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Basic Course Descriptions
1. Differential geometry, global analysis, and topology
2. Algebra and number theory, algebraic and arithmetic geometry
3. Probability theory and financial mathematics
4. Discrete mathematics and discrete geometry
5. Linear, nonlinear, and combinatorial optimization
6. Numerical analysis, scientific computing, and visualization
7. Applied analysis, mathematical physics, and dynamical systems
Additional courses

For each of the seven teaching areas there are two one-semester basic courses (4 hours/week) with well-defined contents that define the knowledge and skills that any student pursuing advanced work in this area should have. Students will need to pass final exams after each semester that are designed to verify that the students actively master the contents of these courses at a working level. All basic courses will be taught every year. They will be accompanied by tutorial classes (2 hours/week) and homework problems. 

Below we give a brief description of these courses and of their intended contents.



 
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