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Pepole

CV

Content

Pepole

CV

| Post date: 2021/06/16 |

Compulsory Courses:

NO | Course | Units |

1 | Advanced numerical analysis | 3 |

2 | Real analysis | 3 |

Numerical Analysis branch: Specialized courses – optional:

No | Course | Units | Prerequisites or simultaneous courses |

1 | Numerical methods in linear algebra | 3 | _ |

2 | Numerical solution of ordinary differential equations | 3 | Advanced numerical analysis |

3 | Numerical solution of integral equations | 3 | Advanced numerical analysis |

4 | Theory of integral equations | 3 | Real analysis |

5 | Numerical solution of partial differential equations | 3 | Numerical solution of partial differential equations |

6 | Finite element method | 3 | Advanced numerical analysis, Real analysis |

7 | Approximation theory | 3 | Advanced numerical analysis, Real analysis |

8 | Wavelets and their application | 3 | Real analysis |

9 | Numerical solution of fractional differential and integral equations | 3 | Advanced numerical analysis |

10 | Numerical solution of stochastic differential equations | 3 | Numerical solution of stochastic differential equations |

11 | Interval analysis | 3 | Numerical methods in linear algebra |

12 | mathematical modeling |
3 | _ |

13 | Meshless methods | 3 | Advanced numerical analysis |

14 | Special Topics in Numerical Analysis | 3 | Group permission |

Main Lessons:

No | Course | Units |

1 | Advanced linear optimization | 3 |

2 | Advanced nonlinear optimization | 3 |

Optimization branch - Specialized optional courses:

No | Course | Units | Prerequisites or simultaneous courses |

1 | Dynamic programming | 3 | |

2 | Integer programming | 3 | |

3 | Combinatorial optimization | 3 | |

4 | Stochastic optimization | 3 | |

5 | Advanced linear optimization 2 | 3 | |

6 | Advanced nonlinear semi-infinite optimization 2 | 3 | |

7 | Linear semi-infinite optimization | 3 | |

8 | Multi objective optimization | 3 | |

9 | Network optimization | 3 | |

10 | Non-smooth optimization | 3 | |

11 | Optimization and neural networks | 3 | |

12 | Convex optimization | 3 | |

13 | Calculus of variations & optimal control | 3 | |

14 | Internal point methods | 3 | |

15 | Advanced simulation | 3 | |

16 | Stochastic optimal control | 3 | |

17 | Linear and nonlinear control | 3 | |

18 | Mathematical modeling | 3 | |

19 | Game theory and applications | 3 | |

20 | Facility location problem | 3 | |

21 | Special topics in optimization | 3 |

Main courses:

Course No | Course | units |

101 | Algorithm and calculation | 3 |

102 | Information theory | 3 |

Cryptography branch- Compulsory-optional courses:

No | Course | Units | Hours/ theory | Hours/ applied | Total hours | Prerequisites or simultaneous courses |

201* | Cryptography 1 | 3 | 48 | 48 | 101 , 102 | |

202 | Cryptography 2 | 3 | 48 | 48 | 201 | |

203 | Network security | 3 | 48 | 48 | 201 | |

204 | Probabilistic methods in Cryptography | 3 | 48 | 48 | 201 | |

205 | Steganography | 3 | 48 | 48 | 101 , 102 | |

206 | Database security | 3 | 48 | 48 | 201 | |

207 | Computational number theory | 3 | 48 | 48 | 201 | |

208 | Cryptography protocols | 3 | 48 | 48 | 201 | |

209 | Formal methods in Cryptography | 3 | 48 | 48 | 201 | |

210 | Special topics in Cryptography | 3 | 48 | 48 | Group permission |

*Passing the course 201 of this table is mandatory for the students whose majoring field is Cryptography .

Compulsory-optional courses

No | Course | Units | Hours/ theory | Hours/ applied | Total hours | Prerequisites or simultaneous courses |

3o1* | Coding theory 1 | 3 | 48 | 48 | 101,102 | |

302 | Coding theory 2 | 3 | 48 | 48 | 301 | |

303 | Network coding theory | 3 | 48 | 48 | 301 | |

304 | Iterative decoding algorithm | 3 | 48 | 48 | 302 | |

305 | Space time coding | 3 | 48 | 48 | 301 | |

306 | Source coding | 3 | 48 | 48 | 101 | |

307 | Quantum coding and information theory | 3 | 48 | 48 | 301 | |

308 | Ring based codes | 3 | 48 | 48 | 301 | |

309 | Linear error correcting network codes | 3 | 48 | 48 | 303 | |

310 | Special topics in coding | 3 | 48 | 48 | Group permission |

*Passing the course301 of this table is mandatory for the students whose majoring field is coding.

Main Courses:

No | Course | Units | Hours/ theory | Hours/ applied | Total hours | Prerequisites or simultaneous courses |

1 | Mathematical finance 1 | 3 | 48 | 48 | Theory of probability and Stochastic calculus as simultaneous course | |

2 | Stochastic calculus in finance | 3 | 48 | 48 | Measure theory and probability |

Mathematical finance branch – Optional courses Courses:

No | Course | Units | Hours/ theory | Hours/ applied | Total hours | Prerequisites or simultaneous courses |

1 | Mathematical finance 2 | 3 | 48 | 48 | ||

2 | Numerical methods in financial mathematics | 3 | 48 | 48 | ||

3 | Stochastic differential equations for financial markets | 3 | 48 | 48 | ||

4 | Semi martingales for financial markets | 3 | 48 | 48 | ||

5 | Numerical solution of Stochastic differential equations | 3 | 48 | 48 | ||

6 | Partial differential equations in mathematical finance | 3 | 48 | 48 | Measure theory and probability | |

7 | Monte Carlo methods for finance | 3 | 48 | 48 | ||

8 | Statistical methods for finance | 3 | 48 | 48 | ||

9 | Risk variations and management | 3 | 48 | 48 | ||

10 | Stochastic portfolio theory | 3 | 48 | 48 | ||

11 | Financial time series | 3 | 48 | 48 | ||

12 | Financial engineering | 3 | 48 | 48 | ||

13 | Malliavin calculus and its applications in finance | 3 | 48 | 48 | ||

14 | Levy processes in mathematical finance | 3 | 48 | 48 | ||

15 | Operational risk | 3 | 48 | 48 | ||

16 | Mathematics of investments | 3 | 48 | 48 | ||

17 | High- dimensional data analysis | 3 | 48 | 48 | ||

18 | Stochastic optimal control | 3 | 48 | 48 | Stochastic calculus in finance | |

19 | Special topics in mathematical finance | 3 | 48 | 48 | Group permission |

Selected Specialized Course Schedule:

No | Course | Units | Prerequisites or simultaneous courses |

1 | Ordinary differential equations 2 | 3 | Ordinary differential equations 1 |

2 | Partial differential equations 2 | 3 | Partial differential equations 1 |

3 | Discrete dynamic systems 1 | 3 | Fundamentals of Dynamic Systems (Undergraduates) |

4 | Individual theory 1 | 3 | Preliminary theory of differential equations (Undergraduates) |

5 | Dynamic systems 2 | 3 | Dynamic systems 1 |

6 | Variational methods in differential equations | 3 | Partial differential equations 1 |

The student must choose at least one course from the courses in the table above.

Selected Specialized Course Schedule:

Number | The Name of Course | Units | Prerequisites or Corequisites |

1 | Sturm Liouville Theory | 3 | Ordinary Differential Equation 1 |

2 | Integral Equations | 3 | Ordinary Differential Equation 1 |

3 | Asymptotics Analysis | 3 | Complex Functions and Ordinary Differential Equation 1 |

4 | Calculus of Variations | 3 | |

5 | Infinite Dimensional Dynamical Systems | 3 | Ordinary Differential Equation 1 |

6 | Fractional Differential Equations | 3 | Complex Functions (BSc Course) |

7 | Delay Differential Equational | 3 | Dynamical Systems 1 |

8 | Basic tools in differential Equations | 3 | Real Analysis 1 |

9 | Special Topics in ODE | 3 | Groups’ Permission |

Selected Specialized Course Schedule:

Number | The Name of Course | Units | Prerequisites or Corequisites |

1 | Elliptic Equations | 3 | Partial Differential Equations 1 |

2 | Applications of Lie group in Differential Equations | 3 | Partial Differential Equations 1 |

3 | Semi-groups and Evolution Equations | 3 | Partial Differential Equations 1 |

4 | Inverse Problems | 3 | Partial Differential Equations 1 |

5 | Hyperbolic Functions | 3 | Partial Differential Equations 1 |

6 | Mathematical Biology | 3 | Dynamical Systems 1 |

7 | Control Theory | 3 | Dynamical Systems 1 |

8 | Mathematical Physics 1 | 3 | Real Analysis 1 |

9 | Mathematical Physics 2 | 3 | Real Analysis 1 |

10 | Special Topics in PDE | 3 | Groups’ Permission |

Selected Specialized Course Schedule:

Number | The Name of Course | Units | Prerequisites or Corequisites |

1 | Ergodic Theory | 3 | Real Analysis 1 |

2 | Complex Dynamics | 3 | Complex Function (BSc Course) with the permission of Professor |

3 | Theory of Limit Cycles | 3 | Dynamical Systems 1 |

4 | Slow-Fast Systems and Canard Cycles in Plane | 3 | Dynamical Systems 1 |

5 | Bifureations in Hamiltonian Systems | 3 | Dynamical Systems 1 |

6 | Averaging and Normal Form theory | 3 | Dynamical Systems 1 |

7 | Computational Methods in dynamic Systems | 3 | Dynamical Systems 1 |

8 | Singularity Theory 2 | 3 | Singularity Theory 1 |

9 | Equivariant Dynamics | 3 | Basic Theory of Differential Equations (Bachelor Course) and Foundation of Algebra (Bachelor Course) |

10 | Special Topics in Dynamical Systems | 3 | Groups’ Permission |

The student is required to take at least one lesson from the set of tables in Tables 3, 4 and 5

Note: The student must take a maximum of one of the related master's degree courses outside of tables 2 to 5 in the opinion of the group.

Note: The student must take a maximum of one of the related master's degree courses outside of tables 2 to 5 in the opinion of the group.

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