**Bachelor Program [#ld18d0b7] -Numerical Computation, 2005-present~ -Numerical Computation, 2005-2016~ This course covers numerical linear algebra using Mathematica and Maple, which includes applications of finite difference schemes to elliptic, parabolic, and hyperbolic equations &ref(FDM.pdf);, iterative and direct solution methods for large linear systems, a comparison of Jacobi, Gauss-Siedel methods and SOR method &ref(ISM.pdf);, and conjugate gradient method. #br -Applied Mathematics, 2004~ Applied mathematics covers 1D elliptic and parabolic partial differential equations, Fourier analysis, convergence and stabilty of finite diference schemes, and Lax equivalence theorem. **Master Program [#nb719089] -Experimental Mathematics, 2000-2006~ This course covers existence of weak solutions to the stationary drift-diffusion equation arising in semiconductors, Lax-Milgram theorem, Schauder fixed point theorem and iterative solution method, Tikhonov-Samarskii scheme and Scharfetter-Gummel scheme.