APPLIED MATHEMATICS (TURKISH, THESIS) | |||||
Master | TR-NQF-HE: Level 7 | QF-EHEA: Second Cycle | EQF-LLL: Level 7 |
Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
MAT5014 | Boundary Value Problems | Fall | 3 | 0 | 3 | 12 |
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester. |
Language of instruction: | Turkish |
Type of course: | Departmental Elective |
Course Level: | |
Mode of Delivery: | Face to face |
Course Coordinator : | Assoc. Prof. ERSİN ÖZUĞURLU |
Recommended Optional Program Components: | None |
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 / Textbooks: | 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 |
Homework Assignments | 7 | % 30 |
Presentation | 1 | % 30 |
Final | 1 | % 40 |
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 |
Presentations / Seminar | 1 | 40 | 40 |
Homework Assignments | 7 | 14 | 98 |
Final | 1 | 20 | 20 |
Total Workload | 200 |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution |