-Numerical differentiation: rules of 2, 3 and 5 points, Richardson Extrapolation
-Numerical integration: Simpson rule, Romberd integration.
-Zeros of a function: bissection, secant and Newton-Raphson methods
-Linear sistems of equations: Gauss elimination, LU factorization
-Conjugated gradient method
-Linear and nonlinear regression
-Monte Carlo methods: numerical integration, gillespie
-Solving differential equations: Euler, Euler-Cromer, Runge-Kutta methods; stiff equations
-Solving partial differential equations.
Bibliography of reference
S. Dunn, Numerical methods in Biomedical Engineering, Academic Press (2005)
P. DeVries, J. Hasbun , A First Course in Computational Physics, Jones & Bartlett Publishers (2010)
C. Moler, Numerical Computing with MATLAB, SIAM (2008)
G. Smith, Numerical Solution of Partial Differential Equations: Finite Difference Methods, Clarendon Press (1985)
J. Faires, R. Burden, Numerical Analysis, Brooks/Cole (2005)