Computational science basics
Errors & uncertainties in computations
Object-oriented programs: impedance & batons
Monte Carlo simulations (nonthermal)
Differentiation & searching
Solving systems of equations with matrices; data fitting
Differential equation applications
Fourier analysis: signals and filters
Wavelet analysis & data compression
Discrete & continuous nonlinear dynamics
Fractals & statistical growth
High-performance computing hardware, tuning, and parallel computing
Thermodynamic simulations & Feynman quantum path integration
Simulating matter with molecular dynamics
PDEs for electrostatics & heat flow
PDE waves: string, quantum packet, and E&M
Solitons & computational fluid dynamics
Integral equations in quantum mechanics.
