TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| PHYSICS PR. | |
| Code | MF231 |
| Name | Differential Equations |
| Term | 2017-2018 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Üniversite 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
Fundamental theories, methods and applications of differential equations, First -order differential equations, Exact differential equations and Integrating factors,Separable equations and equations reducible to this form, Linear equations and Bernoulli equations, Applications of first-order equations, Higher-order linear differential equations, Basic theory of linear differential equations, General solutions of homogeneous and non homogeneous linear equations, Cauchy-Euler equation, Applications of second-order 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 |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explain the basic concepts and principles in the field of physics. | |
| PLO02 | - | Evaluate the developmets in the field of Physics by using scientific methods and techniques. | |
| PLO03 | - | Combine the knowledge in the field of physics with the other scientific area. | |
| PLO04 | - | Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. | |
| PLO05 | - | Explain the methods of producing scientific knowledge in the field of physics. | |
| PLO06 | - | Reach the Information in the field of physics, for the purpose of classification, and uses. | |
| PLO07 | - | Use the advanced theoretical and practical knowledge acquired in the field of physics. | |
| PLO08 | - | Design experiments in the field of physics. | |
| PLO09 | - | Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. | |
| PLO10 | - | Use the information technologies in Physics area for their purpose. | |
| PLO11 | - | Take responsibility as a team or alone to overcome the problems encountered in the field of physics . | |
| PLO12 | - | Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. | |
| PLO13 | - | Classify, use and critically evaluate the knowledg taken by his/her efforts. | |
| PLO14 | - | Know that learning process is life-long and acts accordingly. | |
| 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. | |
| PLO16 | - | Have knowledge of a foreign language at least monitoring developments in the field of physics. | |
| PLO17 | - | Know the importance of individual development. | |
| PLO18 | - | Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Basic theories and methods of differential equations | no preparation | |
| 2 | Applications of differential equations | Study the relevant chapter in the book | |
| 3 | First-order differential equations | Study the relevant chapter in the book | |
| 4 | Exact differential equations and Integrating factors | Study the relevant chapter in the book | |
| 5 | Separable equations and equations reducible to this form | Study the relevant chapter in the book | |
| 6 | Linear equations and Bernoulli equations, | Study the relevant chapter in the book | |
| 7 | Applications of first-order equations | Study the relevant chapter in the book | |
| 8 | Mid-Term Exam | . | |
| 9 | Higher-order linear differential equations | Study the relevant chapter in the book | |
| 10 | Basic theory of linear differential equations | Study the relevant chapter in the book | |
| 11 | General solutions of homogeneous and non homogeneous linear equations | Study the relevant chapter in the book | |
| 12 | Cauchy-Euler Equation | Study the relevant chapter in the book | |
| 13 | Applications of second-order linear differential equations with constant coefficients I | Study the relevant chapter in the book | |
| 14 | Applications of second-order linear differential equations with constant coefficients, II | Study the relevant chapter in the book | |
| 15 | Repetition and exercise | Review all relevant chapters in the book | |
| 16 | Term Exams | . | |
| 17 | Term Exams | . |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Homework | 20 | 8 |
| 1. Midterm Exam | 80 | 32 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |