| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT6021 | Selected Topics in Applied Mathematics | Fall | 3 | 0 | 3 | 8 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | Tr |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Prof. Dr. CANAN ÇELİK KARAASLANLI |
| Course Objectives: | This course covers the topics which are not covered in the other applied mathematics courses. |
|
The students who have succeeded in this course; Analyze boundary value problems Solve differential equations using asymptotic methods underlie numerous applications of physical applied mathematics Read research papers from journals Apply methods to interdisciplinary research problems Develop skills by applying them to specific tasks in tutorials and assessments Demonstrate mathematical and computational methods Discuss topics in applied mathematics |
| Asymptotic methods for partial differential equations. Uniform single-step difference schemes. Uniform twostep difference schemes. Asymptotic methods for partial differential equations of mixed types. Uniform difference schemes for partial differential equations mixed types. |
| Week | Subject | Related Preparation | |
| 1) | Boundary-value problems for partial differential equations with small parameter multiplying the derivative term. | ||
| 2) | Boundary-value problems for partial differential equations with small parameter multiplying the derivative term. | ||
| 3) | Asymptotic methods for partial differential equations. | ||
| 4) | Asymptotic methods for partial differential equations. | ||
| 5) | Uniform single-step difference schemes. | ||
| 6) | Uniform single-step difference schemes. | ||
| 7) | Uniform single-step difference schemes. | ||
| 8) | Uniform single-step difference schemes. | ||
| 9) | Asymptotic methods for partial differential equations of mixed types. | ||
| 10) | Asymptotic methods for partial differential equations of mixed types. | ||
| 11) | Asymptotic methods for partial differential equations of mixed types. | ||
| 12) | Uniform multi-step difference schemes. | ||
| 13) | Uniform multi-step difference schemes. | ||
| 14) | Uniform multi-step difference schemes. | ||
| Course Notes: | M.H. Holmes, Introduction to Perturbation Methods, 1995, Springer. |
| References: | Bender and Orszag, Advanced Mathematical Methods for Scientists and Engineers, 1999, Springer. Michael J. Ward, course notes on Asymptotic methods, http://www.math.ubc.ca/~ward/teaching/math550.html Ferdinand Verhulst. Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics, Springer, 2005. ISBN 0-387-22966-3. |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | % 0 | |
| Laboratory | % 0 | |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | % 0 | |
| Homework Assignments | % 0 | |
| Presentation | 1 | % 20 |
| Project | % 0 | |
| Seminar | % 0 | |
| Midterms | 1 | % 30 |
| Preliminary Jury | % 0 | |
| Final | 1 | % 50 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 50 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 14 | 5 | 70 |
| Presentations / Seminar | 1 | 40 | 40 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 0 | 0 | 0 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | ||
| Midterms | 2 | 10 | 20 |
| Paper Submission | 0 | ||
| Jury | 0 | ||
| Final | 1 | 28 | 28 |
| Total Workload | 200 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |