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Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| PHYSICS PR. | |
| Code | FZK203 |
| Name | Differential Equations |
| Term | 2019-2020 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. AYSUN AKYÜZ |
| Course Instructor |
Prof. Dr. AYSUN AKYÜZ
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Teaching of basic theories of differential equations, solutions and applications
Course Content
Classification of diferential equations, Existence of solutions, First-order differential equations, Applications of first-order differential equations, Solutions of Second and Higher-order linear differential equations, Applications of Second-order linear diferential equations, Series solutions of differential equations, Frobenius method, Approximate methods of solving first-order equations, Laplace transform, Laplace transform solution of linear differential equations with constant coefficients
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Describes the differential equation, explains its formation and solution. |
| LO02 | Comprehends the solution methods of first order differential equations |
| LO03 | Understands, applications of first -order equations in mechanics |
| LO04 | Understands, solution methods of higher-order linear differential equations |
| LO05 | Understands applications of second- order linear differential equations |
| LO06 | Express the fundamental theorem of higher order linear differential equations. |
| LO07 | Determine the type of linear equation system |
| LO08 | Solve homogeneous linear systems with constant coefficients |
| LO09 | Understand the series solutions of linear equation systems |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explain the basic concepts and principles in the field of physics. | 5 |
| PLO02 | - | Evaluate the developmets in the field of Physics by using scientific methods and techniques. | 4 |
| PLO03 | - | Combine the knowledge in the field of physics with the other scientific area | 5 |
| PLO04 | - | Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. | 5 |
| PLO05 | - | Explain the methods of producing scientific knowledge in the field of physics | 4 |
| PLO06 | - | Reach the Information in the field of physics, for the purpose of classification, and uses. | 4 |
| PLO07 | - | Use the advanced theoretical and practical knowledge acquired in the field of physics. | 4 |
| PLO08 | - | Design experiments in the field of physics. | 3 |
| PLO09 | - | Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. | 4 |
| PLO10 | - | Use the information technologies in Physics area for their purpose. | 0 |
| PLO11 | - | Take responsibility as a team or alone to overcome the problems encountered in the field of physics . | 4 |
| PLO12 | - | Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. | 4 |
| PLO13 | - | Classify, use and critically evaluate the knowledg taken by his/her efforts. | 4 |
| PLO14 | - | Know that learning process is life-long and acts accordingly. | 5 |
| PLO15 | - | Both with colleagues, as well as off the field of builds relationships ethically use information, communication technologies. Define necessities in learning in scientific, social, cultural and artistic areas and improve himself/herself accordingly. | 3 |
| PLO16 | - | Have knowledge of a foreign language at least monitoring developments in the field of physics. | 3 |
| PLO17 | - | Know the importance of individual development. | 3 |
| PLO18 | - | Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Classification of differential equations, definitions, existence of solutions | no preparation | |
| 2 | Exact differential equations and Integral factors, separable equations | Study the relevant chapter in the book | |
| 3 | Linear equations and Bernoulli equations, Special integrating factors | Study the relevant chapter in the book | |
| 4 | Applications of first-order differential equations, applications in mechanics | Study the relevant chapter in the book | |
| 5 | Second-order differential equations, Homogeneous linear equation with constant coefficient | Study the relevant chapter in the book | |
| 6 | The method of Undetermined coefficients | Study the relevant chapter in the book | |
| 7 | Variation of parameters method | Study the relevant chapter in the book | |
| 8 | Mid-Term Exam | review the topics | |
| 9 | Applications of the second-order linear differential equations with constant coefficient | Study the relevant chapter in the book | |
| 10 | Series solutions, Series solutions about an ordinary point | Study the relevant chapter in the book | |
| 11 | Solutions about singular points, The Method of Frobenius | Study the relevant chapter in the book | |
| 12 | Successive approximation method | Study the relevant chapter in the book | |
| 13 | The Laplace transform, basic properties | Study the relevant chapter in the book | |
| 14 | Laplace transform solution of linear differential equations with constant coefficients | Study the relevant chapter in the book | |
| 15 | The inverse Laplace transforms | Study the relevant chapter in the book | |
| 16 | Term Exams | review the topics | |
| 17 | Term Exams | an overview |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 80 | 32 |
| 1. Homework | 20 | 8 |
| 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 | 3 | 42 |
| 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) | 122 | ||
| Total Workload / 25 (h) | 4,88 | ||
| ECTS | 5 ECTS | ||