| 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 |
| MAT5014 | Boundary Value Problems | Fall | 3 | 0 | 3 | 12 |
| 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 : | Assoc. Prof. ERSİN ÖZUĞURLU |
| Course Objectives: | Nonclassical equations of mathematical physics. Fourier series solution. Fourier and Laplace transformations and their applications to PDE. Approximate solutions of the nonlocal boundary value problems for PDE mixed types. Difference Schemes of the nonlocal boundary value problems for PDE of mixed types. Stability of difference schemes for partial differential equations of variable types. |
|
The students who have succeeded in this course; Students 1. will be able to solve partial differential equations 2. can solve engineering and physics problems 3. can analyze the stability of difference schemes for partial differential equations |
| Nonclassical equations of mathematical physics. Fourier series solution. Fourier and Laplace transformations and their applications to PDE. Approximate solutions of the nonlocal boundary value problems of the nonlocal boundary value problems for PDE mixed types. Difference Schemes of the nonlocal boundary value problems for PDE of mixed types. Stability of difference schemes for partial differential equations of variable types. |
| Week | Subject | Related Preparation | |
| 1) | Nonclassical equations of mathematical physics. | ||
| 2) | Fourier series solution. | ||
| 3) | Fourier and Laplace transformations and their applications to PDE. | ||
| 4) | Fourier and Laplace transformations and their applications to PDE. | ||
| 5) | Approximate solutions of the nonlocal boundary value problems for PDE mixed types. | ||
| 6) | Approximate solutions of the nonlocal boundary value problems of the nonlocal boundary value problems for PDE mixed types. | ||
| 7) | Difference Schemes of the nonlocal boundary value problems for PDE of mixed types. | ||
| 8) | Difference Schemes of the nonlocal boundary value problems for PDE of mixed types. | ||
| 9) | Difference Schemes of the nonlocal boundary value problems for PDE of mixed types. | ||
| 10) | Stability of difference schemes for partial differential equations of variable types. | ||
| 11) | Stability of difference schemes for partial differential equations of variable types. | ||
| 12) | Stability of difference schemes for partial differential equations of variable types. | ||
| 13) | Stability of difference schemes for partial differential equations of variable types. | ||
| 14) | Stability of difference schemes for partial differential equations of variable types. | ||
| Course Notes: | Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems (Classics in Applied Mathematic), Randall J. LeVeque, SIAM, Society for Industrial and Applied Mathematics (July 10, 2007) |
| References: | . |
| 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 | 7 | % 30 |
| Presentation | 1 | % 30 |
| Project | % 0 | |
| Seminar | % 0 | |
| Midterms | % 0 | |
| Preliminary Jury | % 0 | |
| Final | 1 | % 40 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 60 | |
| PERCENTAGE OF FINAL WORK | % 40 | |
| 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 | 0 | 0 | 0 |
| Presentations / Seminar | 1 | 40 | 40 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 7 | 14 | 98 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | ||
| Midterms | 0 | 0 | 0 |
| Paper Submission | 0 | ||
| Jury | 0 | ||
| Final | 1 | 20 | 20 |
| Total Workload | 200 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |