Guide: This term project is an interim project aimed at solving Laplace's equation, the governing equation for groundwater flow, using numerical tools such as Excel, Matlab, Mathcad, Mathematica, and any programing languages students are capable of using. Students are welcome to use ChatGPT for programing.

Students are required to answer following problems and provide your calculation sheets.

Calculate the head at points $a,b,c,$ and $d$ on the figure below. Check the boundary conditions at the four sides of the square. All lines are equally spaced. Students can use any method to solve this problem $($analytical solution, hand calculation, matrix, programming etc.$)-20$pts

Dimension: Width$()=60m,$ Length $$