Syllabus of basic courses

Basic courses

• Algebra
  Commutative Algebra
  Modern Algebra

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• Analysis
  Real Analysis I
  Functional Analysis I
  Complex Analysis I

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• Numerical Analysis & Scientific Computing (Modeling incl.)
  Numerical Analysis I
  Numerical Solution of Partial Differential Equations (Methods in Differences)
  Numerical Solution of Ordinary Differential Equations (Methods in Differences)

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• Differential Equations
  Ordinary Differential Equations
  Partial Differential Equations

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• Statistics
  Bayesian Inference
  Statistic Inference

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• Mathematical Finance
  Mathematical Finance and Derivatives in Discrete Time
• Risk theory
• Mathematical Finance and Derivatives in Continuous Time
  

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• Geometry
  Algebraic Geometry
  Differential Geometry

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• Discrete Mathematics
  Graph Theory
  Fundamentals of combinatorial

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• Probability
  Probability I
  Stochastic processes

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• Continuous Systems
  Introduction to Mecanical Analytics
  Introduction to Continuous Media

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• Topology
  Algebraic Topology
  Differential Topology
  General Topology