ECTS - - Ph.D. on B.S. in Mathematics

1. Semester

Program Competencies

Course Code Course Name 1 2 3 4 5 6 7 8 9 10
MATH622 Advanced Linear Algebra 5 4 4 5 4 5 5 4 4 1
MATH691 Thesis Proposal 5 5 5 5 5 5 5 5 5 5
MATH682 Seminar 5 5 5 5 5 5 5 5 5 5
MATH697 Doctoral Thesis 5 5 5 5 5 5 5 5 5 5
MATH689 Qualification Exam 5 5 5 5 5 5 5 5 5 5
MATH696 Special Studies on Thesis Subject 4 5 3 4 5 4 4 4 4 4
MATH611 Mathematical Analysis 4 4 4 3 3 3 4 4 4 1
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Area Elective

Program Competencies

Course Code Course Name 1 2 3 4 5 6 7 8 9 10
MDES600 Research Methodology and Communication Skills 4 4 3 3 4 4 3 3 3 1
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
MFGE505 Practical Finite Elements (Linear Finite Element) 4 3 4 4 3 4 3 4 3 1
MFGE576 Nonlinear Finite Element Method 3 3 4 3 3 3 4 3 4 1
MFGE508 Boundary Element Method 3 3 4 4 3 4 4 3 4 4
MDES610 Mathematical Modeling via Differential and Difference Equations 4 4 5 4 4 4 5 5 3 1
MDES615 Analytical Probability Theory 4 5 3 4 4 3 3 3 4 1
MDES618 Probabilistic Methods in Engineering 4 4 4 4 3 4 4 4 5 1
MDES620 Numerical Solution of Differential Equations 4 4 5 4 4 3 5 4 4 1
MDES621 Numerical Linear Algebra 4 5 4 4 4 5 4 3 4 3
MATH555 Bernstein Polynomials 4 5 4 5 4 4 5 4 4 5
ME684 Finite Element Analysis of Solids and Fluids I 4 3 4 4 3 4 3 4 3 1
ME683 Boundary Element Method 5 3 3 4 4 3 4 3 4 3
ME685 Finite Element Analysis of Solids and Fluids II 4 4 3 4 4 3 5 3 4 3
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
EE611 Detection and Estimation 5 3 3 4 2 3 2 3 1 3
ECON552 Advance Data Modeling 3 3 4 3 4 3 3 3 1 4
MDES655 Linear Optimization 4 5 3 4 4 3 4 4 4 4
MATH658 Operator Theory 4 4 4 5 3 4 5 4 3 1
IE519 Forecasting 3 3 4 3 4 3 3 4 3 3
MATH659 Spectral Representations and Unbounded Operator Theory 4 4 3 3 4 4 4 4 4 1