Essential Mathematics for Data Scientists - Assessment 3: Microchip voltage

Assessment 3: Microchip voltage
You are now asked to write some code of your own that will achieve the goals laid out below. The purpose of this exercise is two-fold. It will a) test your skills in designing and implementing a MATLAB program, and b) it should demonstrate some features of ill-conditioned problems. The exercise is to track a power surge in a microchip that is modelled by a linear system of
equations. You will ‘evolve’ this system in time. ‘Evolve’ here means to simulate the voltage in the microchip by starting from an initial voltage distribution and then calculating the voltage at later
points in time.

What follows is a series of steps in the exercise that you should work through and accomplish. Interspersed through the steps are some goals, which are outlined with a box. The goals are the items that you must achieve for the assessment to be complete and receive the total mark. When you submit your completed assessment, you should provide:
* The full code
* A summary that includes each of the goals, which can be done through:
o A word document: include a description of each answer with its corresponding goal number and each plot as an image in the document; or
o A series of text files and image files: each one of these should be labeled ‘Goal_x.txt’ or ‘Goal_x.png’ where ‘x’ is the goal number.