Introduction to Python: some basics python, number type, array, conditional statements, loop, plotting with python; Numerical Linear Algebra: matrices in physics, basic matrix operation, a system of linear equations, Gaussian elimination, zeros and extrema of multivariable functions, eigenvalue problems, non-linear equations, Newton’s method, secant method, curve fitting, Spline interpolation; Numerical Calculus: numerical differentiation, numerical integration, roots of a function, extrema of a function, classical scattering; Numerical Ordinary Differential Equations: initial value problems, the Euler and Piccard method, predictor-corrector method, Runge-Kutta method; Numerical Partial Differential Equations: partial differential equations in physics, separation of variables, discretization of the equation, finite element method, and matrix method for difference equations, relaxation method, initial value problems; Numerical Classical Mechanics: simple harmonic oscillation, simple harmonic motion with damping, chaos, Kepler’s laws, stability of planetary orbits, precession of the perihelion of Mercury, three-body problem; Numerical Classical Electrodynamics: electric potentials and fields’ equation, potential and fields near electric charges, the magnetic field produced by current, magnetic field of a solenoid; The Monte Carlo method: introduction, Monte Carlo integration, Monte Carlo for the Ising model, Monte Carlo simulation of a monatomic gas, renormalization with Monte Carlo simulation, variational quantum Monte Carlo simulations, Green’s function Monte Carlo simulations, path integral Monte Carlo simulations, quantum lattice model, phase transition; Numerical Quantum Mechanics: time-independent Schrodinger equation, one dimension-shooting, and matching method, matrix approach, variational approach, time-dependent Schrodinger equation in two dimensions; High-performance Computing: the basic concepts, high-performance computer systems, parallelism, and parallel computing, data-parallel computing, distributed computing, and message passing.