Content
Pepole
CV
| Last update: 2021/06/16 |
Numerical Analysis branch:
Compulsory Courses:
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 |
Optimization branch
Main Lessons:
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 |
Coding and Cryptography
Main courses:
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 .
Coding branch
Compulsory-optional courses
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.
Mathematical finance branch
Main Courses:
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 |
The branch of differential equations and dynamic systems
Selected Specialized Course Schedule:
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.
Ordinary Differential Equations Branch
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 |
Partial Differential Equations
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 |
Dynamical Systems Branch
Selected Specialized Course Schedule:
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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