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Part I 

I. Numerical erros

II. Zeros of Functions Methods
    1. Bissection method;
    2. Newton method; 
    3. Secant method.

Part II 

I. Methods to solve linear systems
    1. LU decomposition
    2. Gauss elimination
    3. Jordan-Guass method
    4. Gauss-Seidel method

II. Polynomial-Interpolation
    1. Lagrange method
    A way to find a polynomial which takes on certain values at arbitrary points
    2. Newton method

III. Least squares method (LSM)

Part III 

I. Integration techniques
     1. Newton-Cotes formulas
        i.   Trapezoid rule or trapezium rule
        ii.  Simpson's 1/3 rule 
        iii. Simpson's 3/8 rule 
        iv.  Boole's Rule
    2.  Gaussian Quadrature
    
II. Ordinary differential equation (ODE) 

    1. Euler method 
    2. Runge-kutta methods (2,3, and 4)