SIMULTANEOUS LINEAR EQUATIONS

• So what does this mean that the computational time is proportional to some power of n in Gaussian Elimination method?

• Rusty on Matrix Algebra

• Is a square matrix strictly diagonally dominant?

• Is a square matrix diagonal?

• LU Decomposition takes more computational time than Gaussian Elimination! What gives?

• How do I solve simultaneous linear equations on matrix form in MATLAB?

• How do I solve simultaneous linear equations on equation form in MATLAB?

INTERPOLATION

• Experiment for spline interpolation and integration

• Length of a curve experiment

• Data for length of curve experiment

• Shortest path for a robot

• Do quadratic splines really use all the data points?

• Extrapolation is inexact and may be dangerous

• Finding the length of curve using MATLAB

• A simple MATLAB program to show that High order interpolation is a bad idea

• High order interpolation is a bad idea?

• If a polynomial of order n or less passes thru (n+1) points, it is unique!

• How do I do polynomial interpolation in MATLAB?

• How do I do spline interpolation in MATLAB?

INTEGRATION

• Is it just a coincidence - true error in multiple segment Trapezoidal rule gets approximately quartered as the number of segments is doubled?

• Can I use Trapezoidal rule to calculate an improper integral?

• Experiment for spline interpolation and integration

• Length of a curve experiment

• Shortest path for a robot

• Finding the length of curve using MATLAB

• Can I use numerical solution of ODE techniques to do numerical integration

• Example to show how numerical ODE solutions can be used to find integrals

• Automatic integrator using the trapezoidal rule

• Another improper integral solved using trapezoidal rule

• How do I integrate a continuous function in MATLAB?

• How do I integrate a discrete function in MATLAB?

ORDINARY DIFFERENTIAL EQUATIONS

• Data for aluminum cylinder in iced water experiment

• Comparing Runge-Kutta 2nd order methods

• Time of death - a classic ODE problem

• Runge-Kutta 2nd order method equations derived

• A MATLAB program for comparing Runge-Kutta 2nd order methods

• Example to show how numerical ODE solutions can be used to find integrals

• How do I solve an initial value ordinary differential equation in MATLAB?

• How do I solve a boundary value ordinary differential equation in MATLAB?

PROGRAMMING WITH MATLAB

• Skipping numbers in a lotto program

• Picking lotto numbers

• The BMI Index Program

HOW DO I DO THAT IN MATLAB SERIES?

• How do I display the data of an array in MATLAB?

• How do I differentiate in MATLAB?

• How do I integrate a continuous function in MATLAB?

• How do I integrate a discrete function in MATLAB?

• How do I solve a nonlinear equation in MATLAB?

• How do I solve a nonlinear equation that needs to be setup in MATLAB?

• How do I solve simultaneous linear equations on matrix form in MATLAB?

• How do I solve simultaneous linear equations on equation form in MATLAB?

• How do I do polynomial interpolation in MATLAB?

• How do I do spline interpolation in MATLAB?

• How do I do polynomial regression in MATLAB?

• How do I solve an initial value ordinary differential equation in MATLAB?

• How do I solve a boundary value ordinary differential equation in MATLAB?