$1.$ Install Python and some commonly used libraries

$2.$ Review the handout, available on Canvas: Numerical Solution of Nonlinear Equations

in One Variable and using this handout

$($a$)$ Plot Equation $(6),$ the function f $($x$)$

$($b$)$ Write a Python program to solve Example $2$ using the bisection method. Repro$-$

duce Table $2$

$($c$)$ Write a Python program to solve Example $6$ using the secant method. Reproduce

Table $6$

$($d$)$ Plot Equation $(2)$ and define and plot the function, f $($x$),$ for Equation $(2)$

$($e$)$ Write a Python program to solve Example $7$ using the combined bisection $-$ secant

method. Reproduce Tables $7$ and $8$

$3.$ Review the handout, available on Canvas: Numerical Solution of Ordinary Differential

Equations and Systems of Differential Equations Using the Runge$-$Kutta Method

$($a$)$ Write a Python program to solve Example $7$ of the above handout using the $4$th

order Runge$-$Kutta Method. Reproduce Tables $6$ and $7$