Mathematics
Course List
1st Semester
| CODE | COURSE NAME | M/E | T | P | C | ECTS |
|---|---|---|---|---|---|---|
| MTK613 | REAL ANALYSIS | M | 3 | 0 | 3 | 8 |
| MTK623 | ALGEBRA I | M | 3 | 0 | 3 | 8 |
| MTK635 | TOPOLOGY I | M | 3 | 0 | 3 | 8 |
| Total ECTS credits (Must courses) | 9 | 0 | 9 | 24 | ||
| CODE | COURSE NAME | M/E | T | P | C | ECTS |
| MTK609 | SET THEORY I | E | 3 | 0 | 3 | 7 |
| MTK615 | FUNCTIONAL ANALYSIS | E | 3 | 0 | 3 | 9 |
| MTK619 | ADVANCED CONTINUOUS OPTIMIZATION | E | 3 | 0 | 3 | 7 |
| MTK625 | INTRODUCTION TO HOMOLOGICAL ALGEBRA | E | 3 | 0 | 3 | 7 |
| MTK639 | DIFFERENTIAL GEOMETRY I | E | 3 | 0 | 3 | 9 |
| MTK649 | ALGEBRAIC GEOMETRY | E | 3 | 0 | 3 | 7 |
| MTK667 | CURVES and SURFACES | E | 3 | 0 | 3 | 7 |
| MTK669 | NONLINEAR FUNCTIONAL ANALYSIS and ITS APPL. I | E | 3 | 0 | 3 | 7 |
| MTK679 | SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS | E | 3 | 0 | 3 | 7 |
| MTK683 | DIFFERENTIAL EQUATIONS | E | 3 | 0 | 3 | 7 |
| MTK691 | COMPUTATIONAL GEOMETRY | E | 3 | 0 | 3 | 7 |
| MTK693 | NUMERICAL ANALYSIS | E | 3 | 0 | 3 | 7 |
| Total ECTS credits (Elective courses) | 6 | |||||
| 1st Semester Total ECTS | 30 | |||||
2nd Semester
| CODE | COURSE NAME | M/E | T | P | C | ECTS |
|---|---|---|---|---|---|---|
| MTK606 | SEMINAR | M | 0 | 2 | 0 | 1 |
| Total ECTS credits (Must courses) | 0 | 2 | 0 | 1 | ||
| CODE | COURSE NAME | M/E | T | P | C | ECTS |
| MTK610 | OPERATOR SEMIGROUPS and ERGODIC THEORY | E | 3 | 0 | 3 | 7 |
| MTK614 | COMPLEX ANALYSIS | E | 3 | 0 | 3 | 7 |
| MTK620 | APPLIED FUNCTIONAL ANALYSIS | E | 3 | 0 | 3 | 7 |
| MTK624 | ALGEBRA II | E | 3 | 0 | 3 | 9 |
| MTK626 | GROUP THEORY | E | 3 | 0 | 3 | 7 |
| MTK628 | ADVANCED LINEAR ALGEBRA | E | 3 | 0 | 3 | 7 |
| MTK630 | C*-ALGEBRAS and OPERATOR THEORY | E | 3 | 0 | 3 | 7 |
| MTK632 | INTRODUCTION TO LIE ALGEBRAS | E | 3 | 0 | 3 | 7 |
| MTK636 | TOPOLOGY II | E | 3 | 0 | 3 | 9 |
| MTK640 | DIFFERENTIAL GEOMETRY II | E | 3 | 0 | 3 | 7 |
| MTK660 | CURVES and CODES | E | 3 | 0 | 3 | 7 |
| MTK668 | COMPLEX ALGEBRAIC SURFACES | E | 3 | 0 | 3 | 7 |
| MTK670 | NONLINEAR FUNCTIONAL ANALYSIS and ITS APPL. II | E | 3 | 0 | 3 | 7 |
| MTK684 | PARTIAL DIFFERENTIAL EQUATIONS | E | 3 | 0 | 3 | 7 |
| MTK694 | NUMERICAL SOLUTION of ORDINARY DIFF. EQUATIONS | E | 3 | 0 | 3 | 7 |
| Total ECTS credits (Elective courses) | 29 | |||||
| 2nd Semester Total ECTS | 30 | |||||
3rd Semester
| CODE | COURSE NAME | M/E | T | P | C | ECTS |
|---|---|---|---|---|---|---|
| MTK699-01 | RESEARCH MSC THESIS | M | 4 | 0 | 0 | 30 |
| Total ECTS credits (Must courses) | 4 | 0 | 0 | 30 | ||
| Total ECTS credits (Elective courses) | 0 | |||||
| 3rd Semester Total ECTS | 30 | |||||
4th Semester
| CODE | COURSE NAME | M/E | T | P | C | ECTS |
|---|---|---|---|---|---|---|
| MTK699-02 | RESEARCH MSC THESIS | M | 4 | 0 | 0 | 30 |
| Total ECTS credits (Must courses) | 4 | 0 | 0 | 30 | ||
| Total ECTS credits (Elective courses) | 0 | |||||
| 4th Semester Total ECTS | 30 | |||||
Any Semester/Year
| CODE | COURSE NAME | M/E | T | P | C | ECTS |
|---|---|---|---|---|---|---|
| MTK 652 | SELECTION PRINCIPLES IN TOPOLOGICAL SPACES | E | 3 | 0 | 3 | 7 |
| MTK627 | INTRODUCTION TO COMMUTATIVE ALGEBRA | E | 3 | 0 | 3 | 7 |
| MTK650 | TOPOLOGICAL GAMES | E | 3 | 0 | 3 | 7 |
| MTK663 | INTRODUCTION TO THE SOLITON THEORY | E | 3 | 0 | 3 | 7 |
| MTK696 | CRYPTOGRAPHY | E | 3 | 0 | 3 | 7 |
| PROGRAM ECTS SUMMARY | |
| Semesters ECTS credits in total for Must Courses | 85 |
| Semesters ECTS credits in total for Elective Courses | 35 |
| Sum of ECTS credits required for graduation from the program | 120 |