MathLabTutorial 02/28/2016

Introduction to Numerical Computation with FreeMat

Below are all the works-practice, exercise, and assignments

Exercise 1 page, using FreeMat as a calculator

Create a row vector, starting from 0 to 10; 0.5 increment

CC= cos(x)*sin(x) gave error because 1*21 marix multiply 1*21 does not make sense, it should be (1*21)x(21*1). For the DD=cos(x).*sin(x),  it just each x from each matrix multiply together, which makes sense

Plotting

Used Hold command and I added one more graph

hold off and replot the graph

If we plot sinx and cosx as x and y, we get a circle, much as we expect as polar coordinate

solving for system of equation by finding inverse matrix

complex number practice

script to convert  from rectangular to polar coordinate

II. Finding roots and finding Laplace transform

By finding the root,  I now could factor out the denominator. 

I performed fraction decomposition manually and was able to use the table to find the inverse Laplace transform

III. Summary:
Overall, I found it not really hard to do. Just a few comments, sometimes, the tutorial came short so I had to look up some information online, such as when I wanted to print the polar coordinate, I had to look up sprintf. Secondly, I think that Matlab is easier than Java/C++ when it comes to Math, for these program, it would have cost me much greater time to finish with Java.