Graduate Courses Outlines

• Ελληνική έκδοση
• Department of Mathematics
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The Graduate Studies Program of the Department of Mathematics comprises of three Specializations. Each Specialization includes courses provided by up to two Sections.

Mathematics (Analysis - Algebra - Geometry)

This Specialization includes courses provided by two Sections.

Section A

1. Real Analysis (AN1)
2. General Topology (AN2)
3. Complex Analysis (AN3)
4. Functional Analysis (AN4)
5. Differential Equations (AN5)
6. Partial Differential Equations (AN6)
7. Measure Theory (AN7)
8. Harmonic Analysis (AN8)
9. Operator Theory (AN9)
10. Topological Methods in Differential Equations (AN10)
11. Convex Analysis (AN11)
12. Independent Study in Analysis I (AN12)
13. Independent Study in Analysis II (AN13)

Section B

1. Algebra I (ΑΛ1)
2. Algebra II (ΑΛ2)
3. Applied Algebra (ΑΛ3)
4. Algebraic Number Theory (ΑΛ4)
5. Homological Algebra (ΑΛ5)
6. Specialized Topics in Algebra (ΑΛ6)
7. Classical Differential Geometry (ΓΕ1)
8. Differential Geometry (ΓΕ2)
9. Riemannian Geometry (ΓΕ3)
10. Differential Topology (ΓΕ4)
11. Algebraic Topology I (ΓΕ5)
12. Algebraic Topology II (ΓΕ6)
13. Algebraic Geometry (ΓΕ7)
14. Specialized Topics in Geometry (ΓΕ8)

Statistics and Operations Research

This Specialization includes courses provided by Section C

1. Mathematical Statistics (ΣΕΕ1)
2. Linear Models (ΣΕΕ2)
3. Mathematical Programming (ΣΕΕ3)
4. Biostatistics (ΣΕΕ4)
5. Data Analysis and Statistical Packages (ΣΕΕ5)
6. Multivariate Analysis (ΣΕΕ6)
7. Non Linear Programming (ΣΕΕ7)
8. Sampling Theory (ΣΕΕ8)
9. Probability Theory (ΣΕΕ9)
10. Applied Multivariate Analysis (ΣΕΕ10)
11. Time series (ΣΕΕ11)
12. Computational Statistics Analysis (ΣΕΕ12)
13. Survival Analysis (ΣΕΕ13)
14. Non Parametric Statistics (ΣΕΕ14)
15. Stochastic analysis with applications (ΣΕΕ15)
16. Risk Management (ΣΕΕ16)
17. Game theory (ΣΕΕ17)
18. Inventory theory (ΣΕΕ18)
19. Advanced Topics in Statistics (ΣΕΕ19)
20. Advanced Topics in Operational Research (ΣΕΕ20)

Applied Mathematics and Computer Science

This Specialization includes courses provided by Section D

1. Numerical Analysis (ΑΑ1)
2. Approximation Theory (AA2)
3. Numerical Linear Algebra I (ΑΑ3)
4. Numerical Linear Algebra II (AA4)
5. Numerical Solution of Ordinary Differential Equations (AA5)
6. Numerical Solution of Partial Differential Equations (ΑΑ6)
7. Specialized Topics in Numerical Analysis (AA7)
8. Parallel Algorithms (AA8)
9. Methods of Applied Mathematics I (ΕΜ1)
10. Methods of Applied Mathematics ΙI (EM2)
11. Partial Differential Equations and Applications (EM3)
12. Fluid Mechanics (ΕΜ4)
13. Dynamical Systems and Chaos (ΕΜ5)
14. Integrable Systems (EM6)
15. Fractal Sets and Applications (EM7)
16. Calculus of Complex Functions and Applications (EM8)
17. Specialized Topics in Applied Mathematics (EM9)
18. Specialized Topics in Fluid Mechanics (EM10)
19. Complexity Theory (ΠΛ1)
20. Theory of Computation (ΠΛ2)
21. Advanced Algorithmic Topics (ΠΛ3)
22. Algorithmic Graph Theory (ΠΛ4)
23. Symbolic Computations (ΠΛ5)
24. Natural Language Processing (ΠΛ6)
25. Cryptography Algorithms and Security of Information Systems (ΠΛ7)
26. Distributed Computing Systems and Applications (ΠΛ8)
27. Special Topics in Theoretical Computer Science (ΠΛ9)
28. Special Topics in Computer Science (ΠΛ10)