Numerical Analysis

the long version

This text begins with an introduction to MATLAB (Student Version). Contents: Root Approximations with Newton's Method and others, Partial Fraction Expansion, Sinusoids, Complex Numbers, Matrices and Determinants, Differential Equations, Power Series, Finite Differences, Interpolation, Linear and Parabolic Regression, Solution of Differential Equations and Integration by Numerical Methods, Difference Equations, Gamma and Beta Functions, Bessel, Legendre, and Chebyshev Polynomials, and Optimization Methods.