DEPARTMENT OF MATHEMATICS GRADUATE CURRICULUM

Ph.D. in Mathematics
Core Courses
MATH 597 Comprehensive Studies (0-2) NC AKTS:9
MATH 598 Graduate Seminar in PhD (0-2) NC AKTS:9
MATH 599 Scientific Research Techniques and Publication Ethics* (0-2) NC AKTS:8
MATH 600 Ph.D. Thesis (0-1) NC AKTS:26
MATH 8XX Special Studies (8-0) NC AKTS:4

*This course is not obligatory for the PhD students who already pass this course during their M.S. study.

Total credit (min.): 21 (for students with M.S. degree)
Number of courses with credit (min.): 7 (for students with M.S. degree)

Total credit (min.): 42 (for students with B.S. degree)
Number of courses with credit (min.): 14 (for students with B.S. degree)

 

Elective Courses
MATH 501 Combinatorial Design Theory (3-0)3 ECTS:7
MATH 502 Harmonic Analysis (3-0)3 ECTS:7
MATH 503 Inverse Problems (3-0)3 ECTS:7
MATH 505 Fundamental Methods in Discrete Mathematics (3-0)3 ECTS:7
MATH 506 Combinatorics (3-0)3 ECTS:7
MATH 507 Stochastic Calculus and Finance (3-0)3 ECTS:7
MATH 508 Graph Theory (3-0)3 ECTS:7
MATH 510 Hilbert Space Theory with Applications (3-0)3 ECTS:7
MATH 511 Algorithms I (3-0)3 ECTS:7
MATH 512 Algorithms II (3-0)3 ECTS:7
MATH 513 Mathematical Methods of Fluid Mechanics (3-0)3 ECTS:7
MATH 515 Real Analysis (3-0)3 ECTS:8
MATH 516 Complex Analysis (3-0)3 ECTS:8
MATH 517 Advanced Linear Algebra (3-0)3 ECTS:8
MATH 518 Numerical Linear Algebra (3-0)3 ECTS:7
MATH 519 Methods of Mathematical Physics (3-0)3 ECTS:8
MATH 520 Mathematical Models of Nonlinear Waves (3-0)3 ECTS:7
MATH 521 Module and Ring Theory I (3-0)3 ECTS:7
MATH 522 Module and Ring Theory II (3-0)3 ECTS:7
MATH 523 Algebraic Topology I (3-0)3 ECTS:7
MATH 524 Algebraic Topology II (3-0)3 ECTS:7
MATH 525 Introduction to Homological Algebra (3-0)3 ECTS:8
MATH 526 Relative Homological Algebra (3-0)3 ECTS:7
MATH 527 Basic Abstract Algebra (3-0)3 ECTS:8
MATH 528 Set Theory (3-0)3 ECTS:7
MATH 529 Abelian Groups (3-0)3 ECTS:7
MATH 530 Quantum Calculus (3-0)3 ECTS:7
MATH 531 Numerical Solution of ODE (3-0)3 ECTS:8
MATH 533 Ordinary Differential Equations (3-0)3 ECTS:8
MATH 534 Partial Differential Equations (3-0)3 ECTS:8
MATH 535 Perturbation Method for Differential Equations (3-0)3 ECTS:7
MATH 536 Geometric Integration (3-0)3 ECTS:7
MATH 539 Numerical Analysis (3-0)3 ECTS:8
MATH 540 Numerical Solution of Partial Differential Equations (3-0)3 ECTS:7
MATH 541 Ring Theory (3-0)3 ECTS:8
MATH 542 Algebraic Number Theory (3-0)3 ECTS:8
MATH 543 Commutative Algebra I (3-0)3 ECTS:7
MATH 544 Commutative Algebra II (3-0)3 ECTS:7
MATH 546 Advanced Module Theory (3-0)3 ECTS:7
MATH 547 Selected Topics in Rings and Modules (3-0)3 ECTS:7
MATH 548 Introduction to Algebraic Geometry (3-0)3 ECTS:7
MATH 549 Selected Topics in Algebraic Geometry (3-0)3 ECTS:7
MATH 554 Brownian Motion and Schrödinger's Equation (3-0)3 ECTS:7
Math 555 Additive Combinatorics (3-0)3 ECTS:7
Math 556 Analytic Number Theory (3-0)3 ECTS:7
Math 557 Nonstandard Analysis (3-0)3 ECTS:7
MATH 562 Applied Functional Analysis (3-0)3 ECTS:7
MATH 563 Introduction to Finite Elements (3-0)3 ECTS:7
MATH 564 Functional Analysis (3-0)3 ECTS:8
MATH 565 Introduction to Spectral Theory (3-0)3 ECTS:7
MATH 566 Mathematical Foundations of Finite Element Method (3-0)3 ECTS:7
MATH 567 Mathematical Methods of Quantum Mechanics I (3-0)3 ECTS:7
MATH 568 Mathematical Methods of Quantum Mechanics II (3-0)3 ECTS:7
MATH 569 Basic Quantum Computation and Quantum Information (3-0)3 ECTS:7
MATH 570 Theory of Bounded Operators (3-0)3 ECTS:7
MATH 571 Mathematical Methods of Classical Mechanics I (3-0)3 ECTS:7
MATH 572 Mathematical Methods of Classical Mechanics II (3-0)3 ECTS:7
MATH 573 Modern Geometry I (3-0)3 ECTS:8
MATH 574 Modern Geometry II (3-0)3 ECTS:7
MATH 575 Integral Equations (3-0)3 ECTS:7
MATH 576 Introduction to Solution Theory (3-0)3 ECTS:7
MATH 577 Supersymmetric Quantum Mechanics (3-0)3 ECTS:7
MATH 578 Asymptotic Analysis (3-0)3 ECTS:7
MATH 579 Applied Complex Analysis (3-0)3 ECTS:7
MATH 581 Topology I (3-0)3 ECTS:7
MATH 582 Topology II (3-0)3 ECTS:7 Pre. MATH 581
MATH 583 Post Quantum Cryptography (3-0)3 ECTC:7
MATH 584 Partial Differential Equations II (3-0)3 ECTS:8
MATH 585 Symmetries and Groups (3-0)3 ECTS:7
MATH 586 Hilbert Spaces and Quantum Theory (3-0)3 ECTS:7
MATH 587 Mathematics of Public Key Cryptography (3-0)3 ECTS:7
MATH 588 Mathematical Control Theory for Infinite Dimensional
Systems (3-0)3 ECTS:7
MATH 589 Advanced Combinatorics (3-0)3 ECTS:7
MATH 590 Selected Topics in Applied Mathematics (3-0)3 ECTS:7 Pre. Consent of Instructor
MATH 591 Manifold Theory (3-0)3 ECTS:8
MATH 592 Advanced Knot Theory (3-0)3 ECTS:7
MATH 593 Topics in Geometric Topology (3-0)3 ECTS:8
MATH 595 Graduation Project (0-2) Non-Credit ECTS:5
MATH 596 Graduate Seminar (0-2) Non-Credit ECTS:9
MATH 597 Comprehensive Studies (0-2 )Non-Credit ECTS:9
MATH 598 Graduate Seminar in PhD (0-2) Non-Credit AKTS:9
MATH 599 Scientific Research Techniques and Publication Ethics (0-2) Non-Credit AKTS:8
MATH 500 M.S. Thesis (0-1) Non-Credit ECTS:26
MATH 600 Ph.D. Thesis (0-1) Non-Credit ECTS:26
MATH 8XX Special Studies (8-0) Non-Credit ECTS:4

 

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This page was updated on 27.09.2021.