Faculty Of Engıneerıng
Electrıcal And Electronıcs Engıneerıng (Englısh)
Course Information
| DIFFERENTIAL EQUATIONS | |||||
|---|---|---|---|---|---|
| Code | Semester | Theoretical | Practice | National Credit | ECTS Credit |
| Hour / Week | |||||
| MAT203 | Fall | 4 | 0 | 4 | 4 |
| Prerequisites and co-requisites | |
|---|---|
| Language of instruction | English |
| Type | Required |
| Level of Course | Bachelor's |
| Lecturer | Asst. Prof. Ali Kemal HAVARE |
| Mode of Delivery | Face to Face |
| Suggested Subject | |
| Professional practise ( internship ) | None |
| Objectives of the Course | Introduce the types of the differential equations, give the required methods for solving the differential equations and demonstrate their engineering applications. |
| Contents of the Course | Types of differential equations and definitions, Solving of first order differential equations, Solving of higher order differential equations, Modeling with first order differential equations, Modeling with higher order differential equations, Series solutions of differential equations, Laplace transforms of differential equations, Numerical solutions of differential equations. |
Learning Outcomes of Course
| # | Learning Outcomes |
|---|---|
| 1 | Getting knowledge about First order differential equations: separable and linear equations |
| 2 | Getting knowledge about First order differential equations: exact equations |
| 3 | Getting knowledge about Higher order differential equations: reduction of order, homogeneous linear equations, superposition and annihilator appr. |
| 4 | Getting knowledge about Numerical solutions of ordinary differential equations: Euler method |
| 5 | Getting knowledge about Numerical solutions of ordinary differential equations: Runge-Kutta method |
Course Syllabus
| # | Subjects | Teaching Methods and Technics |
|---|---|---|
| 1 | Definitions, terminology and initial value problems | Lecture |
| 2 | First order differential equations: separable and linear equations | Lecture |
| 3 | First order differential equations: exact equations | Lecture |
| 4 | Modeling with first order differential equations: linear equations | Lecture |
| 5 | Modeling with first order differential equations: nonlinear equations | Lecture |
| 6 | Higher order differential equations: reduction of order, homogeneous linear equations, superposition and annihilator appr. | Lecture |
| 7 | Modeling with higher order differential equations: spring-mass systems, series circuit analogue etc. | Lecture |
| 8 | Midterm exam | |
| 9 | Series solutions of linear equations | Lecture |
| 10 | Matrix notation of differential equations | Lecture |
| 11 | Laplace transform | Lecture |
| 12 | Homogeneous linear systems | Lecture |
| 13 | Nonhomogeneous linear systems | Lecture |
| 14 | Numerical solutions of ordinary differential equations: Euler method | Lecture |
| 15 | Numerical solutions of ordinary differential equations: Runge-Kutta method | Lecture |
| 16 | Final Exam |
Course Syllabus
| # | Material / Resources | Information About Resources | Reference / Recommended Resources |
|---|---|---|---|
| 1 | Dennis G. Zill, A First Course in Differential Equations with Modeling Applications, 10th Edition, ISBN-13: 978-1-111-82705-2. |
Method of Assessment
| # | Weight | Work Type | Work Title |
|---|---|---|---|
| 1 | 40% | Mid-Term Exam | Mid-Term Exam |
| 2 | 60% | Final Exam | Final Exam |
Relationship between Learning Outcomes of Course and Program Outcomes
| # | Learning Outcomes | Program Outcomes | Method of Assessment |
|---|---|---|---|
| 1 | Getting knowledge about First order differential equations: separable and linear equations | 1 | 1͵2 |
| 2 | Getting knowledge about First order differential equations: exact equations | 1 | 1͵2 |
| 3 | Getting knowledge about Higher order differential equations: reduction of order, homogeneous linear equations, superposition and annihilator appr. | 1 | 1͵2 |
| 4 | Getting knowledge about Numerical solutions of ordinary differential equations: Euler method | 1 | 1͵2 |
| 5 | Getting knowledge about Numerical solutions of ordinary differential equations: Runge-Kutta method | 1 | 1͵2 |
Work Load Details
| # | Type of Work | Quantity | Time (Hour) | Work Load |
|---|---|---|---|---|
| 1 | Course Duration | 14 | 4 | 56 |
| 2 | Course Duration Except Class (Preliminary Study, Enhancement) | 14 | 3 | 42 |
| 3 | Presentation and Seminar Preparation | 0 | 0 | 0 |
| 4 | Web Research, Library and Archival Work | 0 | 0 | 0 |
| 5 | Document/Information Listing | 0 | 0 | 0 |
| 6 | Workshop | 0 | 0 | 0 |
| 7 | Preparation for Midterm Exam | 1 | 10 | 10 |
| 8 | Midterm Exam | 1 | 2 | 2 |
| 9 | Quiz | 0 | 0 | 0 |
| 10 | Homework | 0 | 0 | 0 |
| 11 | Midterm Project | 0 | 0 | 0 |
| 12 | Midterm Exercise | 0 | 0 | 0 |
| 13 | Final Project | 0 | 0 | 0 |
| 14 | Final Exercise | 0 | 0 | 0 |
| 15 | Preparation for Final Exam | 1 | 15 | 15 |
| 16 | Final Exam | 1 | 3 | 3 |
| 128 | ||||