Math 104 A,B, Syllabus
Numerical Analysis

• Introductory Numerical Analysis
  • Solutions of nonlinear equations, Newton's method
  • Interpolation and approximations
  • Numerical differentiation and integration
  • Orthogonal polynomial and Gauss quadratures
  • Gauss elimination

• Matrix Computations
  • Gauss elimination and LU factorization
  • Least square methods
  • QR and power methods for eigenvalue problems
  • Jacobi and Gauss-Seideal and SOR iterative methods

• Numerical Methods of Ordinary Differential Equations
  • Various methods for ODE initial value problems
  • One-step methods
  • The Runge-Kutta Method
  • Linear multistep methods
  • Stiff initial value problems and stiff algorithms
  • Regions of absolute stability

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