ECTS - - Ph.D. on B.S. in Mathematics
1. Semester
Program Competencies |
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| Departmental Elective | - | - | - | - | - | - | - | - | - | - | |
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| Departmental Elective | - | - | - | - | - | - | - | - | - | - | |
| Departmental Elective | - | - | - | - | - | - | - | - | - | - | |
| MDES602 | Research Methods and Ethics | - | - | - | - | - | - | - | - | - | - |
| MATH613 | Mathematical Analysis | - | - | - | - | - | - | - | - | - | - |
| MATH612 | Advanced Linear Algebra | - | - | - | - | - | - | - | - | - | - |
2. Semester
Program Competencies |
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| Course Code | Course Name | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Departmental Elective | - | - | - | - | - | - | - | - | - | - | |
| Departmental Elective | - | - | - | - | - | - | - | - | - | - | |
| Departmental Elective | - | - | - | - | - | - | - | - | - | - | |
| Departmental Elective | - | - | - | - | - | - | - | - | - | - | |
| Departmental Elective | - | - | - | - | - | - | - | - | - | - | |
| Departmental Elective | - | - | - | - | - | - | - | - | - | - | |
3. Semester
Program Competencies |
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| Course Code | Course Name | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Departmental Elective | - | - | - | - | - | - | - | - | - | - | |
| Departmental Elective | - | - | - | - | - | - | - | - | - | - | |
| MATH982 | PhD Seminar | - | - | - | - | - | - | - | - | - | - |
4. Semester
Program Competencies |
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| Course Code | Course Name | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| MATH989 | PhD Qualifying Exam | - | - | - | - | - | - | - | - | - | - |
5. Semester
Program Competencies |
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| Course Code | Course Name | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| MATH991 | PhD Thesis Proposal | - | - | - | - | - | - | - | - | - | - |
6. Semester
Program Competencies |
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| Course Code | Course Name | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| MATH997 | PhD Thesis | - | - | - | - | - | - | - | - | - | - |
| MATH996 | Special Studies on Thesis Subject | - | - | - | - | - | - | - | - | - | - |
Area Elective
Program Competencies |
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| Course Code | Course Name | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| MATH521 | Numerical Analysis I | 5 | 4 | 4 | 3 | 4 | 5 | 4 | 5 | 1 | 4 |
| MATH522 | Numerical Analysis II | 5 | 4 | 4 | 3 | 4 | 5 | 4 | 4 | 1 | 4 |
| MATH524 | Finite Difference Methods for PDEs | 5 | 4 | 4 | 3 | 4 | 5 | 4 | 4 | 4 | 5 |
| MATH543 | Group Theory I | 4 | 5 | 4 | 4 | 4 | 4 | 4 | 5 | 3 | 5 |
| MATH552 | Complex Analysis | 5 | 4 | 5 | 4 | 4 | 5 | 4 | 5 | 3 | 5 |
| MATH557 | Functional Analysis | 4 | 4 | 5 | 4 | 3 | 5 | 4 | 3 | 4 | 5 |
| MATH562 | Theory of Differential Equations | 4 | 4 | 4 | 5 | 5 | 4 | 4 | 5 | 3 | 5 |
| MATH564 | Impulsive Differential Equations | 5 | 4 | 5 | 5 | 4 | 5 | 5 | 4 | 5 | 5 |
| MATH571 | Topology | 4 | 5 | 3 | 4 | 5 | 3 | 4 | 4 | 5 | 4 |
| MATH575 | Calculus on Manifolds | 5 | 4 | 5 | 4 | 5 | 4 | 4 | 4 | 4 | 5 |
| MATH577 | An Introduction to Low Dimensional Topology | 5 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 4 |
| MATH545 | Introduction to Authenticated Encryption | 5 | 4 | 5 | 4 | 4 | 3 | 4 | 3 | 5 | 3 |
| MATH542 | Algebraic Number Theory | 4 | 5 | 4 | 4 | 3 | 4 | 4 | 4 | 5 | 4 |
| MATH546 | Galois Theory | 5 | 3 | 4 | 5 | 4 | 5 | 4 | 4 | 4 | 5 |
| MATH565 | Dynamic Systems on Time Scales | 4 | 5 | 4 | 5 | 5 | 4 | 4 | 4 | 4 | 5 |
| MATH572 | Differentiable Manifolds | 5 | 4 | 4 | 3 | 5 | 4 | 4 | 4 | 3 | 5 |
| MATH574 | Riemannian Geometry | 5 | 3 | 4 | 4 | 4 | 5 | 3 | 3 | 4 | 5 |
| MATH582 | Approximation Theory | 5 | 4 | 4 | 3 | 5 | 4 | 4 | 3 | 5 | 4 |
| MATH547 | Algebraic Geometry | 5 | 3 | 4 | 5 | 4 | 3 | 5 | 4 | 4 | 4 |
| MATH556 | Applied Functional Analysis | 4 | 3 | 5 | 4 | 4 | 4 | 5 | 4 | 4 | 5 |
| MATH563 | Difference Equations | 5 | 4 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 5 |
| MATH573 | Algebraic Topology | 5 | 4 | 4 | 3 | 5 | 4 | 4 | 5 | 4 | 3 |
| MATH591 | Analytical Probability Theory | 5 | 4 | 4 | 3 | 4 | 5 | 4 | 4 | 4 | 3 |
| MATH584 | Nonlinear Problems in Applied Mathematics | 5 | 4 | 5 | 4 | 4 | 4 | 4 | 5 | 4 | 4 |
| MATH576 | Differential Topology | 4 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 5 |
| MATH585 | Mathematical Modeling | 4 | 4 | 5 | 4 | 4 | 4 | 5 | 4 | 4 | 4 |
| MATH555 | Bernstein Polynomials | 4 | 5 | 4 | 5 | 4 | 4 | 5 | 4 | 4 | 5 |
| MATH630 | Analytic Number Theory | 3 | 4 | 4 | 3 | 4 | 5 | 4 | 4 | 4 | 2 |
| MATH640 | Time Series Analysis | 5 | 4 | 4 | 2 | 5 | 4 | 5 | 3 | 5 | 1 |
| MATH651 | Measure Theory and Functional Analysis | 4 | 4 | 3 | 3 | 4 | 4 | 4 | 4 | 3 | 1 |
| MATH670 | Mathematical Models in Biology | 5 | 2 | 4 | 2 | 5 | 4 | 3 | 2 | 5 | 4 |
| MATH658 | Operator Theory | 4 | 4 | 4 | 5 | 3 | 4 | 5 | 4 | 3 | 1 |
| MATH659 | Spectral Representations and Unbounded Operator Theory | 4 | 4 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 1 |