| Course Name | Code | Semester | T+U Hours | Credit | ECTS |
|---|---|---|---|---|---|
| Differential Equations | IME 302 | 6 | 4 + 0 | 4 | 5 |
| Precondition Courses | |
| Recommended Optional Courses | |
| Course Language | Turkish |
| Course Level | Bachelor's Degree |
| Course Type | Compulsory |
| Course Coordinator | Dr.Öğr.Üyesi AYŞE ZEYNEP AZAK |
| Course Lecturers | Dr.Öğr.Üyesi AYŞE ZEYNEP AZAK, |
| Course Assistants | Res.Assist.Mithat TAKUNYACI |
| Course Category | Available Basic Education in the Field |
| Course Objective | Inform areas of mathematics usage with given basic concepts and known solution methods on differential equations by the help of this course which has wide application areas in many science. |
| Course Content | Concept of differential equation, classification of differential equations, initial value problems, general solutions, separable equations to values, homogeneous equations, trasformed equations to homogeneous, total differential equations, integration factor and trasformed to total differential equations, linear differential equations in single order, Bernoulli and Riccati differential equations. High degree equations in single order, equations in second order without one of the values, applications of differential equations in second order. High degree differential equations and linear differential equations and solutions. |
| # | Course Learning Outcomes | Teaching Methods | Assessment Methods |
|---|---|---|---|
| 1 | Express concept of differential equation and categorize differential equations | Lecture, Drilland Practice, | Testing, Homework, |
| 2 | Solve differential equations in single order | Lecture, Drilland Practice, | Testing, Homework, |
| 3 | Solve and apply applications of high degree equations in single order and differential equations in second order | Lecture, Drilland Practice, | Homework, Testing, |
| 4 | Explain and solve Bernoulli and Riccati differential equations | Drilland Practice, Lecture, | Testing, Homework, |
| 5 | Explain and solve high degree differential equations | Lecture, Drilland Practice, | Testing, Homework, |
| Week | Course Topics | Preliminary Preparation |
|---|---|---|
| 1 | Concept of differential equation, classification of differential equations | |
| 2 | Initial value problems, general solutions | |
| 3 | Separable equations to values and homogeneous equations | |
| 4 | Trasformed equations to homogeneous and total differential equations | |
| 5 | Integration factor and trasformed to total differential equations | |
| 6 | Linear differential equations in single order | |
| 7 | Bernoulli and Riccati differential equations | |
| 8 | High degree equations in single order, equations in second order without one of the values | |
| 9 | Mid- Term Exam | |
| 10 | Applications of differential equations in second order | |
| 11 | Applications of differential equations in second order | |
| 12 | High degree differential equations | |
| 13 | High degree differential equations | |
| 14 | Linear differential equations and solutions. |
| Resources | |
|---|---|
| Course Notes | |
| Course Resources | |
| Order | Program Outcomes | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Have general information about basic concept, theory and applicaitons on mathematics | X | |||||
| 2 | Have ability of mathematical thinking and apply to real life | X | |||||
| 3 | Classify a problem systematically also create comprehensible, understandable and objective solutions | X | |||||
| 4 | Establish relationship among events looked different | X | |||||
| 5 | Get clear and exact ideas about relationships among time, place and numbers | X | |||||
| 6 | Use principles of scientific method on problem solving | X | |||||
| 7 | Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed | X | |||||
| 8 | Think creative and critical | X | |||||
| 9 | Improve methods as fast, understandable and practical to faced problems | X | |||||
| 10 | Have information about national and international modern problems | ||||||
| 11 | Get life long learning behaviour | ||||||
| 12 | Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System | ||||||
| 13 | Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers. | ||||||
| 14 | Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment. | ||||||
| 15 | Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) | X | |||||
| Evaluation System | |
|---|---|
| Semester Studies | Contribution Rate |
| 1. Ödev | 10 |
| 1. Ara Sınav | 60 |
| 1. Kısa Sınav | 15 |
| 2. Kısa Sınav | 15 |
| Total | 100 |
| 1. Yıl İçinin Başarıya | 40 |
| 1. Final | 60 |
| Total | 100 |
| ECTS - Workload Activity | Quantity | Time (Hours) | Total Workload (Hours) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 4 | 64 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 2 | 32 |
| Mid-terms | 1 | 10 | 10 |
| Quiz | 2 | 2 | 4 |
| Assignment | 1 | 10 | 10 |
| Final examination | 1 | 15 | 15 |
| Total Workload | 135 | ||
| Total Workload / 25 (Hours) | 5.4 | ||
| dersAKTSKredisi | 5 | ||