• List of Undergraduate Courses (USTC)

  
  -Mathematical Analysis
  -Number Theory
  -Linear Algebra
  -Euclidean Geometry
  -Abstract Algebra
  -Topology
  -Complex Analysis
  -Ordinary Differential Equation
  -Differential Geometry
  -Real Analysis
  -Functional Analysis
  -Partial Differential Equation
  -Fortran and C-languages
  -Pascal and Database
  -Mechanics
  -Physics of Thermal Mechanics
  -Electronic Magnetism
  -Optics and Nuclear Physics
  -Analytic Mechanics
  -Operation Research
  

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• List of Graduate Courses (USTC)

  
  -Linear and Nonlinear Elliptic Partial Differential Equations
  -Nonlinear Diffusion Equations
  -Nonlinear Functional Analysis
  -Module Theory
  -Algebraic Number Theory
  -Algebraic Geometry
  -Nonlinear Evolution Equations and Soliton
  -Differential Topology
  -Riemann Geometry
  -Differential Manifold
  

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• List of Graduate Courses (Purdue)

  
  -Partial Differential Operators
  -Banach Algebra
  -Partial Differentiable Equations
  -Group and Galois Theory
  -Numeric Linear Algebra and High Performance Fortran