Numerical Fundamentals

1. to solve problems that may not be solvable by hand.
2. to solve problems (that you may have solved before) in a different way.

• Many of these simplified examples can be solved analytically (by hand)
  $$x^3-x^2-3x+3=0,with~solution~\sqrt3$$

• But most of the examples can not be simplified and can not be solved analytically.
• Mathematical relationships $\Longrightarrow$ simulate some real word situations.