Lect2 Direct methods for solving linear system
Lect3 Iterative methods for solving linear system
Lect4 Eigenvalue problem for linear system
Lect5 Singular value decomposition and applications (PCA)
Lect8 Integer programming and other topics
Lect9 Solving nonlinear system
Lect10 Polynomial interpolation
Lect11 Fast Fourier Transform (FFT)
Lect12 Wavelets and applications
Lect13 Numerical integration: basics
Lect14 Numerical integration: adaptive and Gaussian quadrature
Lect16 Monte Carlo integration
Lect17 Metropolis algorithm and SSA
Lect18 Simulated annealing and Genetic algorithm
Lect19 One-step method for numerical ODEs
Lect20 Multi-step method and stability condition