TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| ELECTRICAL-ELECTRONIC ENGINEERING PR. (ENGLISH) | |
| Code | EEE209 |
| Name | Differential Equations |
| Term | 2018-2019 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 7 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. MUSTAFA KEREM ÜN |
| Course Instructor |
Prof. Dr. MUSTAFA KEREM ÜN
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the student differential equations and their applications in electrical and general engineering fields.
Course Content
Introduction. First order equations. Second order linear homogeneous equations. Second order linear inhomogeneous equations. Higher order linear equations. Systems of linear equations. Solution with power series. Laplace transform.
Course Precondition
Resources
Notes
İnternet Kaynakları
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Categorizes differential equations. |
| LO02 | Proposes solution methods for the equations he/she has categorized. |
| LO03 | Writes and solves the first order equations of physical systems. |
| LO04 | Solves constant coefficient, nonhomogeneous equations. |
| LO05 | Solve appropriate equations using Laplace transform. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has capability in those fields of mathematics and physics that form the foundations of engineering. | 0 |
| PLO02 | - | Grasps the main knowledge in the basic topics of electrical and electronic engineering. | 0 |
| PLO03 | - | Comprehends the functional integrity of the knowledge gathered in the fields of basic engineering and electrical-electronics engineering. | 5 |
| PLO04 | - | Identifies problems and analyzes the identified problems based on the gathered professional knowledge. | 0 |
| PLO05 | - | Formulates and solves a given theoretical problem using the knowledge of basic engineering. | 2 |
| PLO06 | - | Has aptitude for computer and information technologies | 0 |
| PLO07 | - | Knows English at a level adequate to comprehend the main points of a scientific text, either general or about his profession, written in English. | 2 |
| PLO08 | - | Has the ability to apply the knowledge of electrical-electronic engineering to profession-specific tools and devices. | 0 |
| PLO09 | - | Has the ability to write a computer code towards a specific purpose using a familiar programming language. | 0 |
| PLO10 | - | Has the ability to work either through a purpose oriented program or in union within a group where responsibilities are shared. | 1 |
| PLO11 | - | Has the aptitude to identify proper sources of information, reaches them and uses them efficiently. | 2 |
| PLO12 | - | Becomes able to communicate with other people with a proper style and uses an appropriate language. | 0 |
| PLO13 | - | Internalizes the ethical values prescribed by his profession in particular and by the professional life in general. | 0 |
| PLO14 | - | Has consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to ordinary differential equations (ODE) | None | |
| 2 | First order ODEs, seperation of variables, physical applications. | Review of the material of the previous lecture | |
| 3 | First order ODEs, exact differentials | Review of the material of the previous lecture | |
| 4 | First order ODEs, integrating factors | Review of the material of the previous lecture | |
| 5 | General first order linear ODEs | Review of the material of the previous lecture | |
| 6 | Second order ODEs, solution of constant coefficient, homogeneous equations | Review of the material of the previous lecture | |
| 7 | Methods of undetermined coefficients and variation of parameters | Review of the material of the previous lecture | |
| 8 | Mid-Term Exam | Review of the material covered sofar | |
| 9 | Higher order ODEs | Review of the material of the previous lecture | |
| 10 | Solution of systems of ODEs | Review of the material of the previous lecture | |
| 11 | Solution of systems of ODEs (continued) | Review of the material of the previous lecture | |
| 12 | Solution with power series. | Review of the material of the previous lecture | |
| 13 | Laplace transform | Review of the material of the previous lecture | |
| 14 | Laplace transform | Review of the material of the previous lecture | |
| 15 | Review | Review of the material of the previous lecture | |
| 16 | Term Exams | Review of the entire course material | |
| 17 | Term Exams | Review of the entire course material |
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 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 6 | 84 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 164 | ||
| Total Workload / 25 (h) | 6,56 | ||
| ECTS | 7 ECTS | ||