Choose any one of the project topics below.

$1$ Choose a scientific $($real world$)$ problem of interest, learn how ordinary differential equations are used to aid in the research of that problem. Solve it using one or an extended version of any methods that we covered in the class.

$2$ Image processing $-$ research on the applications of matrices to color manipulation in images, image color conversion, or transformations in $2$D graphics

$3$ Matrix applications in epidemiological modeling. Research various way's or methods in which matrices are utilized in the modeling of disease spread.

$4$ Choose a paper from the literature that also introduces a numerical technique to solve a problem. Learn how to apply it and study how accurate it is$.$ Also, discuss if there is any relation between the technique and other numerical methods that we covered irf the class.