | An ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | 0 |
| PLO04 | - | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | 1 |
| PLO05 | - | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research topics. | 1 |
| PLO06 | - | Ability to work effectively in disciplinary and multidisciplinary teams; self-study skills. | 4 |
| PLO07 | - | Ability to communicate effectively in Turkish presentation and in writing; knowledge of at least one foreign language; Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instruction and receiving skills. | 0 |
| PLO08 | - | Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and constantly renew oneself. | 1 |
| PLO09 | - | To act in accordance with ethical principles, professional and ethical responsibility awareness; information about standards used in engineering applications. | 3 |
| PLO10 | - | Information on business practices such as project management, risk management and change management; awareness about entrepreneurship and innovation; information on sustainable development. | 0 |
| PLO11 | - | Information about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems reflected in the engineering field of the age; awareness of the legal consequences of engineering solutions. | 0 |
| PLO12 | - | Ability to make use of the power of effective communication in professional life, to interpret the developments correctly and to make decisions. | 2 |
| PLO13 | - | Ability to design, develop, implement and improve integrated systems including machinery, time, information and money. | 0 |
| PLO14 | - | Ability to design, develop, implement and improve complex product, process, business, system design by applying modern design methods under realistic conditions and constraints such as cost, environment, sustainability, productivity, ethics, health, safety and political issues. | 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 |
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 | 1 | 2 | 2 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 111 | ||
| Total Workload / 25 (h) | 4,44 | ||
| ECTS | 4 ECTS | ||