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Master’s Degree Programs

010100.68 Mathematics
Specialization: Differential Equations, Dynamic Systems and Optimal Control  
Study Period: 2 years
Language of Instruction: Russian

 
Course Title
Hours
First Year
Second Year
1
2
3
4
M1 General Scientific Cycle
 
 
 
 
 
M1.B Basic Part
 
 
 
 
 
1.       Philosophy and Methodology of Scientific Cognition
108
3
 
 
 
2.       Theory of Functions and Functional Analysis
324
5
4
 
 
3.       Complex Analysis and its Application
216
2
4
 
 
M1.V Variable Part
 
 
 
 
 
1.       Pedagogy and Psychology
72
 
 
2
 
2.        Contemporary English (optional)
3.       Contemporary German (optional)
4.       Contemporary French (optional)
72
2
 
 
 
5.       Computer Technologies (optional)
6.       Information Technologies (optional)
216
2
4
 
 
M2 Professional Cycle
 
 
 
 
 
M2.B Basic Part
 
 
 
 
 
M2.V Variable Part
 
 
 
 
 
1.       Additional Chapters on Equations of Mathematical Physics
144
 
 
4
 
2.       Equations with Partial Derivatives
216
3.5
2.5
 
 
3.       Quality Theory of Differential Equations
288
4
4
 
 
4.       Asymptotic Methods of Theory of Differential Equations
72
2
 
 
 
5.       Fractals and Chaos in Dynamic Systems
108
 
 
3
 
6.        Theory of Dynamic System (optional)
7.       Theory of Stability (optional)
144
 
 
4
 
8.        Nonlinear Operator Equations (optional)
9.        Nonlinear Functional Analysis and Application (optional)
144
 
 
4
 
10.   Theory of Operator Semigroup and its Application (optional)
11.    Theory of Generalized Functions and its Application (optional)
72
 
 
2
 
M3 Training, Research Work  
 
3
15
12
15
M4 Final State Certification
 
 
 
 
12
 
Total
120