Programs in MATLAB and Worksheets in MAPLE.


Change of Bases

From a Decimal Base to another Base (Loop-Break)

From a Decimal Base to another Base (While-Loop)

From a Decimal Base to another Base (Subroutine)

From a Decimal Base to another Base (Subroutine-Mod)

Main Program

Floating Point(MAPLE)


Euler Constant

First code to obtain Euler Constant

Second code to obtain Euler Constant

Third code to obtain Euler Constant

Fourth code to obtain Euler Constant

Fifth code to obtain Euler Constant

Burden Problem to obtain Euler Constant

Burden Problem(2) to obtain Euler Constant


Nested Multiplication

Example


Finding Roots

Bisection Method

Principal Program

Principal Program 2

Bisection as a Subroutine

Data Functions

Fixed-Point Iteration

Principal Program

Data Functions

Newton's Method

Principal Program

Auxiliary Program

Data Functions

Derivative of Data Functions

Secant's Method

Auxiliary Program

Data Functions

Aitkens's Method

First version (use an original sequence). Principal Program.

Second version (it generates its own original sequence). Principal Program.

Original Sequence

Steffensen’s Method

Principal Program

Data Functions

Muller's Method

Principal Program

Auxiliary Program

Data Functions


Polynomial Interpolation

Lagrange Polynomials versus Taylor Polynomials

Neville's Method

Auxiliary Program 1 (Data set of points)

Auxiliary Program 2 (Data set from function)

Data Functions

Newton's Interpolatory Divided Differences Method

Hermite Interpolation Method

Principal Program

Auxiliary Program

Spline Interpolation Method

Principal Program

Auxiliary Program

Tridiagonal systems subroutine

Spline construction and evaluation

Bezier Curves

Data set of points for Bezier Algorithm

Discrete Least Squares Approximation

Fitting Data with Quadratic and Cubic Polynomials)

Orthogonal Polynomials and Least Squares Approximation

legendre Polynomials Graphs

Approximation of Sin(pi*x)

Simpson Integration Formula Error


Numerical Solutions of Linear Systems

Pivot Strategies

Two Examples

One Example

Computation of Matrix Norms


Numerical Differentiation

Approximation of derivatives