ECTS - - Ph.D. in Mathematics

Atılım University - ECTS INFORMATION GUIDE

1. Semester

Program Competencies
Course Code Course Name 1 2 3 4 5 6 7 8 9 10
MATH611 Mathematical Analysis 4 4 4 3 3 3 4 4 4 1
MATH622 Advanced Linear Algebra 5 4 4 5 4 5 5 4 4 1
MATH682 Seminar 5 5 5 5 5 5 5 5 5 5
MATH689 Qualification Exam 5 5 5 5 5 5 5 5 5 5
MATH691 Thesis Proposal 5 5 5 5 5 5 5 5 5 5
MATH697 Doctoral Thesis 5 5 5 5 5 5 5 5 5 5
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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 2 2 3 2 2 2 2 3 2 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 5
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 3 3 4 4 4 4 3 1
MATH659 Spectral Representations and Unbounded Operator Theory 4 4 3 3 4 4 4 4 4 1
IE519 Forecasting 3 3 2 3 3 2 3 2 2 1
MATH521 Numerical Analysis I 5 4 5 3 3 4 5 4 5 3
MATH522 Numerical Analysis II 5 4 5 4 4 3 4 5 4 4
MATH524 Finite Difference Methods for PDEs 5 4 4 4 5 5 5 4 4 3
MATH543 Group Theory I 4 5 3 4 4 5 4 4 4 5
MATH552 Complex Analysis 5 5 4 3 4 4 5 4 5 4
MATH557 Functional Analysis 5 4 5 4 5 5 5 4 4 4
MATH562 Theory of Differential Equations 5 4 5 4 4 5 5 5 5 4
MATH564 Impulsive Differential Equations 4 4 5 4 5 3 4 5 4 4
MATH571 Topology 5 5 4 5 4 5 4 4 5 4
MATH575 Calculus on Manifolds 4 5 4 4 5 3 4 3 3 3
MATH577 An Introduction to Low Dimensional Topology 4 4 4 5 3 4 4 5 3 4
MATH545 Introduction to Authenticated Encryption 4 5 4 4 5 3 5 3 4 5
MATH542 Algebraic Number Theory 5 4 5 5 5 4 4 5 3 4
MATH546 Galois Theory 4 4 4 5 5 4 4 4 3 5
MATH565 Dynamic Systems on Time Scales 5 4 4 5 5 4 5 4 5 4
MATH572 Differentiable Manifolds 5 4 4 5 4 4 4 4 4 3
MATH574 Riemannian Geometry 4 5 3 4 5 4 4 4 4 4
MATH582 Approximation Theory 5 4 4 3 4 5 4 4 3 4
MATH547 Algebraic Geometry 4 5 4 4 5 4 5 4 4 4
MATH556 Applied Functional Analysis 5 4 4 5 4 5 4 5 4 4
MATH563 Difference Equations 5 5 4 5 4 5 4 5 4 4
MATH573 Algebraic Topology 4 5 5 4 5 4 4 4 5 4
MATH591 Analytical Probability Theory 4 4 3 4 3 4 5 3 4 4
MATH584 Nonlinear Problems in Applied Mathematics 5 4 4 3 5 4 4 4 5 3
MATH576 Differential Topology 4 3 4 4 3 4 4 4 4 5
MATH585 Mathematical Modeling 5 4 4 4 4 4 3 4 4 5
MFGE505 Practical Finite Elements (Linear Finite Element) 4 3 1 2 2 2 1 1 1 2
MFGE576 Nonlinear Finite Element Method 2 2 2 2 1 2 2 2 1 2
MFGE508 Boundary Element Method 3 2 2 2 2 2 2 3 2 2
MDES610 Mathematical Modeling via Differential and Difference Equations 5 5 4 5 5 4 5 4 5 5
MDES615 Analytical Probability Theory 4 5 4 5 5 4 5 5 4 4
MDES618 Probabilistic Methods in Engineering 5 4 4 5 4 5 4 3 3 4
MDES620 Numerical Solution of Differential Equations 5 5 5 5 4 4 5 5 4 5
MDES621 Numerical Linear Algebra 5 4 4 3 4 5 3 4 4 4
MDES655 Linear Optimization 4 5 3 3 3 3 2 3 3 2
MATH555 Bernstein Polynomials 5 5 4 3 4 5 4 4 5 4
ME684 Finite Element Analysis of Solids and Fluids I 2 2 2 2 2 2 2 3 3 1
EE611 Detection and Estimation 3 3 3 3 3 4 3 4 2 1
ME683 Boundary Element Method 2 2 2 3 3 2 2 2 2 2
ME685 Finite Element Analysis of Solids and Fluids II 4 4 4 4 4 3 3 4 3 2
ECON552 Advance Data Modeling 3 3 3 2 3 3 3 4 2 1